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The Mathematical Legacy of Srinivasa Ramanujan

Authors: Murty, M. Ram, Murty, V. Kumar

  • Gives a panoramic view of the main contributions of Srinivasa Ramanujan
  • Presents a major theme of Ramanujan's work in non-technical language
  • Provides an excellent introduction to Ramanujan's life and work
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eBook 95,19 €
price for Spain (gross)
  • ISBN 978-81-322-0770-2
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Hardcover 119,59 €
price for Spain (gross)
  • ISBN 978-81-322-0769-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 119,59 €
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  • ISBN 978-81-322-1743-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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About this book

Srinivasa Ramanujan was a mathematician brilliant beyond comparison who inspired many great mathematicians. There is extensive literature available on the work of Ramanujan. But what is missing in the literature is an analysis that would place his mathematics in context and interpret it in terms of modern developments. The 12 lectures by Hardy, delivered in 1936, served this purpose at the time they were given. This book presents Ramanujan’s essential mathematical contributions and gives an informal account of some of the major developments that emanated from his work in the 20th and 21st centuries. It contends that his work still has an impact on many different fields of mathematical research. This book examines some of these themes in the landscape of 21st-century mathematics. These essays, based on the lectures given by the authors focus on a subset of Ramanujan’s significant papers and show how these papers shaped the course of modern mathematics.

About the authors

M. Ram Murty is head of the Department of Mathematics and Statistics at Queen's University, and is a Queen's research chair in mathematics. He is also professor of philosophy at Queen's. He was elected a fellow of the Royal Society of Canada in 1990, the Indian National Science Academy in 2008, and won the Coxeter–James Prize, Jeffery–Williams Prize, E.W.R. Steacie Fellowship, and the Killam Fellowship. His research areas include number theory, modular forms, elliptic curves, and sieve theory. His book Non-vanishing of L-functions and Applications, coauthored by his brother V. Kumar Murty, won the 1996 Balaguer Prize and was published by Birkhauser. In addition, Ram is adjunct professor at McGill University; TIFR; IMSc; CMI; IIT Bombay; IISER, West Bengal; Vivekananda University; and Harish Chandra Research Institute, Uttar Pradesh.

V. Kumar Murty is head of the Department of Mathematics at the University of Toronto. His research areas include number theory, arithmetic geometry, and their applications. He was awarded the Coxeter-James Prize of the Canadian Mathematical Society in 1991, the E. W. R. Steacie Fellowship of NSERC in 1995, and the Inventor of the Year Award of the University of Toronto in 2011. He was elected a fellow of the Royal Society of Canada in 1995 and a fellow of the National Academy of Sciences in 2011. He served as editor-in-chief of the Journal of the Ramanujan Mathematical Society, and as editor of the Transactions of the American Mathematical Society. Moreover, he served on the board of directors of the Canadian Mathematical Society during 1995–1999 and as vice-president of the society during 2009–2011. Kumar Murty received his PhD from Harvard University. He is adjunct professor at TIFR, IMSc, CMI, the Harish-Chandra Research Institute, and Vivekananda University.

Reviews

“This book is based on a number of talks the authors gave at various research institutes. Their aim is to survey some of Srinivasa Ramanujan’s most significant achievements and the developments they have led to over the last decades. … This volume is suitable as a first introduction to some of Ramanujan’s remarkable and deep ideas.” (C. Baxa, Monatshefte für Mathematik, Vo. 180, 2016)

“The authors introduce the reader to the topics through a historical account of the origin and later developments. … We warmly recommend this book for those who would like to have a glimpse on Ramanujan’s mathematics. Without being lost in the technicalities the reader will get a good look at the shape of many central questions.” (Péter Hajnal, Acta Scientiarum Mathematicarum (Szeged), Vol. 80 (1-2), 2014)

“The Murtys’ goal … is to present Ramanujan’s mathematical legacy to a broad audience, and the thrust of the book is a set of eleven chapters discussing exactly that. … the book will utterly charm you, given its accessibility, style, structure, and depth. It’s a great pleasure to read, and it’s fine scholarship.” (Michael Berg, MAA Reviews, December, 2013)

“This book is an outcome of lectures given by both authors in the last quarter century on various aspects of Ramanujan’s work at research institutions in India and Canada, to audiences ranging from graduate students to senior researchers. Thus the book is written in a style that will appeal to both research mathematicians and students desiring to enter the exciting world of Ramanujan’s mathematics. … the exposition is good and the book will be of interest to students and researchers … .” (Krishnaswami Alladi, Mathematical Reviews, September, 2013)

Table of contents (13 chapters)

  • The Legacy of Srinivasa Ramanujan

    Murty, M. Ram (et al.)

    Pages 1-10

    Preview Buy Chapter 30,19 €
  • The Ramanujan τ-Function

    Murty, M. Ram (et al.)

    Pages 11-23

    Preview Buy Chapter 30,19 €
  • Ramanujan’s Conjecture and ℓ-Adic Representations

    Murty, M. Ram (et al.)

    Pages 25-37

    Preview Buy Chapter 30,19 €
  • The Ramanujan Conjecture from GL(2) to GL(n)

    Murty, M. Ram (et al.)

    Pages 39-66

    Preview Buy Chapter 30,19 €
  • The Circle Method

    Murty, M. Ram (et al.)

    Pages 67-96

    Preview Buy Chapter 30,19 €

Buy this book

eBook 95,19 €
price for Spain (gross)
  • ISBN 978-81-322-0770-2
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 119,59 €
price for Spain (gross)
  • ISBN 978-81-322-0769-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 119,59 €
price for Spain (gross)
  • ISBN 978-81-322-1743-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
The Mathematical Legacy of Srinivasa Ramanujan
Authors
Copyright
2013
Publisher
Springer India
Copyright Holder
Springer India
Distribution Rights
Distribution rights for India: Researchco Book Centre, New Delhi, India
eBook ISBN
978-81-322-0770-2
DOI
10.1007/978-81-322-0770-2
Hardcover ISBN
978-81-322-0769-6
Softcover ISBN
978-81-322-1743-5
Edition Number
1
Number of Pages
XII, 188
Topics