Aryan Classes

Managing Director: Mr. Rajeev Chaudhary (B.Tech.: IIT Kharagpur)

ANGO - gk olympiad ANMO- maths olympiad ANSO- science olympiad ANCO- cyber olympiad ANBQ- business quiz NSEJS- junior science olympiad NSEAJr- junior astronomy olympiad NSEC- chemistry olympiad NSEB-biology olympiad RMO-maths olympiad NSEP-physics olympiad NSEASr-senior astronomy olympiad



RMO Books

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....

    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.

    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.

    • 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 1972-1985, 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.

    1. Samasya, journal devoted to problem solving, published by Leelavati Trust, Bangalore.
    2. Bona Mathematica, published by Bhaskaracharya Prathistana, Pune.
  • General Reading 
    1. Arthur Engel, Problem-Solving Strategies, Springer.
    2. S. A. Shirali, A Primer On Number Sequences, University Press.
    3. S. A. Shirali, First Steps In Number Theory--- A Primer On Divisibility, University Press.
    4. 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.
    5. S. Barnard & J.M. Child, Higher Algebra, Macmillan & Co., London, 1939; reprinted Surjeet Publishers, Delhi, 1990
    6. W. S Burnside & A.W. Panton, The Theory of Equations, Vol. 1 (13th Edition), S. Chand & Co., New Delhi, 1990
    7. D. M. Burton, Elementary Number Theory, Second Edition, Universal Book Stall, New Delhi, 1991
    8. RA. Brualdi, Introductory Combinatorics, Elsevier, North-Holland, New York, 1977
    9. H.S.M. Coxeter & S.L. Greitzer, Geometry Revisited, New Mathematical Library 19, The Mathematical Association of America, New York, 1967
    10. C.V. Durell, Modern Geometry, Macmillan & Co., London, 1961
    11. D. Fomin, S. Genkin & 1. Itenberg, Mathematical Circles, First Reprinted Edition, University Press, New Delhi, 2000
    12. H.S. Hall & S.R Knight, Higher Algebra, Macmillan & Co., London; Metric Edition, New Delhi, 1983
    13. R Honsberger, Mathematical Gems, Part I (1973), Part II (1976), Part III (1985), The Mathematical Association of America, New York
    14. N.D. Kazarinoff, Geometric Inequalities, New Mathematical Library 4, Random House and The L.W. Singer Co., New York, 1961
    15. P.P. Korovkin, Inequalities, Little Mathematics Library, MIR Publishers, Moscow, 1975
    16. I. Niven, H.S. Zuckerman & H.L. Montgomery, An Introduction to the Theory of Numbers, Fifth Edition, Wiley Eastern, New Delhi, 2000
    17. A.W. Tucker, Applied Combinatorics, Second Edition, John Wiley & Sons, New York, 1984
    18. G.N. Yakovlev, High School Mathematics, Part II, MIR Publishers, Moscow, 1984


Short list:

1. Problem primer for olympiads: C.R. Pranesachar, B J Venkatachala and C S
Yogananda (Prism Books Pvt Ltd, Jayangar, Bangalore)

2. Challenge and thrill of pre-college mathematics: V. Krishnamurthy, C R
Pranseachar, K N Ranganathan and B. J. Venkatachala (New age international
publishers, 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,

5. Mathematical Circles: Russian Experience (University Press, Hyderabad).

Long list:

1. Klamkin, M.S. U.S.A. Maths Olympiad, 1972 - 1986

2. 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 Mathematics

13. 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 approach

21. Durrell C. V. Geometry

22. Bonnie Averback and Problem solving through recreational Mathematics Oria Chein (Dover)

23. Alfred Posamentiar Challenging Problems in Geometry (Dover) and Charles T. Salkind

24. 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. Vijayakumar

28. 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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