Shaun Cooper: Ramanujan's Theta Functions

Um unseren Shop nutzen zu können, müssen Sie Javascript in Ihrem Browser aktivieren.

Cover: 9783319561714 | Ramanujan's Theta Functions | Shaun Cooper | Buch | Englisch | 2017

Dekorationsartikel gehören nicht zum Leistungsumfang.

Sprache: Englisch

138,95 €*

inkl. MwSt., versandkostenfrei

Versandkostenfrei per Post / DHL

Lieferzeit 4-7 Werktage

Sie können kein Produkt in den Warenkorb legen, da Javascript und technisch notwendige Cookies aktiviert sein müssen.

Kategorien:

Der Artikel ist nicht in deutscher Sprache verfasst.
Die Sprache der Produktbeschreibung und Details kann in Englisch angegeben sein. Sollten Sie Verständnisprobleme haben, wenden Sie sich gerne an uns.

Beschreibung

Theta functions were studied extensively by Ramanujan. This book provides a systematic development of Ramanujan¿s results and extends them to a general theory. The author¿s treatment of the subject is comprehensive, providing a detailed study of theta functions and modular forms for levels up to 12. Aimed at advanced undergraduates, graduate students, and researchers, the organization, user-friendly presentation, and rich source of examples, lends this book to serve as a useful reference, a pedagogical tool, and a stimulus for further research.
Topics, especially those discussed in the second half of the book, have been the subject of much recent research; many of which are appearing in book form for the first time. Further results are summarized in the numerous exercises at the end of each chapter.

Über den Autor

Shaun Cooper received a PhD in Mathematics from the University of Wisconsin at Madison in 1995 and has worked at Massey University in New Zealand ever since. He was a visiting Assistant Professor at the University of Minnesota for one semester in 2000, and has spent 12 months each at the National University of Singapore (2007/8) and the University of Newcastle, Australia (2015/16). He is the author of approximately 70 refereed journal articles and edited the book Development of Elliptic Functions According to Ramanujan.

Zusammenfassung

Contains a detailed and systematic analysis of theta functions, by level and by weight

Serves as a useful, encyclopedic reference, designed to be a full and comprehensive study of select levels of Theta functions and modular forms

Features topics that have been the subject of much recent research, with the material organized into a systematic setting

Marks the first time many of the topics within will have appeared in book form

Inhaltsverzeichnis

Preface.- 0. Sum to Product Identities.- 1. Elliptic Functions.- 2. Transformations.- 3. Theta Functions.- 4. Levels 1, 2, 3, and 4: Jacobi's Inversion Theorem and Ramanujan's Alternative Theories.- 5. Level 5: The Rogers-Ramanujan Continued Fraction.- 6. Level 6: Ramanujan's Cubic Continued Fraction.- 7. Level 7.- 8. Level 8: The Ramanujan-Gollnitz-Gordon Continued Fraction.- 9. Level 9.- 10. Level 10: Ramanujan's Function k.- 11. Levels 11 and 23.- 12. Level 12.- 13. Hypergeometric Modular Transformations.- 14. Ramanujan's Series for 1/pi.- References.

Details

Erscheinungsjahr:	2017
Fachbereich:	Arithmetik & Algebra
Genre:	Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Buch
Seiten:	708
Inhalt:	XVIII 687 S. 1 s/w Illustr. 687 p. 1 illus.
ISBN-13:	9783319561714
ISBN-10:	3319561715
Sprache:	Englisch
Ausstattung / Beilage:	HC runder Rücken kaschiert
Einband:	Gebunden
Autor:	Cooper, Shaun
Auflage:	1st ed. 2017
Hersteller:	Springer International Publishing
Maße:	241 x 160 x 44 mm
Von/Mit:	Shaun Cooper
Erscheinungsdatum:	26.06.2017
Gewicht:	1,215 kg

preigu-id: 109405055