Description : "The son of a prominent Japanese mathematician who came to the United States after World War II, Ken Ono was raised on a diet of high expectations and little praise. Rebelling against his pressure-cooker of a life, Ken determined to drop out of high school to follow his own path. To obtain his father’s approval, he invoked the biography of the famous Indian mathematical prodigy Srinivasa Ramanujan, whom his father revered, who had twice flunked out of college because of his single-minded devotion to mathematics. Ono describes his rocky path through college and graduate school, interweaving Ramanujan’s story with his own and telling how at key moments, he was inspired by Ramanujan and guided by mentors who encouraged him to pursue his interest in exploring Ramanujan’s mathematical legacy. Picking up where others left off, beginning with the great English mathematician G.H. Hardy, who brought Ramanujan to Cambridge in 1914, Ono has devoted his mathematical career to understanding how in his short life, Ramanujan was able to discover so many deep mathematical truths, which Ramanujan believed had been sent to him as visions from a Hindu goddess. And it was Ramanujan who was ultimately the source of reconciliation between Ono and his parents. Ono’s search for Ramanujan ranges over three continents and crosses paths with mathematicians whose lives span the globe and the entire twentieth century and beyond. Along the way, Ken made many fascinating discoveries. The most important and surprising one of all was his own humanity."
Description : This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks. One goal of the book is to present these fascinating mathematical problems in a new and engaging way and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. Where classical problems are concerned, such as those given in Olympiads or proposed by famous mathematicians like Ramanujan, the author has come up with new, surprising or unconventional ways of obtaining the desired results. The book begins with a lively foreword by renowned author Paul Nahin and is accessible to those with a good knowledge of calculus from undergraduate students to researchers, and will appeal to all mathematical puzzlers who love a good integral or series.
Description : 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.
Description : This book describes the first comprehensive experimental research program on an individual who exhibits exceptional memory. Rajan Mahadevan, the subject of these investigations, won a place in the Guinness Book of Records for reciting pi to 31,811 decimal places, can learn matrices up to size 20 X 20, and can produce memory spans above 60 for digits. Utilizing the methodology and theories of modern cognitive psychology, the authors systematically investigated Rajan's memory skills. A wide range of experiments and tests were conducted with Rajan and four control subjects. These include memory span tests for digits and letters, memory for various kinds of non-numeric information, tests of working memory, learning and retention of numeric matrices, memory and visual searches of the digits of pi, and lexical decision tasks with the digits of pi. The authors describe how they came to understand the way Rajan stored and now retrieves the decimal digits of pi, how he learns and retrieves matrices, and how he encodes and retrieves digits in a memory span task. Although his strategy for memorizing and retrieving digits is unique in the literature on people with extraordinary memory, the authors show how their investigations of Rajan contribute to our understanding of memory.
Description : This is the moving story of the life of Ramanujan the great Indian mathematical genius who appeared suddenly as a meteor in 1887, rushed through a short span of thirty-two years, consumed himself and disappeared with equal suddenness. At the age of thirteen, he had mastered Loney's Trigonometry and even calculated the length of the earth. Son of a clerk in a cloth merchant's shop in Kumbakonam, before the was 23, had filled a whole notebook with hundreds of mathematical theorems and results, in spite of poverty, unemployment and absence of anyone who could understand his work. Many of the theorems were new to the mathematical world and some have not yet been proved. The book unfolds in quick succession, the chief events of his life beginning with his search in 1911 for a clerical post, always carrying his notebook under his arm, to his sailing to England in 1914 and his return home in 1919. In Cambridge he was soon acknowledged to be the most remarkable mathematician of our times and was elected a Fellow of the Trinity College of Cambridge and a Fellow to The Royal Society at the early age of thirty. The book contains the reminiscences of several surviving contemporaries of Ramanujan. It highlights his penetrating intuition and childlike simplicity. He was a 'Seer' in mathematics. Though agnostic in arguments, he was ever conscious of the immanence of God.
Description : The influence of Ramanujan on number theory is without parallel in mathematics. His papers, problems, and letters have spawned a remarkable number of later results by many different mathematicians. Here, his 37 published papers, most of his first two and last letters to Hardy, the famous 58 problems submitted to the Journal of the Indian Mathematical Society, and the commentary of the original editors (Hardy, Seshu Aiyar and Wilson) are reprinted again, after having been unavailable for some time. In this printing of Ramanujan's collected papers, Bruce Berndt provides an annotated guide to Ramanujan's work and to the mathematics it inspired over the last three-quarters of a century. The historical development of ideas is traced in the commentary and by citations to the copious references. The editor has done the mathematical world a tremendous service that few others would be qualified to do.