Ramanujan Essays And Surveys

Author : Bruce C. Berndt
Publisher : American Mathematical Soc.
Page : 388 pages
File Size : 45,9 Mb
Release : 2001
Category : Biography & Autobiography
ISBN : 0821826247

Get Book

Ramanujan: Essays and Surveys by Bruce C. Berndt Pdf

This book contains essays on Ramanujan and his work that were written especially for this volume. It also includes important survey articles in areas influenced by Ramanujan's mathematics. Most of the articles in the book are nontechnical, but even those that are more technical contain substantial sections that will engage the general reader. The book opens with the only four existing photographs of Ramanujan, presenting historical accounts of them and information about other people in the photos. This section includes an account of a cryptic family history written by his younger brother, S. Lakshmi Narasimhan. Following are articles on Ramanujan's illness by R. A. Rankin, the British physician D. A. B. Young, and Nobel laureate S. Chandrasekhar. They present a study of his symptoms, a convincing diagnosis of the cause of his death, and a thorough exposition of Ramanujan's life as a patient in English sanitariums and nursing homes. Following this are biographies of S. Janaki (Mrs. Ramanujan) and S. Narayana Iyer, Chief Accountant of the Madras Port Trust Office, who first communicated Ramanujan's work to the Journal of the Indian Mathematical Society. The last half of the book begins with a section on ``Ramanujan's Manuscripts and Notebooks''. Included is an important article by G. E. Andrews on Ramanujan's lost notebook. The final two sections feature both nontechnical articles, such as Jonathan and Peter Borwein's ``Ramanujan and pi'', and more technical articles by Freeman Dyson, Atle Selberg, Richard Askey, and G. N. Watson. This volume complements the book Ramanujan: Letters and Commentary, Volume 9, in the AMS series, History of Mathematics. For more on Ramanujan, see these AMS publications Ramanujan: Twelve Lectures on Subjects Suggested by His Life and Work, Volume 136.H, and Collected Papers of Srinivasa Ramanujan, Volume 159.H, in the AMS Chelsea Publishing series.

Author : Bruce C. Berndt
Publisher : Unknown
Page : 363 pages
File Size : 55,9 Mb
Release : 2024-06-15
Category : Electronic
ISBN : 8185931356

Get Book

Ramanujan - Essay And Surveys by Bruce C. Berndt Pdf

Author : Krishnaswami Alladi
Publisher : Springer Nature
Page : 265 pages
File Size : 46,9 Mb
Release : 2021-09-17
Category : Mathematics
ISBN : 9789811562419

Get Book

Ramanujan's Place in the World of Mathematics by Krishnaswami Alladi Pdf

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 : George E. Andrews,Bruce C. Berndt
Publisher : Springer Science & Business Media
Page : 446 pages
File Size : 52,7 Mb
Release : 2013-06-04
Category : Mathematics
ISBN : 9781461440819

Get Book

Ramanujan's Lost Notebook by George E. Andrews,Bruce C. Berndt Pdf

​​​​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." Its discovery has frequently been deemed the mathematical equivalent of finding Beethoven's tenth symphony. This volume is the fourth of five volumes that the authors plan to write on Ramanujan’s lost notebook.​ In contrast to the first three books on Ramanujan's Lost Notebook, the fourth book does not focus on q-series. Most of the entries examined in this volume fall under the purviews of number theory and classical analysis. Several incomplete manuscripts of Ramanujan published by Narosa with the lost notebook are discussed. Three of the partial manuscripts are on diophantine approximation, and others are in classical Fourier analysis and prime number theory. Most of the entries in number theory fall under the umbrella of classical analytic number theory. Perhaps the most intriguing entries are connected with the classical, unsolved circle and divisor problems. Review from the second volume: "Fans of Ramanujan's mathematics are sure to be delighted by this book. While some of the content is taken directly from published papers, most chapters contain new material and some previously published proofs have been improved. Many entries are just begging for further study and will undoubtedly be inspiring research for decades to come. The next installment in this series is eagerly awaited." - MathSciNet Review from the first volume: "Andrews and Berndt are to be congratulated on the job they are doing. This is the first step...on the way to an understanding of the work of the genius Ramanujan. It should act as an inspiration to future generations of mathematicians to tackle a job that will never be complete." - Gazette of the Australian Mathematical Society​

