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?, Thomas Calculus 14th Edition Solution PDF free download of PDF is a perfect textbook to familiarize yourself with the basic college and the college of Thomas Calculus 14th Edition Solution PDF free download of PDF free lessons and training. If you've ever taken a course in the level of the College Thomas Calculus 12th Edition, you will find this

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the US calculation Thomas? ? ?,? ? "? help students reach the level of mathematical and maturity competence needed, but with support for students who need it through Its balance of clear and intuitive explanations, current applications and generalized concepts. In the 14th edition, the new Coautrice Christopher Heil (Georgia Institute of

Technology) partner with the author Joel Hass to preserve what is the best of the text tested by Thomas's time while reconsidering every word and every art with today's students in mind. The result is a text that goes beyond the storage of the formulas and routine procedures to help students to generalize key concepts and develop a deeper

understanding. Content Index 1. Functions 1.1 Functions and their graphics 1.2 Combination of functions; Graphs moved and resizing 1.3 Trigonometric functions Click here to get Amazon books and audiobooks 1.4 Graphics with software 2. Limits and continuity Read: >>> The easier universities to enter the United States 2.1 Change rates and

tangent lines to the curves 2.2 limit of a function and limits laws 2.3 The precise definition of a limit 2.4 Unilateral limits Click here to get Amazon books and audiobooks 2.5 Continuity 2.6 limits involving the infinite; Asymumptotes of Graphs 3. Derivatives ? € > The easier universities to enter the United States 3.1 Tangent lines and the derivative at a

point is, 3.2 derivative as a function 3.3 Rules of differentiation click Here to obtain amazon books and audiobooks 3.4 The derivatives a change rate 3.5 derivatives ? € > The easiest universities to enter the United States 3.8 Related rates relative ?, ?, ?, ?, ?, ?, ?, ?, linearization e Click here to get Amazon books and audiobooks 4. Derivatives

applications ? € >> The easiest universities to enter the United States 4.5 applied applied Click here to get Amazon Books and AudioBooks 4.6 "Newton Method 4.7? Antidivatives 5. Integral 5.1 Area and estimate with finite sums 5.2 Sigma Notation and finite summit limits 5.3 The integral click defined here to get books Amazon and Audiobooks

Read: >> > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > The fundamental theorem of Calculation 5.5 Indefinite Integrals and the method of

substitution 5.6 Defined integral replacements and the area between curves 6. Applications of integrals defined 6.1 Volumes using cross sections 6.2 Volumes using cylindrical Shells Click here to get books Amazon and AudioBooks 6.3 ARC Length Read: >>>> > > Universities easier to enter the United States 6.4 Areas of revolution surfaces 6.5

Work and fluid forces 6.6 Moments and mass centers 7. 7.1 Subsequent Functions 7.1 Reverse Functions 7.1 Reverse Functions Click here to get Amazon and Audio Books 7.2 Natural Logarithms 7.3 Exponential Functions Read: >> > > > The easiest universities to enter U SA 7.4 Exponential Changes and separable equations 7.5 Undeterminated

Shapes and adjusting the Hyper Rates 7.6 Integration Techniques 8.1 Basic Use Integration Formulas Read: >> > More easy to enter USA 8.2 Integration for parts 8.3 Integral trigonometrics 8.4 Trigonometric substitutions Click here to get books Amazon and Audiolibri 8.5 Integration of rational functions by partial fractions 8.6 Integral tables and

algebra systems Computer 8.7 Numerical integration 8.8 Unprepared Integrals Click here to get books Amazon and Audiobooks 9.1 Solutions, slope fields and Eulero Method 9.2 Linear equations of first order 9.2 9.3 Applications 9.4 Graphical solutions of autonomous equations 9.5 Equations and phase plans Read:> > > > > > > More easy to enter

USA 10. Infinite sequences and series Click here to get Amazon books and AudioBooks 10.1 Sequences 10.2 Infinite Series 10.3 The 10.4 Comparison Test 10.5 Absolute Convergence; 11.6 Root and Root Tests 10.6 Alternate Series and Conditional Convergence Click here to get Amazon and Audio Books Read: >> > > > > > > > > > > > > > > > >

> > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > > Click here to get Amazon books and Audiobooks 12. Vectors and geometry of space 12.1 12.1Coordination systems Read: >>> The easiest

universities to enter the United States 12.3 Vectors 12.3 The product point 12.4 The cross produced 12.5 lines and planes in space Click here to get Amazon Books and AudioBooks 12.6 Cylinders and Quadric Surfaces 13. Vector functions and movement in space 13.1 curves in space and their bribes Read: >> easier universities to enter the USA 13.2

Integral of vector functions; Projected motorcycle 13.3 Arc Length in space 13.4 Bending and normal vectors of a curve Click here to get Amazon books and audiobooks 13.5 Tangential and normal acceleration components 13.6 Speed ?and acceleration in Polar Coordinates 14. Partial derivatives 14.1 Functions of various variables Read:> >> more

easy universities to enter the United States 14.2 Limits and continuity in higher size 14.3 Partial Derivatives Click here to get Amazon Books and AudioBooks 14.4 The chain rule 14.5 Directional derivatives and gradient vectors 14.6 Tangent and differential floors 14.7 Values ?and points Pay 14.8 Multipliers Lagrange Read:> Small universities to enter

the USA 14.9 Taylor formula for two variables Click here to get Amazon Books and AudioBooks 14.10 Partial derivatives with Constrained Variables 15. Multiple integral 15.1 Integral Double and Itered on rectangles 15.2 Double integral on the General regions 15.3 Double integration area and 15.4 double integrations in polar form Click here to get

books and audiobooks Amazon The easier universities to enter the United States 15.5 Trickle integral in rectangular coordinated 15.6 Applications 15.6 Trickle integral in cylindrical coordinates and spherical 15.8 replacements in multiple integral 16. Integral and Vector Fields 16.1 Integral Function Function Line Click here to get Amazon Books and

AudioBooks 16.2 Fields Vector and Integral Line: Work, circulation and flow easier universities to get in USA 16.3 Path Independence, conservative fields and potential functions 16.4 Green theorem in the PIANO 16.5 SURFACES AND AREA 16.6 SURFACE INTEGLES 16.7 STOKES "CLICK HERE TO GET AMAZON BOOKS AND AUDIOBOOKS 16.8

