Ramanujan 125 PDF Download

Author: Ae Ja Yee,
Publisher: American Mathematical Soc.
ISBN: 1470410788
Category : Mathematics
Languages : en
Pages : 186

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Book Description
This volume contains the proceedings of an international conference to commemorate the 125th anniversary of Ramanujan's birth, held from November 5-7, 2012, at the University of Florida, Gainesville, Florida. Srinivasa Ramanujan was India's most famous mathematician. This volume contains research and survey papers describing recent and current developments in the areas of mathematics influenced by Ramanujan. The topics covered include modular forms, mock theta functions and harmonic Maass forms, continued fractions, partition inequalities, -series, representations of affine Lie algebras and partition identities, highly composite numbers, analytic number theory and quadratic forms.

Author: Krishnaswami Alladi
Publisher: Springer Nature
ISBN: 9811562415
Category : Mathematics
Languages : en
Pages : 265

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Book Description
The First Edition of the book is a collection of articles, all by the author, on the Indian mathematical genius Srinivasa Ramanujan as well as on some of the greatest mathematicians in history whose life and works have things in common with Ramanujan. It presents a unique comparative study of Ramanujan’s spectacular discoveries and remarkable life with the monumental contributions of various mathematical luminaries, some of whom, like Ramanujan, overcame great difficulties in life. Also, among the articles are reviews of three important books on Ramanujan’s mathematics and life. In addition, some aspects of Ramanujan’s contributions, such as his remarkable formulae for the number pi, his path-breaking work in the theory of partitions, and his fundamental observations on quadratic forms, are discussed. Finally, the book describes various current efforts to ensure that the legacy of Ramanujan will be preserved and continue to thrive in the future. This Second Edition is an expanded version of the first with six more articles by the author. Of note is the inclusion of a detailed review of the movie The Man Who Knew Infinity, a description of the fundamental work of the SASTRA Ramanujan Prize Winners, and an account of the Royal Society Conference to honour Ramanujan’s legacy on the centenary of his election as FRS.

Author: Andrew V. Sills
Publisher: CRC Press
ISBN: 1498745261
Category : Mathematics
Languages : en
Pages : 257

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Book Description
The Rogers--Ramanujan identities are a pair of infinite series—infinite product identities that were first discovered in 1894. Over the past several decades these identities, and identities of similar type, have found applications in number theory, combinatorics, Lie algebra and vertex operator algebra theory, physics (especially statistical mechanics), and computer science (especially algorithmic proof theory). Presented in a coherant and clear way, this will be the first book entirely devoted to the Rogers—Ramanujan identities and will include related historical material that is unavailable elsewhere.

Author: Rajesh Thakur
Publisher: Prabhat Prakashan
ISBN: 8184302045
Category : Biography & Autobiography
Languages : en
Pages : 141

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Book Description
Dive into the fascinating world of mathematics with the "Ramanujan Quiz Book" by Rajesh Thakur, an engaging and enlightening exploration of the life and work of the legendary mathematician Srinivasa Ramanujan. Join author Rajesh Thakur on a journey of discovery as he presents a captivating collection of quizzes and trivia questions that delve into the genius and contributions of Srinivasa Ramanujan. Whether you're a mathematics enthusiast, a student, or simply curious about the life of this extraordinary mathematician, this quiz book offers a fun and educational way to learn more about Ramanujan's groundbreaking work. Test your knowledge and challenge yourself with quizzes that cover a wide range of topics, from Ramanujan's early life and education to his groundbreaking mathematical theorems and discoveries. With each question, you'll gain a deeper understanding of Ramanujan's brilliance and the impact of his work on the field of mathematics. As you work your way through the quizzes, you'll uncover fascinating facts and insights about Ramanujan's life, his unique mathematical intuition, and his enduring legacy. From his famous collaborations with mathematicians like G.H. Hardy to his groundbreaking contributions to number theory and infinite series, Ramanujan's work continues to inspire and amaze mathematicians around the world. Whether you're looking to test your knowledge, learn something new, or simply enjoy a fun and engaging quiz book, "Ramanujan Quiz Book" is the perfect choice. Join Rajesh Thakur on a journey of exploration and discovery as you uncover the fascinating story of Srinivasa Ramanujan, one of the greatest mathematicians of all time. Don't miss your chance to test your knowledge and learn more about the life and work of Srinivasa Ramanujan. Grab your copy of "Ramanujan Quiz Book" by Rajesh Thakur today and embark on a journey of mathematical discovery and enlightenment.

Author: Srinivasa Ramanujan Aiyangar
Publisher: American Mathematical Soc.
ISBN: 9780821891254
Category : Mathematics
Languages : en
Pages : 366

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Book Description
The letters that Ramanujan wrote to G. H. Hardy on January 16 and February 27, 1913, are two of the most famous letters in the history of mathematics. These and other letters introduced Ramanujan and his remarkable theorems to the world and stimulated much research, especially in the 1920s and 1930s. This book brings together many letters to, from, and about Ramanujan. The letters came from the National Archives in Delhi, the Archives in the State of Tamil Nadu, and a variety of other sources. Helping to orient the reader is the extensive commentary, both mathematical and cultural, by Berndt and Rankin; in particular, they discuss in detail the history, up to the present day, of each mathematical result in the letters. Containing many letters that have never been published before, this book will appeal to those interested in Ramanujan's mathematics as well as those wanting to learn more about the personal side of his life. Ramanujan: Letters and Commentary was selected for the CHOICE list of Outstanding Academic Books for 1996.