Author : David Leavitt
Publisher : Bloomsbury Publishing USA
Page : 500 pages
File Size : 41,7 Mb
Release : 2010-08-10
Category : Fiction
ISBN : 9781596918405

Get Book

The Indian Clerk by David Leavitt Pdf

Based on the remarkable true story of G. H. Hardy and Srinivasa Ramanujan, and populated with such luminaries such as D. H. Lawrence, Bertrand Russell, and Ludwig Wittgenstein, The Indian Clerk takes this extraordinary slice of history and transforms it into an emotional and spellbinding story about the fragility of human connection and our need to find order in the world. A literary masterpiece, it appeared on four bestseller lists, including the Los Angeles Times, and received dazzling reviews from every major publication in the country.

Author : Bruce C. Berndt
Publisher : American Mathematical Soc.
Page : 210 pages
File Size : 52,8 Mb
Release : 2006
Category : Functions, Theta
ISBN : 9780821841785

Get Book

Number Theory in the Spirit of Ramanujan by Bruce C. Berndt Pdf

Ramanujan is recognized as one of the great number theorists of the twentieth century. Here now is the first book to provide an introduction to his work in number theory. Most of Ramanujan's work in number theory arose out of $q$-series and theta functions. This book provides an introduction to these two important subjects and to some of the topics in number theory that are inextricably intertwined with them, including the theory of partitions, sums of squares and triangular numbers, and the Ramanujan tau function. The majority of the results discussed here are originally due to Ramanujan or were rediscovered by him. Ramanujan did not leave us proofs of the thousands of theorems he recorded in his notebooks, and so it cannot be claimed that many of the proofs given in this book are those found by Ramanujan. However, they are all in the spirit of his mathematics. The subjects examined in this book have a rich history dating back to Euler and Jacobi, and they continue to be focal points of contemporary mathematical research. Therefore, at the end of each of the seven chapters, Berndt discusses the results established in the chapter and places them in both historical and contemporary contexts. The book is suitable for advanced undergraduates and beginning graduate students interested in number theory.

Author : Andrew V. Sills
Publisher : CRC Press
Page : 257 pages
File Size : 45,7 Mb
Release : 2017-10-16
Category : Mathematics
ISBN : 9781498745260

Get Book

An Invitation to the Rogers-Ramanujan Identities by Andrew V. Sills Pdf

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 : Michael Bradley
Publisher : Infobase Holdings, Inc
Page : 156 pages
File Size : 48,6 Mb
Release : 2019-11-01
Category : Mathematics
ISBN : 9781438182292

Get Book

Modern Mathematics, Updated Edition by Michael Bradley Pdf

Praise for the previous edition: “…ample information for reports.”—School Library Journal During the first half of the 20th century, mathematics became an international discipline that led to major advances in science and technology. Modern Mathematics, Updated Edition provides an eye-opening introduction to those five historic decades by analyzing the advancement of the field through the accomplishments of 10 significant mathematicians. From David Hilbert and Emmy Noether, who introduced the infinite dimensional vector spaces and algebraic rings that bear their names, to Norbert Wiener, the founder of cybernetics, this in-depth title covers the early 20th-century advancements that expanded the field of mathematics and transformed the way that mathematicians do their work. This edition is ideal for middle and high school students seeking resources for research or general interest.