The theorem of divergence and a unified theory 17. Differential equations of the second order (Online on goo.gl/mgdxpy) UNIVERSITY Easy to enter the United States 17.1 Linear equations second-order 17.2 equality non-homogeneous linear 17.3 Applications 17.4 Euler equations Click here to get Amazon Books and AudioBooks 17.5 EnergySeries Appendices 1. Real Numbers and Real Line Read: >>>> More easy to get to the USA 2. Mathematical induction 3 . Lines, circles and parabola 4. Testing of the limit theorems Click here to get books and audiobooks Amazon 5. Common ordinary limits 6. Real number theory 7. Complex numbers 8. The distribution law for the products of the

cross vector UNIVERSITIES Easy to get in the USA 9. Theorem Mixed and theorem Increment Download or Buy eBook hereis a timeline of pure and applied mathematical history. is divided here in three stages, corresponding to stages in the development of mathematical notation: a redecorate phase in which calculations are described purely by

words, a synchropathic phase in which the common algebraic quantities and operations are beginning to be represented by symbolic abbreviations, and finally a symbolic phase, in which complete notional systems for formulas are the norm. rhetorical phase before 1000 BC approximately 70,000 BC ¨C south of Africa, ochre rocks adorned with

scratched geometric motifs (see blombos cave) [1] about 35,000 BC to 20,000 BC ¨C africa and france, the first prehistoric attempts known to quantify time. [2][3][4] c. 20,000 BC ¨C nile valley, ishango bone: perhaps the first reference to the first numbers and Egyptian multiplication. c. 3400 BC ¨C mesopotamia, the Sumerians invent the first numerical

system, and a system of weights and measures. c. 3100 BC ¨C egitto, the first known decimal system allows indefinite count through the introduction of new symbols. [5] c. 2800 BC ¨C Civilization of the Indus Valley on the Indian subcontinent, first oo of decimal relations in a uniform system of ancient weights and measures, the smallest unit of

measurement used is 1.704 mm and the smallest unit of mass used is 28 grams. 2700 BC ¨C egitto, precision detection. 2400 BC ¨C egypt, precise astronomical calendar, also used in the Middle Ages for its mathematical regularity. c. 2000 BC ¨C mesopotamia, Babylonians oate a base-60 numerical system and calculate the first approximate value known

to ¦Ð to 3.125. c. 2000 BC ¨C the slag, the carved stone spheres expose a variety of symmetries including all the symmetries of platonic solids, although it is not known if this was deliberate. 1800 BC ¨C Egyptian, mathematician papyrus fly, finds the volume of a frustum. c. 1800 BC ¨C berlin papyrus 6619 (egitto, xix dynasty) contains a square equation and

its solution. [5] 1650 BC ¨C rhind mathematical papyrus, a copy of a lost parchment around 1850 BC, the scribe ahmes presents one of the first known approximate values of ¦Ð to 3.16, the first attempt to squaring the circle, the oldest known oo of a kind of cotangent, and the knowledge to solve the linear equations of first order. synchronized phase 1st

millennium bc c. 1000 bc ¨C simple fractions used by Egyptians. However, only fractions are used (i.e. those with 1 as numberer) and interpolation tables to approximate the values of the other fractions. [6] first half of the 1st millennium bc ¨C Vedic india ¨C yajnavalkya, in its shatapatha brahmana, describes the movements of the sun and the moon, and

advances a 95-year cycle to synchronize the movements of the sun and moon. 800 BC ¨C baudhayana, author of the baudhayana sulba sutra, geometric text Vedic sansk,Quadratic equations, and calculates the square root of two correctly five decimal points. c. 8. 8. BC ¨C Yajur Veda, one of the four Hindu Vedas, contains the first concept of infinite, and

states "if you remove a part from the infinite or add a part to the infinite, still what remains is the infinite." 1046 BC to 256 BC - China, Zhoubi Suanjing, arithmetic geometric algorithms, and evidence. 624 BC ¨C 546 BC ¨C Greece, Thales of Miletus has several theorems attributed to him. c. 600 BC ¨C Greece, the other Vedic "Sulba Sutras" ("rules of

agreements" in Sanskrit) use the triple Pythagoreans, contain a series of geometric tests, and ¦Ð approximate to 3.16. second half of the 1st millennium BC ¨C The square Lo Shu, the only normal square of order three, was discovered in China. 530 BC ¨C Greece, Pythagoras studies propositional geometry and vibrating lire strings; his group also discovers

the irrationality of the square root of two. Greece 310 BC, Greece 390 BC, Greece 370 BC IV century BC ¨C Indian texts use the Sanskrit word "Shunya" to refer to the concept of "void" (zero). IV century BC ¨C China, 330 BC ¨C China, the first known work on Chinese geometry, the Mo Jing, is compiled. 310 BC ¨C 230 BC ¨C Greece, Samos Aristarchus 390

BC ¨C 310 BC ¨C Greece, HeracidesPontus 380 BC ? ? ?,? "320 BC ? ? ?,?" Greece, MENAECHMUS 300 AC? ? ?,? "India, Mathematicians Jain in India write the Sutra Bhagabati, which contains the first information on combinations. 300 BC ? ? ?,? "Greece, Euclid in its elements studies geometry as an axiomatic system, demonstrates the infinity of

the first numbers and presents the Euclidean algorithm; He declares the law of reflection in codoptric, and demonstrates the fundamental theorem of Arithmetic. C. 300 AC? ? ?,? "India, Numbers of Brahmi (ancestors of the common basic basic basis system 10) 370 BC ? ? ?,?" 300 BC ? ? ?,? "Greece, Eudemus of Rhodes works on Arithmetic

stories, geometry and astronomy now lost. [7] 300 AC? ? ?,? "Mesopotamia, the Babylonians invent the first calculator, the abacus. C. 300 Ac? ? ?,? "Indian pingala math writes Chanah-Shastra, which contains the first Indian use of zero as a figure (indicated by a point) and also has a description of a binary numerical system, together with the first

Use of Fibonacci numbers and the Pascal triangle. 280 BC ? ? ?,? "210 BC ? ? ?,?" Greece, Nicomedes (mathematician) 280 BC ? ? ?,? "220BC? ? ?,?" Greece, Philon by Byzantium 280 BC ? ? ?,? "220 BC ? ? ?,?" Greece, Conon of Samos 279 BC ? ? ?,? "206 BC ? ? ?,?" Greece, Chrysippus c. 3 ? ¡ã century BC ? ?,? "India, K?¡è Ty? Yana 250 BC

? ? ?,?" 190 BC ? ? ?,? "Greece, Dionisodoro 262 -198 BC ? ? ?,?" Greece, Apollonius of Perga 260 ac?, " Greece, Archimedes showed that the value of ?? ?,? is located between 3 + 1/7 (about 3,1429) and 3 + 10/71 (approx. 3,1408), which the area of ?a circle was equal to ?? ? , ? multiplied from the square of the rage of the circle and that the area

enclosed by a parable and a straight line is 4/3 multiplied by area of ?a triangle with base and Equal height. He also gave a very accurate estimate of the value of the square root of 3. c. 250 BC ? ? ?,? "The end of Olmecs had already begun to use a real zero (a glycet shell) several centuries before Ptolemy in the new world. See 0 (number). 240 BC ? ?

?,?" Greece, Eratosthenes uses its sieve algorithm to quickly isolate the first numbers. 240 AC 190 Ac? ? ?,? "Greece, Diocle (mathematician) 225 BC ? ? ?,?" Greece, Pergaus Apollonius writes about conical sections and appoints the ellipse, the parable and hyperbole. 202 AC at 186 BC ? ? ?,? "China, book on numbers and calculation, a

mathematical treatise, is written in the Han dynasty. 200 BC ? ? ?,?" 140 BC ? ? ?,? "Greece, Zenodoro (mathematician) 150 Ac? ? ?,? "India, mathematicians Jain in India Write the Sutra Sthananga, which contains works on the theory of numbers, arithmetic operations, geometry, operations with fractions, simple equations, cubic equations,

quartque equations and permutations and combinations. C. 150 BC ? ? ?,? "Greece, Perseo (Geometer) 150 BC ? ? ?,?" China, a Gaussian elimination method appears in the Chinese text the nine chapters on mathematical art. 150 ac?, "China, the Horner method appears in the Chinese text the nine chapters on mathematical art. 150 Ac? ? ?,?"