Author:
Publisher: Prabhat Prakashan
ISBN:
Category : Self-Help
Languages : en
Pages : 3245

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Book Description
This Combo Collection (Set of 3 Books) includes All-time Bestseller Books. This anthology contains: Ramanujan Quiz Book Kalam Quiz Book Swami Vivekananda Quiz Book

Author: Krishnaswami Alladi
Publisher: World Scientific
ISBN: 9811263078
Category : Mathematics
Languages : en
Pages : 770

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Book Description
This is an autobiography and an exposition on the contributions and personalities of many of the leading researchers in mathematics and physics with whom Dr Krishna Alladi, Professor of Mathematics at the University of Florida, has had personal interaction with for over six decades. Discussions of various aspects of the physics and mathematics academic professions are included.Part I begins with the author's unusual and frequent introductions as a young boy to scientific luminaries like Nobel Laureates Niels Bohr, Murray Gell-Mann, and Richard Feynman, in the company of his father, the scientist Alladi Ramakrishnan. Also in Part I is an exciting account of how the author started his research investigations in number theory as an undergraduate, and how contact and collaboration with the great Paul Erdős as a student influenced him in his career.In-depth views of the Institute for Advanced Study, Princeton, and several major American Universities are given, and fascinating descriptions of the work and personalities of some Field Medalists and eminent mathematicians are provided.Part II deals with the author's tenure at the University of Florida where he initiated several programs as Mathematics Chair for a decade, and how he has served the profession in various capacities, most notably as Chair of the SASTRA Ramanujan Prize Committee and Editor-in-Chief of The Ramanujan Journal.The book would appeal to academicians and the general public, since the author has blended academic and scientific discussions at a non-technical level with descriptions of destinations in his international travels for work and pleasure. The reader is invited to dig as deep as desired and is guaranteed to be treated to whimsical stories and personal peeks at some of the great luminaries of the twentieth and twenty-first centuries.

Author: George E. Andrews
Publisher: Springer Science & Business Media
ISBN: 0387777660
Category : Mathematics
Languages : en
Pages : 423

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Book Description
In the spring of 1976, George Andrews of Pennsylvania State University visited the library at Trinity College, Cambridge, to examine the papers of the late G.N. Watson. Among these papers, Andrews discovered a sheaf of 138 pages in the handwriting of Srinivasa Ramanujan. This manuscript was soon designated "Ramanujan's lost notebook." The "lost notebook" contains considerable material on mock theta functions and so undoubtedly emanates from the last year of Ramanujan's life. It should be emphasized that the material on mock theta functions is perhaps Ramanujan's deepest work.

Author: Shaun Cooper
Publisher: Springer
ISBN: 3319561723
Category : Mathematics
Languages : en
Pages : 687

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Book Description
Theta functions were studied extensively by Ramanujan. This book provides a systematic development of Ramanujan’s results and extends them to a general theory. The author’s treatment of the subject is comprehensive, providing a detailed study of theta functions and modular forms for levels up to 12. Aimed at advanced undergraduates, graduate students, and researchers, the organization, user-friendly presentation, and rich source of examples, lends this book to serve as a useful reference, a pedagogical tool, and a stimulus for further research. Topics, especially those discussed in the second half of the book, have been the subject of much recent research; many of which are appearing in book form for the first time. Further results are summarized in the numerous exercises at the end of each chapter.

Author: Manmohan Krishna Bhatnagar
Publisher: Atlantic Publishers & Dist
ISBN: 9788126901630
Category :
Languages : en
Pages : 188

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Book Description
A.K. Ramanujan Represents The Quintessential Indian English Poet Engaged In A Relentless Quest For Self In The Welter Of Tradition And Contemporary Reality As Well As That For A Well-Adapted Poetic Idiom. His Poetry Refracts The Essential Indian Sensibility Fused Artistically With The Temper Of Modernity. Ramanujan Emerges Out Of His Artistic Predicament To A State Of Creative Freedom By Means Of Cultivating A Uniquely Personal Idiom. It Is Within This Thematic And Linguistic Framework That Ramanujan S Poetry Projects A Self Assuming A Number Of Identities In Time, Rendering The Quality Of Transparence.Applying Closely Textual, Formal, Socio-Cultural, Philosophic, Imagistic And Post-Colonial Approaches Of Literary Appreciation And Analysis, The Essays In The Present Anthology Take A Fresh Look At Ramanujan S Poetry, Revealing Aspects Of Study Hitherto Unexplored, Offer Critically Incisive And Insightful Probes Into Different Collections Of Poems And Examine In Depth The Deployment Of Images, Symbols And Other Poetic And Rhetorical Devices.An Indispensable Source-Book For Students, Researchers And Teachers Of Indian English And Commonwealth Literature In General And Poetry And A.K. Ramanujan In Particular.