Olympiad Books & References There are many books that can help students to prepare for Olympiad examinations. examinations. We indicate here a few of them. 1. Problem Primer for the Olympiads C.R. Pranesachar, B.J. Venkatachala and C.S. Yogananda (Prism (Pri sm Books Pvt. Ltd., Bangalore, 2008)
2. Challenge and Thrill of Pre-College mathematics V. Krishnamurthy, C.R. Pranesachar, K.N. Ranganathan and B.J. Venkatachala (New Age International Publishers,
New Delhi - 2007).
3. An Excursion in Mathematics Editors: M. R. Modak, S.A. Katre and V.V. Acharya (Bhaskaracharya Pratishthana, Pune, 2008).
4. Problem Solving Strategies Arthur Engel (Springer-Verlag, Germany, 1999).
5. Functional Equations B.J. Venkatachala (Prism Books Pvt. Ltd., Bangalore, 2008).
6. Mathematical Circles: Russian Experience Fomin and others (University Press, Hyderabad, 2008).
Many other interesting references are given in An Excursion in Mathematics.
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. Challenges from the Yogananda, Mathematical Olympiads, Prism Books Pvt. Ltd. (Contains problems and solutions of International Mathematical Olympiad from 19861994). 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....
GEOMETRY
1. Durrel M. A., Modern Geometry, Macmillan & Co., London. 2. H. S. M. Coxeter and S. L. Greitzer, Geometry Revisited, Mathematical Association of America. 3. S. L. Loney, Plane Trigonometry, Macmillan & Co., London.
NUMBER THEORY 1. I. Niven & H. S. Zuckerman, An Introduction to the Theory of Numbers, Wiley Eastern Ltd. New Delhi. 2. David Burton, Elementary Number Theory, Universal Book Stall, New Delhi. 3. G. H. Hardy & Wright, An introduction to the theory of numbers, Oxford University Publishers. PROBLEM BOOKS I M O Problem Collections 1. S. L. Greitzer, International Mathematical Olympiad 1959-1977 , MAA. 2. M. S. Klamkin, International Mathematical Olympiad 1978-1985, MAA. General 1. M. S. Klamkin, USA Mathematical Olympiads 19721985, MAA. 2. D. O. Shklyarshky, N. N. Chensov and I. M. Yaglom, Selected problems and Theorems in Elementary Mathematics. 3. W. Sierpenski, 250 Problems in Elementary Number Theory, American Elsevier. 4. I. R. Sharygin, Problems in Plane Geometry, MIR Publishers. o
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General Reading 1. S. Barnard & J.M. Child, Higher Algebra, Macmillan & Co., London, 1939; reprinted Surjeet Publishers, Delhi, 1990 2. W. S Burnside & A.W. Panton, The Theory of Equations, Vol. 1 (13th Edition), S. Chand & Co., New Delhi, 1990 3. D. M. Burton, Elementary Number Theory, Second Edition, Universal Book Stall, New Delhi, 1991 4. RA. Brualdi, Introductory Combinatorics, Elsevier, NorthHolland, New York, 1977
5. H.S.M. Coxeter & S.L. Greitzer, Geometry Revisited, New Mathematical Library 19, The Mathematical Association of America, New York, 1967 6. C.V. Durell, Modern Geometry, Macmillan & Co., London, 1961 7. H.S. Hall & S.R Knight, Higher Algebra, Macmillan & Co., London; Metric Edition, New Delhi, 1983 8. R Honsberger, Mathematical Gems, Part I (1973), Part II (1976), Part III (1985), The Mathematical Association of America, New York 9. N.D. Kazarinoff, Geometric Inequalities, New Mathematical Library 4, Random House and The L.W. Singer Co., New York, 1961 10.P.P. Korovkin, Inequalities, Little Mathematics Library, MIR Publishers, Moscow, 1975 11.I. Niven, H.S. Zuckerman & H.L. Montgomery, An Introduction to the Theory of Numbers, Fifth Edition, Wiley Eastern, New Delhi, 2000 12.A.W. Tucker, Applied Combinatorics, Second Edition, John Wiley & Sons, New York, 1984 13.G.N. Yakovlev, High School Mathematics, Part II, MIR Publishers, Moscow, 1984
Books and References Recommended Books
1. An Excursion in Mathematics: Ed. M. R. Modak, S. A. Katre, V. V.Acharya, Bhaskaracharya Pratishthana, Pune.
2. Challenge and Thrill of Pre-College Mathematics: V. Krishnamurthy, C. R. Pranesachar, K. N. Ranganathan, New Age International Publications. 3. Problem Primer for the Olympiad, C. R. Pranesachar and others, Interline Publishing Pvt. Ltd. Reference books
1. Introduction to the Theory of Numbers: Niven and Zuckerman (Wiley). 2. Elementary Number Theory: David Burton (UBS). 3. Higher Algebra: Hall and Knight (Macmillan). 4. Higher Algebra: Barnard and Child (Macmillan). 5. Combinatorics: V. K. Balakrishnan (Schaum's Series). 6. Applied Combinatorics: A. Tucker (Wiley). 7. Techniques of Problem Solving: S. G. Krantz (Univ. Press). 8. Mathematical Circles : Dmitri Fomin and others (University Press).
The last book 'Mathematical Circles' is strongly recommended as it contains typical Olympiad type problems.
