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Books for preparation of Mathematical Olympiads

The following books treats the topic which are covered in the different levels of the olympiad and also are a rich source of problems. 

1. Challenge and Thrill of Pre-College Mathematics 

V. Krishnamurthy, C. R. Pranesachar, K. N. Ranganathan and B. J. Venkatachala 

New Age International Publishers

2. Mathematical Challenges from the Olympiads

C. R. Pranesachar, S. A. Shirali, B. J. Venkatachala, and C. S. Yogananda 

Prism Books Pvt. Ltd.

3. Problem Primer for the Olympiad 

C. R. Pranesachar, B. J. Venkatachala, and C. S. Yogananda 

Prism Books Pvt. Ltd., #1865, 32nd. Cross, BSK II Stage, Bangalore 560 070. or 49, SardarSankar Road, Kolkata 700029. Phone: 24633890/24633944.

4, An Excursion in Mathematics 

M. R. Modak, S. A. Katre, V. V. Acharya 

BhaskaracharyaPratisthan, 56/14 Erandavane, Damle Path, Pune 411 004

5. International Mathematical Olympiad, Vol I, 1959-1975 

IstvanReiman 

Anthem Press (Indian Edition available)

6. International Mathematical Olympiad, Vol II, 1976-1990 

IstvanReiman

Anthem Press (Indian Edition available)

7. International Mathematical Olympiad, Vol III, 1991-2004 

IstvanReiman 

Anthem Press (Indian Edition available)

8. Mathematical Circles 

D. Fomin, S. Genkin& I. Itenberg 

First Reprinted Edition, University Press, New Delhi, 2000

9. Problem-Solving Strategies 

Arthur Engel 

Springer

10. A Primer On Number Sequences 

S. A. Shirali 

University Press

11. First Steps In Number Theory--- A Primer On Divisibility 

S. A. Shirali 

University Press

12. Functional Equations---A Problem Solving Approach 

B. J. Venkatachala 

Prism Books Pvt. Ltd

Books on Geometry

1. Modern Geometry 

Durrel M. A., 

Macmillan & Co., London

2. Geometry Revisited 

H. S. M. Coxeter and S. L. Greitzer 

Mathematical Association of America

3. Plane Trigonometry 

S. L. Loney 

Macmillan & Co., London

Books on Number Theory

1. An Introduction to the Theory of Numbers 

I. Niven& H. S. Zuckerman 

Wiley Eastern Ltd. New Delhi

2. Elementary Number Theory 

David Burton 

Universal Book Stall, New Delhi

3. An introduction to the theory of numbers 

G. H. Hardy & Wright 

Oxford University Publishers

Problem Books - I. M. O Problem Collections

1. International Mathematical Olympiad 1959-1977 

S. L. Greitzer 

MAA Pubications

2. International Mathematical Olympiad 1978-1985 

M. S. Klamkin 

MAA Pubications

General Problems

1. USA Mathematical Olympiads 1972-1985 

M. S. Klamkin 

MAA Pubications

2. Selected problems and Theorems in Elementary Mathematics 

D. O. Shklyarshky, N. N. Chensov and I. M. Yaglom 

3. 250 Problems in Elementary Number Theory 

W. Sierpenski 

American Elsevier

4. Problems in Plane Geometry 

I. R. Sharygin 

MIR Publishers

Books for General Reading 

1. Higher Algebra 

S. Barnard & J.M. Child 

Macmillan & Co., London, 1939; reprinted Surjeet Publishers, Delhi, 1990

2. The Theory of Equations, Vol. 1 (13th Edition) 

W. S Burnside & A.W. Panton 

S. Chand & Co., New Delhi, 1990

3. Elementary Number Theory, Second Edition 

D. M. Burton 

Universal Book Stall, New Delhi, 1991

4. Introductory Combinatorics 

RA. Brualdi 

Elsevier, North-Holland, New York, 1977

5. Geometry Revisited 

H.S.M. Coxeter& S.L. Greitzer 

New Mathematical Library 19, The Mathematical Association of America, New York, 1967

6. Modern Geometry 

C.V. Durell 

Macmillan & Co., London, 1961

7. Higher Algebra 

H.S. Hall & S.R Knight 

Macmillan & Co., London; Metric Edition, New Delhi, 1983

8. Mathematical Gems Part I (1973), Part II (1976), Part III (1985) 

R Honsberger 

The Mathematical Association of America, New York

9. Geometric Inequalities 

N.D. Kazarinoff 

New Mathematical Library 4, Random House and The L.W. Singer Co., New York, 1961

10. Inequalities 

P.P. Korovkin 

Little Mathematics Library, MIR Publishers, Moscow, 1975

11. An Introduction to the Theory of Numbers 

I. Niven, H.S. Zuckerman & H.L. Montgomery 

Fifth Edition, Wiley Eastern, New Delhi, 2000

12. Applied Combinatorics 

A.W. Tucker 

Second Edition, John Wiley & Sons, New York, 1984

13. High School MathematicsPart II 

G.N. Yakovlev 

MIR Publishers, Moscow, 1984