Articles liés à Special Functions
Synopsis
Special functions, natural generalizations of the elementary functions, have been studied for centuries. The greatest mathematicians, among them Euler, Gauss, Legendre, Eisenstein, Riemann, and Ramanujan, have laid the foundations for this beautiful and u
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
Revue de presse
'Occasionally there is published a mathematics book that one is compelled to describe as, well, let us say, special. Special Functions is certainly one of those rare books. ... this treatise ... should become a classic. Every student, user, and researcher in analysis will want to have it close at hand as she/he works.' The Mathematical Intelligencer
' ... the material is written in an excellent manner ... I recommend this book warmly as a rich source of information to everybody who is interested in 'Special Functions'.' Zentralblatt MATH
' ... this book contains a wealth of fascinating material which is presented in a user-friendly way. If you want to extend your knowledge of special functions, this is a good place to start. Even if your interests are in number theory or combinatorics, there is something for you too ... the book can be warmly recommended and should be in all good libraries.' Adam McBride, The Mathematical Gazette
' ... it comes into the range of affordable books that you want to (and probably should have on your desk'. Jean Mawhin, Bulletin of the Belgian Mathematical Society
'The book is full of beautiful and interesting formulae, as was always the case with mathematics centred around special functions. It is written in the spirit of the old masters, with mathemtics developed in terms of formulas. There are many historical comments in the book. It can be recommended as a very useful reference.' European Mathematical Society
'... full of beautiful and interesting formulae ... It can be recommended as a very useful reference.' EMS Newsletter
Présentation de l'éditeur
Special functions, natural generalizations of the elementary functions, have been studied for centuries. The greatest mathematicians, among them Euler, Gauss, Legendre, Eisenstein, Riemann, and Ramanujan, have laid the foundations for this beautiful and useful area of mathematics. This treatise presents an overview of special functions, focusing primarily on hypergeometric functions and the associated hypergeometric series, including Bessel functions and classical orthogonal polynomials, using the basic building block of the gamma function. In addition to relatively new work on gamma and beta functions, such as Selberg's multidimensional integrals, many important but relatively unknown nineteenth century results are included. Other topics include q-extensions of beta integrals and of hypergeometric series, Bailey chains, spherical harmonics, and applications to combinatorial problems. The authors provide organizing ideas, motivation, and historical background for the study and application of some important special functions. This clearly expressed and readable work can serve as a learning tool and lasting reference for students and researchers in special functions, mathematical physics, differential equations, mathematical computing, number theory, and combinatorics.
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- ÉditeurCambridge University Press
- Date d'édition2010
- ISBN 10 0521789885
- ISBN 13 9780521789882
- ReliureBroché
- Langueanglais
- Nombre de pages682
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Special Functions (Encyclopedia of Mathematics and its Applications, Series Number 71)
Edité par
Cambridge University Press, 2001
ISBN 10 : 0521789885
ISBN 13 : 9780521789882
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Special Functions
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Cambridge University Press, 1999
ISBN 10 : 0521789885
ISBN 13 : 9780521789882
Ancien ou d'occasion
Soft cover
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Special Functions
Edité par
Cambridge Univ. Press, 2000
ISBN 10 : 0521789885
ISBN 13 : 9780521789882
Ancien ou d'occasion
Softcover
Edition originale
Vendeur : Mr Pickwick's Fine Old Books, Katoomba, NSW, Australie
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Softcover. Etat : Very Good. Etat de la jaquette : No Dust Jacket. First Edition. First softcover edition. Size: Quarto. 664 pages. Text body is clean, and free from previous owner annotation, underlining and highlighting. Binding is tight, covers and spine fully intact. No foxing in this copy. Edges very slightly spotted or marked. Quantity Available: 1. Shipped Weight: 1-2 kilos. Category: Mathematics; ISBN: 0521789885. ISBN/EAN: 9780521789882. All our pictures shown here are of the actual item, not stock photos. Inventory No: 31519: Cabinet 6 This book is extra heavy, and may involve extra shipping charges to some countries. For further info on this title, click on the "Contact Seller" button within this listing. We will try to reply within 24 hours. Otherwise you can order right now (inclusive of shipping options) from the "Add to Basket" button to the right. N° de réf. du vendeur 31519
