Number Theory in the Spirit of Ramanujan (Student Mathematical Library, vol.34) - Softcover

Berndt, Bruce C.

Softcover

ISBN 10: 0821841785 ISBN 13: 9780821841785

Verlag: American Mathematical Society, 2006

Inhaltsangabe

Suitable for advanced undergraduates or beginning graduate students, this introduction to Ramanujan's work in q-series and theta functions also sets this greatest of number theorists within the context of his world in and out of mathematics. Berndt keeps in the spirit of Ramanujan in his proofs (Ramanujan did not record his own) and gives a summary of the results established for each chapter, placing them in historical and contemporary contexts. He covers Ramanujan's work in congruences for p(n) and r(n), sums of squares and sums of triangular numbers, Eisenstein series, the connection between hypergeometric functions and theta functions and the applications of the primary theorem, and the Rogers-Ramanujan continued fraction. The resulting text is concise, rigorous, elegant and exhilarating in its explanations of Ramanujan's invisible proofs. Annotation ©2006 Book News, Inc., Portland, OR (booknews.com)

Details zur Ausgabe

• Verlag: American Mathematical Society
• Erscheinungsdatum: 2006
• Sprache: Englisch
• ISBN 10: 0821841785
• ISBN 13: 9780821841785
• Einband: Taschenbuch
• Anzahl der Seiten: 187
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar