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
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
Δεν υπάρχουν σχόλια:
Δημοσίευση σχολίου