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RMO Books reference :The following book treats the topics which are covered in the olympiads and also is a rich source of problems; (highly recommended)V. Krishnamurthy, C. R. Pranesachar, K. N. Ranganathan and B. J. Venkatachala, Challenge and Thrill of Pre-College Mathematics, New Age International Publishers.C. R. Pranesachar, S. A. Shirali, B. J. Venkatachala, and C. S. Yogananda,?Mathematical Challenges from the Olympiads,?Prism Books Pvt. Ltd. (Contains problems and solutions of International Mathematical Olympiad from 1986-1994).C. R. Pranesachar, B. J. Venkatachala, and C. S. Yogananda,?Problem Primer for the Olympiad,?Prism Books Pvt. Ltd., #1865, 32nd. Cross, BSK II Stage, Bangalore 560 070. or 49, Sardar Sankar Road, Kolkata 700029. Phone: 24633890/24633944.M. R. Modak, S. A. Katre, V. V. Acharya,?An Excursion in Mathematics,?Bhaskaracharya Pratisthan, 56/14 Erandavane, Damle Path, Pune 411 004.?The books listed below form the recommended reading for the various math competitions. Some are elementary, and some are not so elementary. As far as possible there are indicators to the type of the book but, of course, these can only be indicators....?GEOMETRYDurrel M. A., Modern Geometry, Macmillan & Co., London.H. S. M. Coxeter and S. L. Greitzer, Geometry Revisited, Mathematical Association of America.?S. L. Loney, Plane Trigonometry, Macmillan & Co., London.NUMBER THEORYI. Niven & H. S. Zuckerman, An Introduction to the Theory of Numbers, Wiley Eastern Ltd. New Delhi.David Burton, Elementary Number Theory, Universal Book Stall, New Delhi.G. H. Hardy & Wright, An introduction to the theory of numbers, Oxford University Publishers.PROBLEM BOOKSI M O Problem CollectionsS. L. Greitzer, International Mathematical Olympiad 1959-1977, MAA.M. S. Klamkin, International Mathematical Olympiad 1978-1985, MAA.GeneralM. S. Klamkin, USA Mathematical Olympiads 1972-1985, MAA.D. O. Shklyarshky, N. N. Chensov and I. M. Yaglom, Selected problems and Theorems in Elementary Mathematics.W. Sierpenski, 250 Problems in Elementary Number Theory, American Elsevier.I. R. Sharygin, Problems in Plane Geometry, MIR Publishers.?JOURNALSSamasya, journal devoted to problem solving, published by Leelavati Trust, Bangalore.Bona Mathematica, published by Bhaskaracharya Prathistana, Pune.General Reading?Arthur Engel, Problem-Solving Strategies, Springer.S. A. Shirali, A Primer On Number Sequences, University Press.S. A. Shirali, First Steps In Number Theory--- A Primer On Divisibility, University Press.B. J. Venkatachala, Functional Equations---A Problem Solving Approach, Prism Books Pvt. Ltd., #1865, 32nd. Cross, BSK IIStage, Bangalore 560 070. or 49, Sardar Sankar Road, Kolkata 700029. Phone: 24633890/24633944.S. Barnard & J.M. Child, Higher Algebra, Macmillan & Co., London, 1939; reprinted Surjeet Publishers, Delhi, 1990W. S Burnside & A.W. Panton, The Theory of Equations, Vol. 1 (13th Edition), S. Chand & Co., New Delhi, 1990D. M. Burton, Elementary Number Theory, Second Edition, Universal Book Stall, New Delhi, 1991RA. Brualdi, Introductory Combinatorics, Elsevier, North-Holland, New York, 1977H.S.M. Coxeter & S.L. Greitzer, Geometry Revisited, New Mathematical Library 19, The Mathematical Association of America, New York, 1967C.V. Durell, Modern Geometry, Macmillan & Co., London, 1961D. Fomin, S. Genkin & 1. Itenberg, Mathematical Circles, First Reprinted Edition, University Press, New Delhi, 2000H.S. Hall & S.R Knight, Higher Algebra, Macmillan & Co., London; Metric