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Look Inside Collected Papers of Srinivasa Ramanujan

Collected Papers of Srinivasa Ramanujan

$53.99 (R)

P. V. Seshu, R. Bamachaundra Rao, G. H. Hardy
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  • Date Published: December 2015
  • availability: Available
  • format: Paperback
  • isbn: 9781107536517

$ 53.99 (R)

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About the Authors
  • Originally published in 1927, this book presents the collected papers of the renowned Indian mathematician Srinivasa Ramanujan (1887–1920), with editorial contributions from G. H. Hardy (1877–1947). Detailed notes are incorporated throughout and appendices are also included. This book will be of value to anyone with an interest in the works of Ramanujan and the history of mathematics.

    Reviews & endorsements

    "[The book] is introduced by a pair of notes which are sources of wonderful information about Ramanujan in their own right, both as regards his life and his mathematics. After that it is all about his mathematics: thirty-seven articles on number theory, infinite series, integrals, and combinatorics. It is all stunning, both by virtue of the content of these articles and because of the idiosyncrasy of their author."
    Michael Berg, MAA Reviews

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    Product details

    • Date Published: December 2015
    • format: Paperback
    • isbn: 9781107536517
    • length: 392 pages
    • dimensions: 254 x 179 x 20 mm
    • weight: 0.77kg
    • availability: Available
  • Table of Contents

    Notice P. V. Seshu and R. Bamachaundra Rao
    Notice G. H. Hardy
    Part I. Papers:
    1. Some properties of Bernoulli's numbers
    2. On question 330 of Prof. Sanjana
    3. Note on a set of simultaneous equations
    4. Irregular numbers
    5. Squaring the circle
    6. Modular equations and approximations to π
    7. On the integral [...]
    8. On the number of divisors of a number
    9. On the sum of the square roots of the first n natural numbers
    10. On the product [...]
    11. Some definite integrals
    12. Some definite integrals connected with Gauss's sums
    13. Summation of a certain series
    14. New expression for Riemann's functions [...]
    15. Highly composite numbers
    16. On certain infinite series
    17. Some formulae in the analytic theory of numbers
    18. On certain arithmetical functions
    19. A series of Euler's constant y
    20. On the expression of a number in the form of ax2+by2+cz2+du2
    21. On certain trigonometrical sums and their applications in the theory of numbers
    22. Some definite integrals
    23. Some definite integrals
    24. A proof of Bertrand's postulate
    25. Some properties of p (n), the number of partitions of n
    26. Proof of certain identities in combinatory analysis
    27. A class of definite integrals
    28. Congruence properties of partitions
    29. Algebraic relations between certain infinite products
    30. Congruence properties of partitions
    29. Algebraic relations between certain infinite products
    30. Congruence properties of partitions
    Part II. Papers Written in Collaboration with G. H. Hardy:
    31. Une formule asymptotique pour le nombre des partitions de n
    32. Proof that almost all numbers n are composed of about log log n prime factors
    33. Asymptotic formulae in combinatory analysis
    34. Asymptotic formulae for the distribution of integers of various types
    35. The normal number of prime factors of a number n
    36. Asymptotic formulae in combinatory analysis
    37. On the coefficients in the expansions of certain modular functions
    Questions and solutions
    Appendix 1. Notes on the papers
    Appendix 2. Further extracts from Ramanujan's letters to G. H. Hardy.

  • Author

    Srinivasa Ramanujan


    G. H. Hardy

    P. V. Seshu Aiyar

    B. M. Wilson


    P. V. Seshu, R. Bamachaundra Rao, G. H. Hardy

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