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Special Functions
Edité par
Cambridge University Press, 2000
ISBN 10 : 0521789885
ISBN 13 : 9780521789882
Ancien ou d'occasion
Soft Cover
Edition originale
Vendeur : Nighttown Books, Powell, WY, Etats-Unis
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Soft Cover. Etat : As New. First Edition. First Paperback Edition (stated) First Printing in red & white wraps, no markings, NOT ex-lib, no spine/cover creases, trace edge wear to covers, else Fine unread copy; thick 8vo; (xvi) 664pp indexed. N° de réf. du vendeur 32488
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Special Functions
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Cambridge University Press 2001-12, 2001
ISBN 10 : 0521789885
ISBN 13 : 9780521789882
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Special Functions (Encyclopedia of Mathematics and its Applications, Series Number 71)
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Cambridge University Press, 2001
ISBN 10 : 0521789885
ISBN 13 : 9780521789882
Neuf
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Special Functions (Encyclopedia of Mathematics and its Applications, Series Number 71)
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Cambridge University Press, 2001
ISBN 10 : 0521789885
ISBN 13 : 9780521789882
Neuf
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Special Functions (Encyclopedia of Mathematics and its Applications, Series Number 71)
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Cambridge University Press, 2001
ISBN 10 : 0521789885
ISBN 13 : 9780521789882
Neuf
Couverture souple
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Special Functions (Paperback)
Edité par
Cambridge University Press, Cambridge, 2001
ISBN 10 : 0521789885
ISBN 13 : 9780521789882
Neuf
Paperback
Edition originale
Vendeur : Grand Eagle Retail, Fairfield, OH, Etats-Unis
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Paperback. Etat : new. Paperback. Special functions, natural generalizations of the elementary functions, have been studied for centuries. The greatest mathematicians, among them Euler, Gauss, Legendre, Eisenstein, Riemann, and Ramanujan, have laid the foundations for this beautiful and useful area of mathematics. This treatise presents an overview of special functions, focusing primarily on hypergeometric functions and the associated hypergeometric series, including Bessel functions and classical orthogonal polynomials, using the basic building block of the gamma function. In addition to relatively new work on gamma and beta functions, such as Selberg's multidimensional integrals, many important but relatively unknown nineteenth century results are included. Other topics include q-extensions of beta integrals and of hypergeometric series, Bailey chains, spherical harmonics, and applications to combinatorial problems. The authors provide organizing ideas, motivation, and historical background for the study and application of some important special functions. This clearly expressed and readable work can serve as a learning tool and lasting reference for students and researchers in special functions, mathematical physics, differential equations, mathematical computing, number theory, and combinatorics. Special functions, which include the trigonometric functions, have been used for centuries. Their role in the solution of differential equations was exploited by Newton and Leibniz, and the subject of special functions has been in continuous development ever since. In just the past thirty years several new special functions and applications have been discovered. This treatise presents an overview of the area of special functions, focusing primarily on the hypergeometric functions and the associated hypergeometric series. It includes both important historical results and recent developments and shows how these arise from several areas of mathematics and mathematical physics. Particular emphasis is placed on formulas that can be used in computation. The book begins with a thorough treatment of the gamma and beta functions that are essential to understanding hypergeometric functions. Later chapters discuss Bessel functions, orthogonal polynomials and transformations, the Selberg integral and its applications, spherical harmonics, q-series, partitions, and Bailey chains. This clear, authoritative work will be a lasting reference for students and researchers in number theory, algebra, combinatorics, differential equations, applied mathematics, mathematical computing, and mathematical physics. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9780521789882
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