China, negative numbers appear in the Chinese text the nine chapters on art 150. 150. ? ? ?,? "75 BC ? ? ?,?" Phoenician, Zeno of Sidone 190 BC ? ? ?,? "120 BC ? ? ?,?" Greece, Ipparco develops the bases of trigonometry. 190 BC ? ? ?,? "120 AC - Greece, Ipsicles 160 BC ? ? ?,?" 100 BC ? ? ?,? "Greece, Bithynia Theodosium 135 BC ? ? ?,?" 51

BC ? ? ?,? "GREECE, POSIDONIUS 78 BC ? ? ?,?" 37 BC ? ? ?,? "" China, Jing Fang 50 BC ? ? ?,? "Indian numbers, a descendant of the numbers of the Brahmi (the first system of basic numbers -10 notation-10), Development begins in India. Met? of the first century Cleomedes (up to 400 AD) Final centuries BC ? ? ?,? "Indian astronomer

Lagadha writes Vedanga Jyotista, Vedic text on astronomy which describes the rules for monitoring the movements of the sun and the moon, and use geometry and trigonometry for astronomy. 1 ? ¡ã C. BC ? ? ?,? "Greece, Geminus 50 BC ? ? ?,?" 23 DC ? ? ?,? "China, Liu Xin 1st Millennium at 1st century - Greece, Heron of Alexandria, ( Hero) The

first fleece reference to square roots numbers. C 100 ? ? ?,? "Greece, ton of smyrna 60 ? ? ?,?" 120 ? ? ?,? "Greece, Nicomachus 70 ? ? ?,?" 140 ? ? ?,? "Greece, Menelaus of the spherical trigonometry of Alexandria 78 - 139 ? ? ?,?" China, Zhang Heng c. The 2nd century ? ? ?,? "Greece, Tolomeo di Alessandria wrote the Almagest. 132 - 192 ? ?

?,? "China, Cai Yong 240 ? ? ?,?" 300 - Greece, Sporus of NICEA 250 ? ? ?,? "Greece, DioFantus uses symbols for unknown numbers in terms of synced algebra and writes L 'Arithmetic, one of the first treated on algebra. 263 ? ? ?,? "China, Liu Hui calculates ?? ?,? using the algorithm of Liu Hui Hui. 300 ? ? ?,? "The first use of zero as a decimal

figure is introduced by Indian mathematicians. 234 ? ? ?,?" 305 ? ? ?,? "Greece, porphyry (philosopher) 300 ? ? ?,?" 360 ? ? ?,? "Greece, serene by Antinouplis 335 ? ? ?,?" 405 "Greece, the Alexandria c. 340 ? ? ?,?" Greece, Pappo di Alessandria states its hexagonal theorem and its theorem of the Centroid. 350 ? ? ?,? "415 ? ? ?,?" Byzantine

Empire, Hypatia C. 400 ? ? ?,? "India, the Manuscript Bakhshali was written by Jaina Mathematicians, who describes a theory of infinity containing different levels of infinity, shows an understanding of the indices, as well as logarithms at base 2 e Calculate square roots of large numbers as a million corrected at least 11 decimal points. From 300 to

500 ? ? ?,? "Chinese rest theorem is developed by Sun Tzu. From 300 to 500 ? ? ?,? "China, a description of the calculation of the rod is written by Sun Tzu. 412 ? ? ?,?" 485 - Greece, CROCLUS 420 ? ? ?,? "480 ? ? ?,? "Greece, Domninus of Larissa B 440 ? ? ?,?" Greece, Marinus of Neapolis "I wish everything was mathematical". 450 ? ? ?,?

"China, zu chongzhi calculates ?? to seven decimal points. This calculation remains the most accurate calculation for ?? ?,? for almost a thousand years. C. 474 ? ? ?,? "558 ? ? ?,?" Greece, Anthemio of Tralles 500 ? ? ?,? "India, Aryabhata writes the Aryabhata-Siddhanta, which for the first time introduces trigonometric functions and Methods to

calculate their approximate numerical values. Defines the concepts of Sine and Cosine and also contains the first tables of healthy and cosine values ?(in intervals of 3.75 degrees from 90 degrees). 480 ?€ "540 ?€" €"eutocio di ascalon 490 - 560 ?€ "grecia, simplius of the cylicia of the vi century - aryabhata offers accurate calculations for astronomical

constants, such as solar eclipse and lunar eclipse, computes ? to four decimal points and obtains the entire number of solutions to linear equations from a method equivalent to the modern method. 505 ?€ "587 ?€" india, var? hamhira 6th century ?€ "india, Yativ¨¢1> ¨¢1 ? abha 535 ?€" 566 ?€ "inland, zhen luan 550 ?€" Hindu mathematicians give zero

a numerical representation in the system of numerous Indian positional notation. 600 ? € "in, liu zhuo or to the square interpolation. 602 ? € "670 ? €" cina, li chunfeng 625 cina, wang xiaotong writes jigu suanjing, where cubic and quartici equations are resolved. the 7th century ?€ "india, bhaskara gives a rational approximation of the sinusoidal

function. the 7th century ?€ "india, brahmagupta invents the method to solve the indefinite equations of the second degree and is the first to oate the algebra to solve astronomical problems. It also develops methods for calculating the movements and places of various planets, their rise and setting, joint and the calculation of the eclipses of the sun

and moon. 628 ?€ "brahmagupta writes the Brahma-Sphuta-Siddhanta, where the zero is clearly explained, and where the modern Indian numeral system of the value of the place is completely developed. also gives rules to manipulate both negative and positive numbers, methods for calculating square roots, methods of solving linear and square

equations and rules for the administration of the series, the identity of brahmagupta and the theorem of brahmagupta. 721 ?€ "crew, zhang sui (yi xing) calculates the first tangent table. theiv century ?€ "india, virasena offers explicit rules for the sequence of fibonacci, gives the derivation of the volume of a flussum using an infinite procedure and

also deals with the logarithm at base 2 and knows its laws. 8th century ?€ "india, shridhara gives the rule to find the volume of a ball and also the formula to solve the square equations. 773 ?€ "iraq, kanka brings Brahma-Sphuta-Siddhanta of brahmagupta to baghdad to explain the Indian system of arithmetic astronomy and the Indian numerical

system. 773 ?€ "Al-Fazari translates Brahma-Sphuta-Siddhanta into Arabic on request of the king khalif Abbasid to the mansoor. the ix century ?€ "india, govindsvamin discovers the interpolation formula of Newton-Gauss and provides fractional parts of the aryabhata tabular sine. 810 ?€ "The house of wisdom is built in baghdad for the translation of

Greek mathematical works and sanskrit in Arabic. 820 ?€ "Persian mathematics, the father of algebra, writes Al-Jabr, later transliterated as algebra, which introduces systematic algebra techniques to solve linear and square equations. translations of his book on arithmetics will introduce the Hindu decimal number system to the Western world in the

