The Power of q: A Personal Journey - Couverture souple

Livre 47 sur 67: Developments in Mathematics

Hirschhorn, Michael D.

9783319862415: The Power of q: A Personal Journey

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ISBN 10 : 3319862413 ISBN 13 : 9783319862415

Editeur : Springer, 2018

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Aptly conveys the beauty and power of q-series
Accessible to advanced undergraduates, graduate students, and researchers

Historical notes enrich the readers understanding of the subject

First monograph to focus uniquely on q-series

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Springer
Date d'�dition: 2018
Langue: anglais
ISBN 10: 3319862413
ISBN 13: 9783319862415
Reliure: Broch�
Nombre de pages: 444
Coordonn�es du fabricant: Springer Nature Customer Service Center GmbH
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The Power of q: A Personal Journey (eng)

Hirschhorn, Michael D.

Edit� par Springer, 2018

ISBN 10 : 3319862413 ISBN 13 : 9783319862415

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The Power of q

Michael D. Hirschhorn

Edit� par Springer International Publishing Aug 2018, 2018

ISBN 10 : 3319862413 ISBN 13 : 9783319862415

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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This unique book explores the world of q, known technically as basic hypergeometric series, and represents the author's personal and life-long study-inspired by Ramanujan-of aspects of this broad topic. While the level of mathematical sophistication is graduated, the book is designed to appeal to advanced undergraduates as well as researchers in the field. The principal aims are to demonstrate the power of the methods and the beauty of the results. The book contains novel proofs of many results in the theory of partitions and the theory of representations, as well as associated identities. Though not specifically designed as a textbook, parts of it may be presented in course work; it has many suitable exercises.After an introductory chapter, the power of q-series is demonstrated with proofs of Lagrange's four-squares theorem and Gauss's two-squares theorem. Attention then turns to partitions and Ramanujan's partition congruences. Several proofs of these are given throughout the book. Many chapters are devoted to related and other associated topics. One highlight is a simple proof of an identity of Jacobi with application to string theory. On the way, we come across the Rogers-Ramanujan identities and the Rogers-Ramanujan continued fraction, the famous 'forty identities' of Ramanujan, and the representation results of Jacobi, Dirichlet and Lorenz, not to mention many other interesting and beautiful results. We also meet a challenge of D.H. Lehmer to give a formula for the number of partitions of a number into four squares, prove a 'mysterious' partition theorem of H. Farkas and prove a conjecture of R.Wm. Gosper 'which even Erd�s couldn't do.' The book concludes with a look at Ramanujan's remarkable tau function. 444 pp. Englisch. N� de r�f. du vendeur 9783319862415

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The Power of q

Michael D. Hirschhorn

Edit� par Springer International Publishing, 2018

ISBN 10 : 3319862413 ISBN 13 : 9783319862415

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The Power of q : A Personal Journey

Michael D. Hirschhorn

Edit� par Springer, 2018

ISBN 10 : 3319862413 ISBN 13 : 9783319862415

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Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne

�valuation du vendeur 5 sur 5 �toiles

Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This unique book explores the world of q, known technically as basic hypergeometric series, and represents the author's personal and life-long study-inspired by Ramanujan-of aspects of this broad topic. While the level of mathematical sophistication is graduated, the book is designed to appeal to advanced undergraduates as well as researchers in the field. The principal aims are to demonstrate the power of the methods and the beauty of the results. The book contains novel proofs of many results in the theory of partitions and the theory of representations, as well as associated identities. Though not specifically designed as a textbook, parts of it may be presented in course work; it has many suitable exercises.After an introductory chapter, the power of q-series is demonstrated with proofs of Lagrange's four-squares theorem and Gauss's two-squares theorem. Attention then turns to partitions and Ramanujan's partition congruences. Several proofs of these are given throughout the book. Many chapters are devoted to related and other associated topics. One highlight is a simple proof of an identity of Jacobi with application to string theory. On the way, we come across the Rogers-Ramanujan identities and the Rogers-Ramanujan continued fraction, the famous 'forty identities' of Ramanujan, and the representation results of Jacobi, Dirichlet and Lorenz, not to mention many other interesting and beautiful results. We also meet a challenge of D.H. Lehmer to give a formula for the number of partitions of a number into four squares, prove a 'mysterious' partition theorem of H. Farkas and prove a conjecture of R.Wm. Gosper 'which even Erd�s couldn't do.' The book concludes with a look at Ramanujan's remarkable tau function. N� de r�f. du vendeur 9783319862415

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The Power of q

Michael D. Hirschhorn

Edit� par Springer, Palgrave Macmillan Aug 2018, 2018

ISBN 10 : 3319862413 ISBN 13 : 9783319862415

Neuf Taschenbuch

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Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne

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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -Aptly conveys the beauty and power of q-seriesSpringer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 444 pp. Englisch. N� de r�f. du vendeur 9783319862415

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