Bøker av Ranjan (Beloit College Roy

This second edition of Sources in the Development of Mathematics, now in two volumes, traces the development of series and products from 1380-2000 through the interconnected concepts and results of unsung and celebrated mathematicians. This second volume treats more advanced topics, with extensive added context, detail, and primary source material.

This second edition of Sources in the Development of Mathematics, now in two volumes, traces the development of series and products from 1380-2000 through the interconnected concepts and results of unsung and celebrated mathematicians. This first volume is accessible to undergraduates, adding extensive context, detail, and primary source material.

This thorough work presents the fundamental results of modular function theory as developed during the nineteenth and early-twentieth centuries. It features beautiful formulas and derives them using skillful and ingenious manipulations, especially classical methods often overlooked today. Starting with the work of Gauss, Abel, and Jacobi, the book then discusses the attempt by Dedekind to construct a theory of modular functions independent of elliptic functions. The latter part of the book explains how Hurwitz completed this task and includes one of Hurwitz's landmark papers, translated by the author, and delves into the work of Ramanujan, Mordell, and Hecke. For graduate students and experts in modular forms, this book demonstrates the relevance of these original sources and thereby provides the reader with new insights into contemporary work in this area.