12thThe term algorithm was also named by him. 820 ? € " Iran, " Iran,Conceived the idea of ?reducing geometric problems how to double cube to algebra problems. c. 850 - Iraq, Al-Kindi Pioneers Cryptanalysis and frequency analysis in his book on cryptography. c. 850 - India, Mah? V? ?Ra writes Ga¨¢? ? Itas? rasan¨¬" Graha otherwise known as the

Ganita Sara Samgraha that gives systematic rules to express a fraction as the sum of the fractions of units. 895 ? Syria, Thabit Ibn Qurra: The only surviving fragment of the original work of him contains a chapter on the solution and the properties of the cubic equations. He also generalized the Pythagorean theorem, and discovered the theorem with

which you can find pairs of friendly numbers (ie two numbers such that each is the sum of the appropriate dividers of the other). c. 900 - Egypt, Abu Kamil had begun to understand what we would write into symbols like XN ?? = XM + n {DisplayStyle x ^ {n} cdot x ^ {m} = x ^ {m + n} } 940 ? € "Iran, Abu'l-Wafa al-Buzjani extracts the roots using

the Indian numerical system. 953 ? € ?The arithmetic of the indone-arabic numerical system at first requested the use of a dust blackboard (a sort of handheld chalkboard) because "the methods needed to move the numbers around the calculation and rub some out how the calculation has proceeded. " Al-UQLidisi has changed these methods for the

use of paper and pen. In the end the progress obtained from the decimal system have led to its standard use throughout the region and in the world. 953 ? € "Persia, Al-Karaji is the" first person to completely free algebra from geometric operations and to replace them with the arithmetic type of operations that are at the center of today's algebra. It

was the first to define the monomials X {displaystyle x}, x 2 {displaystyle x ^ {2}}, x 3 {displaystyle x ^ {3}}, ... and 1 / x {displaystyle 1 / x}, 1 / x 2 { DisplayStyle 1 / x ^ {2}}, 1/15 {DisplayStyle 1 / x ^ {3}}, ... and to give rules for products of any two of these. He started a algebra school that flourished for several hundred years ". He also

discovered binomial theorem for whole exponents, which "was an important factor in the development of numerical analysis based on the decimal system". 975 - Mesopotamia, Al-Batani has extended the Indian concepts of Sine and so much to other trigonometric relationships, such as bribes, secant and their reverse functions. Derived the formulas:

Sin ? ?? ¡À = Tan ? ? ? ¡À / 1 + Tan 2 ?¡À ? ¡À {DisplayStyle sin alpha = Tan alpha / {sqrt {1+ tan ^ { 2} alpha}}} and so ?? ¡À = 1/1 + TAN 2 ?? ¡À {DisplayStyle COS ALPHA = 1 / {SQRT {1+ TAN ^ {2} Alpha }}}. Symbolic phase 1000? € "1500 c. 1000 ? € "Ab?? Sahl al-q? ?H?? (Kuhi) solves equations higher than the second degree. c. 1000 ? € "AbuMahmud Al-Khujandi first states a special case of the latest Fermat theorem. c. 1000 ? € "The law of the Sini is discovered by Muslim mathematicians, but it is uncertain that it finds out first between Abu-Mahmud Al-Khujandi, Abu Nasr Mansur and Abu al-Wafa. c. 1000 ? € "Pope Sylvester II introduces the abacus he Numerical system in Europe.

1000 ? ? ?,? "al-karaji writes a book containing the first tests known by mathematical induction. He used him to demonstrate the binomial theorem, the triangle of Pascal and the sum of the integral cubes. [8] was" the first who He introduced the theory of the Algebro calculation ". [9] C. 1000 ? ? ?,?" Ibn Tahir al-Baghdadi studied a slight variant of

the Thabit Ibn Qurra theorem on friendly numbers, and also made improvements on the decimal system. 1020 ? ? ?,? "Abul W????fa gave the formula: sin (? ¡À + ??) = sin ? ¡À ? ¡À so ?? + sin ?? so ? ? ? ? ¡À. He also discussed the parabola's quadrature e The volume of the paraboloide. 1021 ? ? ?,? "Ibn al-Haytham formulated and solved the problem of

alhazen geometrically. 1030 ? ? ?,? "Ali Ahmad Nasawi writes a treaty on the systems of decimal and sexagesimal numbers. Its arithmetic explains the division of the fractions and the extraction of square and cubic roots (square root of 57.342; cubic root of 3, 652 , 296) in an almost modern way. [10] 1070 ? ? ?,? "Omar Khayy??m starts writing the

treaty on demonstrating algebra problems and ranking cubic equations. C. 1100 ? ? ?,? "Omar Khayy????m" gave a complete classification of cubic equations with geometric solutions found by intersecting conical sections ". It has become the first to find general geometric solutions of cubic equations and posed the FUNDAMENTS FOR THE

DEVELOPMENT OF ANALYTICAL GEOMETRY AND NON-EUCLIDEA geometry. It also has root extracts using the decimal system (system of ind¨¬ Arabic numbers "). The Indian numbers of the 12th century were modified by the Arab mathematicians to form the modern Arab numerical system (used universally in the modern world). The 12th century

? ? ?,? "The Arab numerical system reaches Europe through the Arabs. The 12th century - Bhaskara Acharya writes the lilavati, which covers the themes of the definitions, the arithmetic terms, the calculation of interests , arithmetic and geometric progressions, aerial geometry, plane geometry, solid geometry, gnomon shadow, methods to solve

indeterminate equations and combinations. The 12th century ? ? ?,? "bh?¡è Skara II (Bhaskara Acharya) writes Bijaganita (Algebra), which is the first text to recognize that a positive number has two square roots. The 12th century - Bhaskara Acharya conceives the differential calculation, and also develops the Rolle's theorem, the Pell's equation, a

test for the Pythagorean theorem, shows that the division of zero is infinite, calculate ?? to 5 Decimal points and calculates the time taken for the earth to orbit the sun at 9 decimals. 1130 - AL-SAMAWAL gave a definition of algebra: "[care] with operations on unknowns using all arithmetic instruments, in the same way as the adithmetic operates on

the known." [11] 1135 ? ? ?,? "Sharafeddin Tusi followed the application of algebra to the geometry of al-Khayyam to geometry and wrote a treatise on Cubic that "represents an essential contribution to another algebra that aimed at studying curves through equations, thus opening the beginning of algebraic geometry". [11] [11]Leonardo Fibonacci

demonstrates the Utility of Indu, Arabic numbers in his Liber Abaci (Book of Abaco). 1247 ? € qin jiushao public sh??sh? ?ji? zh? ng (mathematical treatise in nine sections). 1248 ? € "Li Ye writes Ceyuan, a mathematical treatise of 12 volumes containing 170 formulas and 696 problems mostly solved by polynomial equations using the Tian Yuan Shu

method. 1260 ? € "Al-Farisi gave a new test of Thabit Ibn Qurra theorem, introducing important ideas about factorization and combiner methods. He also gave the pair of friendly numbers 17296 and 18416 which were also attributed to Fermat as well as Thabit Ibn Qurra. [12] c. 1250 ? € "Nasir al-Din al-Tusi tries to develop a form of non-euclidea

geometry. 1280 ? € "Guo Shoujing and Wang Xun introduces cubic interpolation. 1303 - Zhu Shijie Public Precious Mirror of the four elements, which contains an ancient method of organizing binomial coefficients in a triangle. XIV century ? € "Madhava is considered the father of the mathematical analysis, which also worked at the series of power for

the functions of ? € and of Sine and Cosene, and together with other mathematicians of the Kerala school, he founded the concepts Important calculation. 14th century ? € "Parameshvara, a mathematician of the Kerala school, presents a serial form of the Sine function that is equivalent to its expansion of the Taylor series, affirms the average theorem

of the value of the differential calculation, and is also the First mathematician to give the ray of circle with cyclic quadrilatero inscribed. XV century 1400 ? € "Madhava discovers the expansion of the series for the reverse-tangent function, the infinite series for Arctan and sin, and many methods to calculate the circle circumference, and use them to

calculate ? € correct to 11 decimal points . c. 1400 ? € "GHIYATH AL-KASHI" contributed to the development of decimal fractions not only to approximate algebraic numbers, but also for real numbers like ? €. Its contribution to decimal fractions is so important that for many years has been considered As their inventor. Even if not the first to do so, AlKashi gave an algorithm for the calculation of NTH roots, which is a special case of the data methods many centuries after [Paolo] Ruffini and [William George] Horner. " It is also the first to use the decimal point notation in arithmetic and Arabic numbers. The works of him include The Key of Arithmetics, Discoveries in Mathematics, The Decimal

Point and the benefits of zero. The contents of the benefits of the zero are an introduction followed by five essays: "On the whole arithmetic number", "on Arithmetic Fractional", "on Astrology", "on areas", and "on the search for unknown [unknown variables ] ". He also wrote the thesis on the synagogue and the agreement and on the thesis on the

discovery of the Sine of First Instance. 15th century ? € ? ibn al-banna and al-qalasadi have introduced the symbolic notation for algebra and mathematics in general. [11] XV century ? € "Nilakantha Somayaji, a school of Writes the Aryabhatiya Bhasya, which contains work on endless series expansions, algebra problems and spherical geometry. 1424

- GHIYATH AL-KASHI calculates ? € to sixteen decimal points using inscribed and circumscribed polygons. 1427 ? € "Al-Kashi completes the key to Arithmetic containing the work of great depth on decimal fractions. He applies arithmetic and algebraic methods to the solution of various problems, including different geometric methods. 1464 RegiMontanus writes De Triangulis OmniModus who is one of the first texts to treat trigonometry as a separate branch of mathematics. 1478 - an anonymous author writes the Arithmetics of Treviso. 1494 ? € "Luca Pacioli writes Summa de Arithmetica, geometry, propoi et proportionality; Introduces primitive symbolic algebra using "CO" (thing) for

the unknown. Modern XVI century 1501 - Nilakantha Somayaji writes TantrasamGraha. 1520 ? € "Iron scipione develops a method to solve" depressed "cubic equations (cubic equations without a term x2), but not public. 1522 ? € "Adam Ries explained the use of Arabic figures and their advantages on Roman numerals. 1535 - Niccol¨° tartaglia

independently develops a method to solve depressed but not public cubic equations. 1539 ? € "Gerolamo Cardano learns the tartaglia method to resolve depressed cubic and discovers a method for cubic depressing, so creating a method to solve all the cubes. 1540 ? € "Lodovico Ferrari solves the quarter equation. 1544 ? € "Michael Stifel Publish

Arithmetica integrates. 1545 ? € "Gerolamo Cardano conceives the idea of ?complex numbers. 1550 ? € ?Jyeshtadeva, a mathematician of the Kerala school, writes the yuktibh? ¨¢? ? ?, the first text of the world's calculation, which gives detailed derivations of many theorems and calculation formulas. 1572 ? € "Rafael Bombelli writes the algebra treaty

and uses imaginary numbers to solve the cubic equations. 1584 - Zhu Zaiyu calculates the same temperament. 1596 - Ludolf van Ceuen calculates ? € to twenty decimals placed using inscribed and circumscribed polygons. XVII century 1614 ? € "John Napier discusses the Japieri logarithms in Mirifers Logarithmorum Canonis descriptio. 1617 - Henry

Briggs discusses the decimal logarithms in Logarithmorum Chilias first. 1618 ? € "John Napier publishes the first references to and in a work on logarithms. 1619 ? € "Ren¨¦ Descartes discovers the analytical geometry (Pierre de Fermat claimed to have discovered it even independently). 1619 ? € "Johannes Kepler discovers two of the Polyhhead

Kepler-Poinsot. 1629 - Pierre de Fermat develops a rudimentary differential calculation. 1634 ? € "Gilles de Roberval shows that the area under a cycle is three times the area of ?its generating circle. 1636 ? € "Muhammad Baqir Yazdi discovered the pair of friendly numbers 9,363,584 and 9.437,056 together with Descartes (1636). [12] 1637 ? Pierre

de Fermat claims to have demonstrated the last Fermat's theorem in his he is a copy of Diophantus's Arithmetic. The first use of the term imaginary number by R¨¦t ? Descartes; It was destined to be derogatory. 1643 ? € "Ren¨¦ Descartes develops the Teorema of Cartesio. 1654 ? € "Blaise Pascal and Pierre de Fermat create the theory of the

probability. 1655 ? € "John Wallis writes Arithmetica Infinitorum. 1658 - Christopher Wren shows that the length of a cycle is four times the diameter of its generating circle. 1665 - Isaac Newton works on the fundamental theorem of the calculation and develops its version of infinitesimal calculation. 1668 - Nicholas Mercator and William Brouncer

discover an infinite series for logarithm while trying to calculate the area under a hyperbolic segment. 1671 ? € "James Gregory develops a series of expansions for the reverse-tangent function (originally discovered by Madhava). 1671 - James Gregory Discover Taylor's theorem. 1673 ? € ?Gottfried Leibniz also develops its infinitesimal calculation

version. 1675 - Isaac Newton invents an algorithm for the calculation of functional roots. 1680 ? € ?Gottfried Leibniz works on symbolic logic. 1683 - Seki Takakazu discovers the resulting and determining. 1683 - Seki Takakazu develops the theory of elimination. 1691 - Gottfried Leibniz discovers the separation technique of variables for ordinary

differential equations. 1693 ? € ?Dmund Halley prepares the first mortality tables statistically related to the mortality rate at the age. 1696 ? € "Guillaume de l'h?'pital declares its rule for the calculation of some limits. 1696 - Jakob Bernoulli and Johann Bernoulli solve the problem of Brachistochrone, the first result of the calculation of variations.

1699 ? € "Abraham Sharp calculates ? € to 72 digits but only 71 are correct. XVIII century 1706 ? € "John Machin develops a reverse series of rapid invertimenti for ? € and calculates ? € to 100 decimal points. 1708 - SEKI TAKAKAZU Discover the Numbers of Bernoulli. Jacob Bernoulli, that the numbers take the name, believed that he has discovered

numbers shortly after Takakazu. 1712 ? € "Brook Taylor develops the Taylor series. 1722 ? € ?Braham de Moivre affirms the Moivre formula that connects trigonometric functions and complex numbers. 1722 - TakeBe Kenko presents Richardson's extrapolation. 1724 - Abraham De Moivre studies the statistics on mortality and the foundation of the

annuities theory in the annuities on the lives. 1730 ? € "James Stirling publishes the differential method. 1733 - Giovanni Gerolamo Saccheri studies as it would be the geometry if the fifth postulate of Euclid was false. 1733 ? € ?Braham de Moivre introduces normal distribution to approximate binomial distribution with probability. 1734 ? €

"Leonhard Euler introduces the technique of the integration factor to solve ordinary first order differential equations. 1735 ? € "Leonhard Euler solves the Basel problem, relative to an infinite series at ? €. 1736 - Leonhard Euler solves the problem of the seven k?nigsberg bridges, actually creating the theory of graphs. 1739 ? € " Euler EulerThe

generally homogeneous linear differential equation with constant coefficients. 1742 ? ? ?,? "Christian Goldbach Conjectures that every number even more than two can be expressed as the sum of two first time, now known as Goldbach's conjecture. 1747 ? ? ?,?" Jean Le Rond d'Alembert solves the Vibrating string problem (one-dimensional wave

equation). [13] 1748 ? ? ?,? "Maria Gaetana Agnesi discusses the analysis in analytical institutions for use of the Italian Youth. 1761 ? ? ?,?" Thomas Bayes demonstrates the Bayes theorem. 1761 ? ? ?,? "Johann Heinrich Lambert shows that ?? ?,? is irrational. 1762 ? ? ?,?" Joseph Louis Lagrange discovers the divergence theorem. 1789 ? ? ?,?

"Jurij Vega improves the formula and calculations of Machin ?? at 140 decimal points, 136 of which were correct. 1794 ? ? ?,?" Jurij Vega publishes the Thesaurus LogaritMorum Completus. 1796 ? ? ?,? "Carl Friedrich Gauss shows that the normal 17-Gon can be built using only a compass and installment. 1796 ? ? ?,?" Adrien-Marie Legendre

Conjectures the first number theorem. 1797 ? ? ?,? "Caspar Wessel associates vectors with complex numbers and study complex numbers operations in geometric terms. 1799 ? ? ?,?" Carl Friedrich Gauss demonstrates the fundamental theorem of algebra (every polynomial equation has a solution between The complex numbers). 1799 ? ? ?,?

"Paolo Ruffini partially demonstrates the Abel - theorem Ruffini that quintic or higher equations cannot be resolved by a general formula. The nineteenth century 1801 - Arithmetica disquisions, the number of theory of the number of Carl Friedrich Gauss It is published in Latin. 1805 ? ? ?,? "Adrien-Marie Legendre introduces the minimum square

method for assembly of a curve to a specific series of observations. 1806 ? ? ?,? "Louis Poinsot discovers the two remaining Polyhedra by Kepler-Poinsot. 1806 ? ? ?,?" Jean-Robert Argand publishes the proof of the fundamental theorem of the algebra and the Argand diagram. 1807 ? ? ?,? "Joseph Fourier announces its discoveries on the

trigonometric decomposition of the functions. 1811 - Carl Friedrich Gauss discusses the meaning of integral with complex limits and briefly examines the addiction from those integral on the chosen path of integration. 1815 ? ? ? ? ? ? ? ? SIM? ? on Denis Poisson carries out additions along the routes in the complex level. 1817 Bernard Bolzano

presents the intermediate value theorem - a continuous function that is negative at a point and positive at another point must be zero for at least one point in between. Bolzano gives a first formal (????, ??'t) -Definity Proof "that the limit of continuous functions is continuous. 1822 ? ? ?,?" Augustin-Louis Cauchy presents the integral Cauchy

theorem for integration around the border of a rectangle in the aircraft complex. 1822 ? ? ?,? "Irisawa shintarar? ? hiroatons analyzes the soddy's east in Sangaku. 1823 ? ? ?,?" Sophie's theorem All-employed nella Second Edition Adrien-Marie legend's is essai's on La Thi0o ? ? Dory Des Tombrres [14] Niels Henrik Abel partly demonstrates the

Abel-Ruffini theorem that the general quintic or higher equations cannot be resolved by a general formula that involves only arithmetic operations and roots. 1825 ¨C Augustin-Louis Cauchy presents the integral theorem of the Cauchy for general integration paths ¨C assumes that the integrated function has a continuous derivative and introduces the

theory of residues in complex analysis. 1825 ¨C Peter Gustav Lejeune Dirichlet and Adrien-Marie Legendre demonstrate the last Theorem of Fermat for n = 5. 1825 ¨C Andr¨¦-Marie Amp¨¨re discovers theorem of Stokes. 1826 ¨C Niels Henrik Abel gives counterexamples to Augustin-Louis Cauchy alleged ¡°try¡± that the punctual limit of continuous functions

is continuous. 1828 - George Green demonstrates the theorem of Green. 1829 ¨C J¨¢nos Bolyai, Gauss and Lobachevsky invent non-euclidea hyperbolic geometry. 1831 - Mikhail Vasilievich Ostrogradsky rediscovers and gives the first proof of the divergent theorem described previously by Lagrange, Gauss and Green. 1832 ¨C ?variste Galois presents a

general condition for the solvency of the algebraic equations, thus founding the theory of the group and the theory of Galois. 1832 ¨C Lejeune Dirichlet demonstrates the last theorem 1837 - Pierre Wantzel demonstrates that double the cube and trisecate the angle are impossible with only a compass and straightening, as well as complete completion of

the problem of regular polygon construction. 1837 ¨C Peter Gustav Lejeune Dirichlet develops the theory of analytical numbers. 1838 ¨C First mention of uniform convergence in a document by Christoph Gudermann; later formalized by Karl Weierstrass. The uniform convergence is necessary to fix Augustin-Louis Cauchy erroneous ¡°proof¡± that the

punctual limit of continuous functions is continuous from the 1821 Cours d¡¯Analyse of the Cauchy. 1841 - Karl Weierstrass discovers but does not publish the expansion theorem Laurent. 1843 ¨C Pierre-Alphonse Laurent discovers and presents the expansion theorem Laurent. 1843 ¨C William Hamilton discovers the calculation of quaternions and

deduces that are not commutative. 1847 - George Boole formalizes symbolic logic in mathematical analysis of logic, defining what is now called Boolean algebra. 1849 ¨C George Gabriel Stokes shows that solitary waves can result from a combination of periodic waves. 1850 ¨C Victor Alexandre Puiseux distinguishes between poles and branch points and

introduces the concept of essential singular points. 1850 ¨C George Gabriel Stokes rediscovers and demonstrates Stokes' theorem. 1854 ¨C Bernhard Riemann presents Riemannian geometry. 1854 - Arthur Cayley shows that quaternions can be used to represent rotations in the three-dimensional space. 1858 ¨C August Ferdinand M?bius invents the

