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 référence à une autre édition de ce titre.
Vendeur : Brook Bookstore On Demand, Napoli, NA, Italie
Etat : new. Questo è un articolo print on demand. N° de réf. du vendeur 857e0d75cf61f6578401c9994fb32e7e
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Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
Etat : New. N° de réf. du vendeur 29221154-n
Quantité disponible : 1 disponible(s)
Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
HRD. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur GB-9783319577616
Quantité disponible : 1 disponible(s)
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
HRD. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur GB-9783319577616
Quantité disponible : 1 disponible(s)
Vendeur : Chiron Media, Wallingford, Royaume-Uni
Hardcover. Etat : New. N° de réf. du vendeur 6666-GRD-9783319577616
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Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
Etat : As New. Unread book in perfect condition. N° de réf. du vendeur 29221154
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Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
Etat : New. N° de réf. du vendeur 29221154-n
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Vendeur : California Books, Miami, FL, Etats-Unis
Etat : New. N° de réf. du vendeur I-9783319577616
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Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
Etat : New. In English. N° de réf. du vendeur ria9783319577616_new
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Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Buch. 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 Erdös couldn't do.' The book concludes with a look at Ramanujan's remarkable tau function. 444 pp. Englisch. N° de réf. du vendeur 9783319577616
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