Author : Facts On File, Incorporated
Publisher : Infobase Publishing
Page : 128 pages
File Size : 48,7 Mb
Release : 2006
Category : Electronic
ISBN : 9780791097205

Get Book

Modern Mathematics by Facts On File, Incorporated Pdf

During the first half of the 20th century, mathematics became an international discipline that led to major advances in science and technology. Modern Mathematics: 1900 to 1950 provides an eye-opening introduction to those five historic decades by analyzing the advancement of the field through the accomplishments of 10 significant mathematicians. From David Hilbert and Emmy Noether, who introduced the infinite dimensional vector spaces and algebraic rings that bear their names, to Norbert Wiener, the founder of cybernetics, this in-depth volume is an excellent choice for libraries aiming to provide a range of resources covering the history of mathematics.

Author : Gurbir Singh
Publisher : Astrotalkuk Publications
Page : 507 pages
File Size : 44,9 Mb
Release : 2017-10-17
Category : Transportation
ISBN : 9780956933768

Get Book

The Indian Space Programme by Gurbir Singh Pdf

Fifty years in the making, India's Space Programme is fulfilling the vision of its founders and delivering services from space that touch the lives of 1.3 billion people every day. In addition to operating a collection of satellites for weather, Earth observation, navigation and communication today, India has a spacecraft orbiting Mars and a space telescope in Earth orbit. This book provides the big picture of India's long association with science, from historical figures like Aryabhata and Bhaskara to Homi Bhabha and Vikram Sarabhai, the key architects of its space program. It covers the scientific contribution of Indian scientists during the European Enlightenment and industrial revolution. It traces the technological development of Tipu Sultan's use of rockets for war in the 1780s; the all-but-forgotten contribution of Stephen H Smith's use of rockets as a means of transport in 1935 in northern India; and the emergence of Sriharikota – India's spaceport, the heart of India's modern Space Programme. • A detailed account of how a fishing village in Kerala was transformed into a space centre and used to launch India's first rocket into space on 21 November 1963. • A detailed summary of India's space infrastructure – launch vehicles, deep space network, Telemetry, Tracking and Command and space assets in orbit. • Description of how the ordinary people of India benefit from the services delivered by the space programme • Why India chose to go to the Moon and Mars and how it got there. • The prospects for India's ambitions in space for human spaceflight, national security and scientific exploration • An analysis of how India's Space Programme may play out on the global stage. Will it compete or collaborate with China, USA and Russia in space? This detailed work, in 645 pages, 29 tables and 9 appendices, is richly illustrated with 140+ illustrations (some images published for the first time) and supported by over 1,000 references. It is written for the non-specialist, offering a big-picture view.

Author : Partha Pratim Ray
Publisher : Rajmangal Prakashan
Page : 685 pages
File Size : 41,9 Mb
Release : 2023-12-20
Category : Architecture
ISBN : 8210379456XXX

Get Book

The Great Mathematicians of Bharat by Partha Pratim Ray Pdf

"The Great Mathematicians of Bharat" emerges as a seminal work, aligning perfectly with the vision of the National Education Policy (NEP) 2020, which emphasizes the integration and appreciation of Indian Knowledge Systems (IKS) in contemporary education. This book meticulously documents the rich legacy of India's mathematical geniuses, serving as a crucial resource in rekindling interest and respect for Bharat's profound mathematical traditions. It underscores the symbiotic relationship between cultural ethos and scientific inquiry, highlighting how Indian mathematicians not only contributed to the field of mathematics but also how their work was deeply interwoven with Hindu spiritual and cultural practices. By chronicling the journey from ancient sages to modern masters, the book provides a comprehensive view of the evolution of mathematical thought in Bharat, thus fulfilling NEP 2020's objective of integrating indigenous knowledge with modern academic frameworks. In doing so, it not only educates but also inspires, setting a precedent for future academic endeavours to explore and celebrate India's rich intellectual heritage.

Author : Nathan Sidoli,Glen Van Brummelen
Publisher : Springer Science & Business Media
Page : 583 pages
File Size : 50,5 Mb
Release : 2013-10-30
Category : Mathematics
ISBN : 9783642367366

Get Book

From Alexandria, Through Baghdad by Nathan Sidoli,Glen Van Brummelen Pdf

This book honors the career of historian of mathematics J.L. Berggren, his scholarship, and service to the broader community. The first part, of value to scholars, graduate students, and interested readers, is a survey of scholarship in the mathematical sciences in ancient Greece and medieval Islam. It consists of six articles (three by Berggren himself) covering research from the middle of the 20th century to the present. The remainder of the book contains studies by eminent scholars of the ancient and medieval mathematical sciences. They serve both as examples of the breadth of current approaches and topics, and as tributes to Berggren's interests by his friends and colleagues.

Author : Krishnaswami Alladi,Bruce C. Berndt,Peter Paule,James A. Sellers,Ae Ja Yee
Publisher : Springer Nature
Page : 810 pages
File Size : 47,5 Mb
Release : 2021-02-10
Category : Mathematics
ISBN : 9783030570507

Get Book

George E. Andrews 80 Years of Combinatory Analysis by Krishnaswami Alladi,Bruce C. Berndt,Peter Paule,James A. Sellers,Ae Ja Yee Pdf

This book presents a printed testimony for the fact that George Andrews, one of the world’s leading experts in partitions and q-series for the last several decades, has passed the milestone age of 80. To honor George Andrews on this occasion, the conference “Combinatory Analysis 2018” was organized at the Pennsylvania State University from June 21 to 24, 2018. This volume comprises the original articles from the Special Issue “Combinatory Analysis 2018 – In Honor of George Andrews’ 80th Birthday” resulting from the conference and published in Annals of Combinatorics. In addition to the 37 articles of the Andrews 80 Special Issue, the book includes two new papers. These research contributions explore new grounds and present new achievements, research trends, and problems in the area. The volume is complemented by three special personal contributions: “The Worlds of George Andrews, a daughter’s take” by Amy Alznauer, “My association and collaboration with George Andrews” by Krishna Alladi, and “Ramanujan, his Lost Notebook, its importance” by Bruce Berndt. Another aspect which gives this Andrews volume a truly unique character is the “Photos” collection. In addition to pictures taken at “Combinatory Analysis 2018”, the editors selected a variety of photos, many of them not available elsewhere: “Andrews in Austria”, “Andrews in China”, “Andrews in Florida”, “Andrews in Illinois”, and “Andrews in India”. This volume will be of interest to researchers, PhD students, and interested practitioners working in the area of Combinatory Analysis, q-Series, and related fields.

Author : Jonathan M. Borwein
Publisher : PSIpress
Page : 309 pages
File Size : 55,8 Mb
Release : 2010
Category : Mathematics
ISBN : 9781935638056

Get Book

Experimental and Computational Mathematics by Jonathan M. Borwein Pdf

A quiet revolution in mathematical computing and scientific visualization took place in the latter half of the 20th century. These developments have dramatically enhanced modes of mathematical insight and opportunities for "exploratory" computational experimentation. This volume collects the experimental and computational contributions of Jonathan and Peter Borwein over the past quarter century.

Author : Helaine Selin
Publisher : Springer Science & Business Media
Page : 2428 pages
File Size : 46,6 Mb
Release : 2008-03-12
Category : Science
ISBN : 9781402045592

Get Book

Encyclopaedia of the History of Science, Technology, and Medicine in Non-Western Cultures by Helaine Selin Pdf

Here, at last, is the massively updated and augmented second edition of this landmark encyclopedia. It contains approximately 1000 entries dealing in depth with the history of the scientific, technological and medical accomplishments of cultures outside of the United States and Europe. The entries consist of fully updated articles together with hundreds of entirely new topics. This unique reference work includes intercultural articles on broad topics such as mathematics and astronomy as well as thoughtful philosophical articles on concepts and ideas related to the study of non-Western Science, such as rationality, objectivity, and method. You’ll also find material on religion and science, East and West, and magic and science.