M?bius strip. 1858 ¨C Charles Hermite solves the quinticBy means of elliptical and modular functions. 1859 ? ? ?,? "Bernhard Riemann formulates the hypothesis of Riemann, who has strong implications on the distribution of the first numbers. 1868 ? ? ?,?" Eugenio Beltrami demonstrates the independence of the parallel postulate of Euclid from the

other axioms of Euclidian geometry . 1870 ? ? ?,? "Felix Klein builds an analytical geometry for the geometry of Lobachevski thus establishing its self-consistency and logical independence of the fifth Postulate by Euclid. 1872 ? ? ?,?" Richard Dedekind invents what Now it is called the Dedekind cut to define irrational numbers and now used to

define surreal numbers. 1873 ? ? ? ? "Charles Hermites shows that it is transcendental. 1873 ? ? ? ?" Georg Frobenius presents the method of him to find serial solutions to linear differential equations with regular singular points. 1874 ? ? ?,? "Georg Cantor shows that the set of all real numbers is not infinite but the set of all real algebraic numbers

is numberable. His test does not use his diagonal topic, which he published In 1891. 1882 ? ? ?,? "Ferdinando von Lindemann shows that ?? ?,? is transcendent and therefore the circle cannot be square with a compass and installment. 1882 ? ? ?,? "Felix Klein invents the bottle of Klein. 1895 ? ? ?,?" Diender Korteweg and Gustav de Vries derive

the Korteweg? ? ?,? "de Viries Equation to describe the development of long solitary water waves in a Rectangular cross-sectional channel. 1895 ? ? ?,? "Georg Cantor publishes a book on the theory of the set containing the arithmetic of the infinite cardinal numbers and the hypothesis of the continuum. 1895 ? ? ?,? "Henri Poincar? ? publish"

Situs analysis "card that started modern topology. 1896 ? ? ?,?" Jacques Hadamard and Charles Jean de la Vall?? ? ? E-Poussin show independently of the theorem of the number first. 1896 ? ? ?,? "Hermann Minkowski presents the geometry of numbers. 1899 ? ? ?,?" Georg Cantor discovers a contradiction in his set theory. 1899 ? ? ?,? "David

Hilbert presents a series of self-consistent geometric axiomes in the foundations of geometry. 1900 ? ? ?,?" David Hilbert states its list of 23 problems, which show where further mathematical work is necessary . Contemporary XX century [15] 1901 ? ? ?,? "???? Lie Cartan develops the external derivative. 1901 ? ? ?,? "Henri Lebesgue public about

the integration of Lebesgue. 1903 ? ? ?,? "Carle David Tolm? ? Runge has a quick Fourier transformation algorithm [necessary quote] 1903 ? ? ?,?" Edmund Georg Hermann Landau gives a considerably simpler test than the first number theorem. 1908 ? ? ?,? "Ernst Zermelo axiomya The theory of the set, thus avoiding the contradictions of the

singer. 1908 ? ? ?,?" Josip Plemelj solves the problem of Riemann on the existence of a differential equation with a given monodromic group And use Sokhotsky - PleMelj formulas. 1912 ? ? ?,? "Luitzen Egbertus Jan Brouwer presents the Fixed Point Theorem Brouwer. 1912 - Josip Plemelj publishes a simplified test for Theorem of Fermat for

Exponent N = 5. 1915 ?€ "Noether Emmy demonstrates its symmetry theorem, which shows that every symmetry inIt has a corresponding conservation law. 1916 ? Srinivasa Ramanujan presents the Ramanujan conjecture. This conjecture is then generalized by Hans Petersson. 1919 ? Viggo Brun Brun defines the constant B2 for the first twins. 1921

? Emmy Noether introduces the first general definition of a commutative ring. 1928 ? John von Neumann began to devise the principles of game theory and proves the minimax theorem. 1929 ? Emmy Noether introduces the first general theory of groups and algebras representation. 1930 ? Casimir Kuratowski shows that the problem of the three

cottaggi has no solution. 1930 ? The Church of Alonzo presents the Lambda calculation. 1931 ? Kurt G??del proves his incomplete theorem, which shows that every axiomatic system for mathematics is incomplete or inconsistent. 1931 ? Georges de Rham develops theorems in cohomologia and characteristic classes. 1933 ? Karol Borsuk and

Stanislaw Ulam present the theorem Borsuk-Ulam antipodal-point. 1933 ? Andrey Nikolaevich Kolmogorov published his book Basics of calculating the probability (Grundbegriffe der Wahrscheinlichkeitsrechnung), which contains axiomatization of probability based on measure theory. 1938 ? Tadeusz Banachiewicz presents the LU decomposition.

1940 ? Kurt G??del ? shows that neither the continuum hypothesis nor the axiom of choice ? can be denied by the standards of set theory axiom. 1942 ? G. C. Danielson and Cornelius Lanczos develop a fast Fourier transform algorithm. 1943 ? Kenneth Levenberg proposes a method for the non-linear least square fitting. 1945 ? Stephen Cole Kleene

introduces the feasibility. 1945 ? Saunders Mac Lane and Samuel Eilenberg begin the theory of class. 1945 ? Norman Steenrod and Samuel Eilenberg give the Eilenberg-Steenrod axis (co-) homology. 1946 ? Jean Leray Spectral introduces the sequence. 1948 ? John von Neumann mathematically studies self-reproducing machines. 1948 ? Atle Selberg

and Paul Erda's demonstrated independently in an elementary way the theorem of the first issue. 1949 - John Wrench and LR Smith calculation ? to 2,037 decimal points using ENIAC. 1949 ? Claude Shannon developed the concept of information theory. 1950 ? Stanisa aw Ulam and John von Neumann have dynamic cellular automata systems. 1953 Nicholas Metropolis introduces the idea of ?thermodynamic simulated annealing algorithms. 1955 ? H. Coxeter S. M. et al. publish the list of the uniform polyhedron. 1955 ? Enrico Fermi, John Pasta, Stanisa aw Ulam, and Mary Tsingou numerically study a nonlinear model of heat conduction and discover the behavior of the solitary wave type. 1956 Noam Chomsky describes one of the official hierarchy. 1956 ? John Milnor discovers the existence of an exotic sphere in seven dimensions, opening the field of differential topology. 1957 ? Kiyosi It?' develops It?' calculation. 1957 ? Stephen Smale provides evidence for of sphere free from the fold. 1958 ¨CThe Grothendieck test of the Teorem

Groothendieck-Riemann-Roch is published. 1959 - Kenkichi Iwasawa creates Iwasawa theory. 1960 ? € ? C. A. R. Hoare invents the Algorithm of Fastsort. 1960 - Irving S. Reed and Gustave Solomon have the correction code of Reed? € "Solomon errors. 1961 ? € "Daniel Shanks and John Wrench compute ? € to 100,000 decimal points using a reverse

identity and an IBM-7090 computer. 1961 - John G. F. Francis and Vera Kublanovskaya independently develop the QR algorithm to calculate the cars and cars of a matrix. 1961 ? € "Stephen Smpale demonstrates the conjecture Poincar? ? for all dimensions upper or equal to 5. 1962 - Donald Marquardt offers the non-linear Levenberg-Marquardt

algorithm of at least squares. 1963 - Paul Cohen uses his forcing technique to demonstrate that nor the continuum hypothesis nor the axiom of choice can be tested by the standard axiom of the set theory. 1963 - Martin Kruskal and Norman Zabusky analytically study the problem of thermal conduction of Fermi? € "Pasta? €" Ulam? € "Tsingou in the

