Ashwin Muralidharan IIT Madras
Last Activity: 13 Years ago
Hi Jaskaran,
Maths olympiad is a very good exam. You should buy some very good Maths books and start solving it.
The list of books is here:
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.
- Istvan Reiman, International Mathematical Olympiad, Vol I, 1959-1975, Anthem Press (Indian Edition available).
- Istvan Reiman, International Mathematical Olympiad, Vol II, 1976-1990, Anthem Press (Indian Edition available).
- Istvan Reiman, International Mathematical Olympiad, Vol III, 1991-2004, Anthem Press (Indian Edition available).
- D. Fomin, S. Genkin & I. Itenberg, Mathematical Circles, First Reprinted Edition, University Press, New Delhi, 2000.
- 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 II
Stage, Bangalore 560 070. or 49, Sardar Sankar Road, Kolkata 700029. Phone: 24633890/24633944.
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....
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GEOMETRY
- Durrel 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.
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NUMBER THEORY
- I. 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.
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PROBLEM BOOKS
- I M O Problem Collections
- S. L. Greitzer, International Mathematical Olympiad 1959-1977, MAA.
- M. S. Klamkin, International Mathematical Olympiad 1978-1985, MAA.
- General
- M. 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.
- General Reading
- S. Barnard & J.M. Child, Higher Algebra, Macmillan & Co., London, 1939; reprinted Surjeet Publishers, Delhi, 1990
- W. S Burnside & A.W. Panton, The Theory of Equations, Vol. 1 (13th Edition), S. Chand & Co., New Delhi, 1990
- D. M. Burton, Elementary Number Theory, Second Edition, Universal Book Stall, New Delhi, 1991
- RA. Brualdi, Introductory Combinatorics, Elsevier, North-Holland, New York, 1977
- H.S.M. Coxeter & S.L. Greitzer, Geometry Revisited, New Mathematical Library 19, The Mathematical Association of America, New York, 1967
- C.V. Durell, Modern Geometry, Macmillan & Co., London, 1961
- H.S. Hall & S.R Knight, Higher Algebra, Macmillan & Co., London; Metric Edition, New Delhi, 1983
- R Honsberger, Mathematical Gems, Part I (1973), Part II (1976), Part III (1985), The Mathematical Association of America, New York
- N.D. Kazarinoff, Geometric Inequalities, New Mathematical Library 4, Random House and The L.W. Singer Co., New York, 1961
- P.P. Korovkin, Inequalities, Little Mathematics Library, MIR Publishers, Moscow, 1975
- I. Niven, H.S. Zuckerman & H.L. Montgomery, An Introduction to the Theory of Numbers, Fifth Edition, Wiley Eastern, New Delhi, 2000
- A.W. Tucker, Applied Combinatorics, Second Edition, John Wiley & Sons, New York, 1984
- G.N. Yakovlev, High School Mathematics, Part II, MIR Publishers, Moscow, 1984
Orders for the books can also be placed at SARASWATI PUSTAKALAYA, 138/1 GOPAL LAL THAKUR ROAD, Kolkata 700 108. Tel: 2577-1415.
These are the entire list of the books available. You can buy one from each category and start reading if you are serious.
Best Regards,
Ashwin (IIT Madras).