Edition, New Delhi, 1983R Honsberger, Mathematical Gems, Part I (1973), Part II (1976), Part III (1985), The Mathematical Association of America, New YorkN.D. Kazarinoff, Geometric Inequalities, New Mathematical Library 4, Random House and The L.W. Singer Co., New York, 1961P.P. Korovkin, Inequalities, Little Mathematics Library, MIR Publishers, Moscow, 1975I. Niven, H.S. Zuckerman & H.L. Montgomery, An Introduction to the Theory of Numbers, Fifth Edition, Wiley Eastern, New Delhi, 2000A.W. Tucker, Applied Combinatorics, Second Edition, John Wiley & Sons, New York, 1984G.N. Yakovlev, High School Mathematics, Part II, MIR Publishers, Moscow, 1984LIST OF BOOKS FOR MATH. OLYMPIADS:Short list:1. Problem primer for olympiads: C.R. Pranesachar, B J Venkatachala and C SYogananda (Prism Books Pvt Ltd, Jayangar, Bangalore)2. Challenge and thrill of pre-college mathematics: V. Krishnamurthy,?C RPranseachar, K N Ranganathan and B. J. Venkatachala (New age internationalpublishers, New Delhi)3. An Excursion in Mathematics, Ed. M R Modak, S A Katre and V V Acharya(Bhaskaracharya Pratishthana, Pune)4. Functional Equations, B J Venkatachala (Prism Books Pvt Ltd, Jayanagar,Bangalore)5. Mathematical Circles: Russian Experience (University Press, Hyderabad).Long list:1. Klamkin, M.S. U.S.A. Maths Olympiad, 1972 - 19862. Yaglom, I.M. The USSR Olympiad Problem Book (Dover)3. Sierpenski. W 250 Problems in Elementary Number Theory (Elsevier)4. Niven & Zukerman An Introduction to the theory of Numbers (Wiley)5. Coxeter, H.S.M. Geometry Revisited (MAA)6. Larson, L.C. Problem Solving through Problems (Springer)7. Bottema. O. Geometric Inequalities (MAA)8. V. Krishnamoorthy etal. Challenges and thrill of Precollege Mathematics (New Age Publ.)9. Pranesachar C.R. Mathematical challenges from Olympiads. (Interline Publ)10. Lozansky E., Rousseau, C Winning Solutions (Springer)11. M.K. Singal, A.R. Singal Olympiad Mathematics (Pitambar Publ.)12. S.A. Katre An excursion in Mathematics13. V. Seshan Mastering Olympiad Mathematics (Frank Brothers)14. Engel A. Problem Solving Strategies (Springer)15. Shirali S. A First steps in Number Theory (Universities Press)16. Shirali S.A. Adventures in Problem Solving ,, ,,17. Steven G. Krantz Techniques of Problem Solving ,, ,,18. Titu Andreescu & Mathematical Olympiad Challenges Razvan Gelca; (Universities Press)19. Burton Elementary Number Theory (UBS)20. Venkatachala B. J. Functional Equations. A problem solving approach21. Durrell C. V. Geometry22. Bonnie Averback and Problem solving through recreational Mathematics Oria Chein (Dover)23. Alfred Posamentiar Challenging Problems in Geometry (Dover) and Charles T. Salkind24. Beiler A.H. Recreations in the theory of numbers (Dover)25. A Gardiner The Mathematical Olympiad Hand book OUP (2000)26. T. Andreesan Mathematical Olympiad Challenges R. Gelca Birkhauser (2000)27. S. Muralidharan Gems from the Mathematics Teacher, AMTI (1997) G.R. Vijayakumar28. V.K. Krishnan (Ed.) Non-routine problems in Mathematics, AMTI (2000)29. R. Roy Choudhary 501 Difficult problems in Mathematics, BM Pub (2000)30. T. Andreescu Mathematical Olympiad Treasures, Birkhauser (2004)31. Bernard and Child Higher Algebra (Mc Millan)32. Stein haus One Hundred Problems in Elementary Mathematics (Dover)33. Eves H. College Geometry (Narosa) (1995)34. Williams K.S.; Hardy, K The red book of mathematical problems (Dover)35. I. Reiman International Mathematics Olympiad Vol. I-III (Anthem Press) ................
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