limit of the continuum and find that the KDV equation rules this system. 1963 ? € ?The meteorologist and mathematician Edward Norton Lorenz has published solutions for a simplified mathematical model of atmospheric turbulence ? € "generally known as chaotic behavior and strange attractive or Lorenz Attractor ? €" the butterfly effect. 1965 Iranian Mathematician Lotfi Asker Zadeh founded the Fuzzy theory set as an extension of the classic notion of set and founded the field of fuzzy mathematics. 1965 - Martin Kruskal and Norman Zabusky numerically study solitary waves collision in plasma and find that they do not disperse after collisions. 1965 - James Cooley and John Tukey present

an influential Fourier fast transformation algorithm. 1966 - E. J. Putzer has two methods to calculate the expansion of a matrix in terms of polynomial in that matrix. 1966 ? € ?Braham Robinson has a non-standard analysis. 1967 ? € "Robert Langlands formulates the influential Langlands program of conjectures related theory of numbers and theory

of representation. 1968 - Michael Atiyah and Isadore Singer feel the Atyah-singer index theorem on the index of elliptical operators. 1973 ? € "Lotfi Zadeh founded the Fuzzy logic field. 1974 - Pierre Deligne solves the last and deeper than the Weil conjectures, completing the Grothendieck program. 1975 ? € "Beno??t Mandelbrot publishes Les

Objets Fractals, shapes, Hasard et dimension. 1976 - Kenneth Appel and Wolfgang Haken use a computer to demonstrate the four-color theorem. 1981 - Richard Feynman gives an influential speech "Simulate physics with computers" (in 1980 Yuri Manin proposed the same idea of ?quantum calculations in "Computable and uncomputable" (in

Russian)). 1983 ? € "Gerd falings demonstrates Mordell conjecture and shows so that there are only a few complete solutions for each exponent of the last of Fermat 1985 ?€ "Louis de Brans de Bourcia demonstrates the conjecture of Bieberbach. 1986 ?€ "Ken Ribet demonstrates Ribet's theorem. 1987 ?€ "Yasumasa Kanada, David Bailey, Jonathan

Borwein, and Peter Borwein use approximations of modular iterative equations to elliptical integrals and a supercomputer NEC SX-2 to calculate decial places 1991 ? € "Alain Connes and John W. Lott develop non-commutative geometry. 1992 - David Deutsch and Richard Jozsa develop the Deutsch?€ "Algoritmo Jozsa, one of the first examples of a

quantum algorithm that is exponentially faster than any possible classical deterministic algorithm. 1994 ?€ "Andrew Wiles demonstrates part of the taniyama" Shimura's Balance and thus demonstrates the latest Fermat theorem. 1994 ?€ "Peter Shor formulates the Shor algorithm, a quantum algorithm for the whole factorization. 1995 ?€ "Simon

Plouffe discovers Bailey" Borwein?€ "Formula Ploufe able to find the new binary figure of ? €. 1998 ?€ "Thomas Calister Hales (almost certainly) demonstrates the conjecture of Kepler. 1999 ?€ "The Full Taniyama?€" Shimura's guess is shown. 2000 ? € "The Clay Mathematics Institute proposes the seven issues of the Millennium Award of important

classical mathematical questions. 21st century 2002 ?€ "Manindra Agrawal, Nitin Saxena, and Neeraj Kayal of IIT Kanpur present an unconditional deterministic polynomial time algorithm to determine if a given number is Prime (the AKS Primal Test). 2002 ? € "Preda Mih? `ilescu demonstrates Catalan conjecture. 2003 ? € "Grigori Perelman

demonstrates the Poincar¨¦ Consecution. 2004 ? € "The classification of simple finite groups, a collaborative work involving hundreds of mathematicians and the fifty-year pair is completed. 2004 ?€ "Ben Green and Terence Tao demonstrate the Tao Green T¨¨rema. 2007 ?€ "A team of researchers across North America and Europe use computer

networks to map E8. [16] 2009 ?€ "Fondamental Lemma (Langlands Program) is demonstrated by NG?'' B¨¢o ? or Ch? ? u. [17] 2010 ?€ "Larry Guth and Nets Hawk Katz solve the distances of Erd?. 2013 ?€ "Yitang Zhang demonstrates the first limit on craps among the first numbers. [18] 2014 ?€ "Project Flyspeck [19] announces that it completed a

Keplero design test. [20] [21] [22] [23] 2015 ?€ "Terence Tao solves the problem of discrepancy of Erd?s 2015 ?€" L??szl?3 Babai finds that an algorithm of quasihypolynomial complexity would solve the graph Isonorfism Problema See also ? The history of the mathematical notation portal explains the rhetoric, sympathetic and symbolic Ancient

Greek mathematics - Timeline and summarizes of ancient Greek mathematicians and their history of discoveries of references of mathematical logic ^ Art preistory, Sean Henahan, 10 January 2002. Archived 19 July 2008, at the machine for the machine ^ Like menstruationmath, tacoma Community College, (archive connection). ^ "The oldest

mathematical object is in Swaziland". Retrieved 15 March 2015. "An old mathematical object." mathematician."15 March 2015. ^ a b "Egyptian Mathematical Papiri - Mathematics of the African Diaspora". Retrieved 15 March 2015. ^ Carl B. Boyer, a story of mathematics, 2nd ed. ^ Corsi, Pietro; Windial, Paul (1983). Sources of information in the

history of science and medicine. Butterworth Scienti?c. ISBN? 9780408107648. Retrieved 6 July 2014. Victor J. Katz (1998). History of mathematics: an introduction, p. 255 ? € "259. Addison-Wesley. Isbn 0-321-01618-1. F. Woepcke (1853). Extrait du Fakhri, Trait? ?'alg? ?bre par abou bekr mohammed ben alhacan alkarkhi. Paris. "O'Connor, John J.;

Robertson, Edmund F., "Abu L'hasan Ali Ibn Ahmad al-Nasawi", MAcTutor History of Mathematics Archive, University of St Andrews "ABC Arabic Mathematics, MAcTutor History of the Mathematics Archive, University of St Andrews, Scotland" Ab Vari AP Elenches and Statistics Archived on 28 July 2012 ^ Paul BenacerRaf and Hilary Putnam,

Cambridge University Press, Philosophy of Mathematics: Elizabeth A. Thompson, MIT News office, Math Research Team Maps E8 Mathematicians Map E8, Harminka, 2007-03-20 Laumon, G.; NG?'''Ancolare, B. C. (2004), Lemme Fondamental Pours Les Grous Unitaires, ARXIV: mathematics / 0404454, Bibcode: 2004math University of New

Hampshire. 1 May 2013. Recovery on 20 May 2013. ^ Complete announcement. Flyspeck project, Google code. ^ The team announces the construction of a formal test verified by the Keplero conjecture computer. August 13, 2014 by Bob Yirk. ^ Test confirmed by a 400-year fruit stacking problem, on August 12, 2014; New scientist. ^ A formal proof

of Keplero's conjecture, ARXIV. ^ Fixed: the 400-year mathematical theory finally proved. Sky News, 16:39, United Kingdom, Tuesday 12 August 2014. David Eugene Smith, 1929 and 1959, a source book in mathematics, Publications of Dover. ISBN? 0-486-64690-4. O'Connor, John J.; Robertson, Edmund F., "A mathematical history", MAcTutor

History of Mathematics Archive, University of St Andrews recovered from " "HTTPS: //en.wikipedia

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