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Ramanujan
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.
An Introduction to Mathematical Analysis
An Introduction to Mathematical Analysis is an introductory text to mathematical analysis, with emphasis on functions of a single real variable. Topics covered include limits and continuity, differentiability, integration, and convergence of infinite series, along with double series and infinite products. This book is comprised of seven chapters and begins with an overview of fundamental ideas and assumptions relating to the field operations and the ordering of the real numbers, together with mathematical induction and upper and lower bounds of sets of real numbers. The following chapters deal with limits of real functions; differentiability and maxima, minima, and convexity; elementary properties of infinite series; and functions defined by power series. Integration is also considered, paying particular attention to the indefinite integral; interval functions and functions of bounded variation; the Riemann-Stieltjes integral; the Riemann integral; and area and curves. The final chapter is devoted to convergence and uniformity. This monograph is intended for mathematics students.
The Antipope
Fantasy-roman.
Number Theory and Modular Forms
Robert A. Rankin, one of the world's foremost authorities on modular forms and a founding editor of The Ramanujan Journal, died on January 27, 2001, at the age of 85. Rankin had broad interests and contributed fundamental papers in a wide variety of areas within number theory, geometry, analysis, and algebra. To commemorate Rankin's life and work, the editors have collected together 25 papers by several eminent mathematicians reflecting Rankin's extensive range of interests within number theory. Many of these papers reflect Rankin's primary focus in modular forms. It is the editors' fervent hope that mathematicians will be stimulated by these papers and gain a greater appreciation for Rankin's contributions to mathematics. This volume would be an inspiration to students and researchers in the areas of number theory and modular forms.
Armageddon
It is the year 2050 and the soap opera The Earthers is making big video bucks in the intergalactic ratings race. Alien TV executives know exactly what the old earth drama needs to make the off-world audience sit up and stare - a spectacular Armageddon-type finale.
Raiders of the Lost Car Park
Hugo Rune returns. And just in time, for the evil fairies of Brentford are planning to conquer the world. To publicise his mission, Hugo plans to kidnap the Queen while she addresses the world before a gig by the greatest rock band on earth, Gandhi's Hairdryer.
The Black Cat
None
SRINIVASA RAMANUJAN
Srinivasa Ramanujan (1887–1920) was an Indian mathematician who made extraordinary contributions to mathematical analysis, number theory, infinite series, and continued fractions. Largely self-taught, Ramanujan's early work was marked by groundbreaking theorems that he discovered intuitively, without formal proofs. His work, though largely unknown outside of India, was eventually recognized by British mathematician G.H. Hardy, who invited him to Cambridge University. There, Ramanujan collaborated with Hardy, producing influential results in areas such as partition theory and the properties of prime numbers. Despite struggling with health issues and the challenges of adapting to life in England, Ramanujan's genius shone brightly. He produced a wealth of original work, including the famous Ramanujan primes and his highly accurate approximations for pi. Ramanujan's legacy continues to influence mathematics today, with numerous formulas and concepts bearing his name, and he remains an iconic figure in the history of mathematics.
