Number Theory in the Spirit of Ramanujan

Bruce C. Berndt

ISBN 10: 0821841785 / ISBN 13: 9780821841785

Verlag: American Mathematical Society, 2006

Beschreibung

Ramanujan is recognized as one of the great number theorists of the twentieth century. This book provides an introduction to his work in number theory. It also examines subjects that have a rich history dating back to Euler and Jacobi, and they continue to be focal points of contemporary mathematical research. Series: Student Mathematical Library. Num Pages: 187 pages, 1 port. BIC Classification: PBH; PBK. Category: (P) Professional & Vocational. Dimension: 217 x 139 x 12. Weight in Grams: 248. . 2006. Paperback. . . . . Books ship from the US and Ireland.

Bestandsnummer des Verkäufers V9780821841785

Bibliografische Details

• Titel: Number Theory in the Spirit of Ramanujan
• Verlag: American Mathematical Society
• Erscheinungsjahr: 2006
• Sprache: Englisch
• ISBN-10: 0821841785
• ISBN-13: 9780821841785
• Einband: Softcover
• Zustand: New

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.