Special Functions: A Unified Theory Based on Singularities (Oxford Mathematical Monographs)

Sergei Yu. Slavyanov; Wolfgang Lay

ISBN 10: 0198505736 / ISBN 13: 9780198505730

Editore: Oxford University Press, 2000

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Hardcover. Black paper over boards, with gold lettering on front cover and spine. Light scratch mark to back cover, and a little square where the paper appears a bit darker (there was an old price sticker there; now there's not). Pages clean and unmarked. A very good copy. Codice articolo 19-604

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Titolo: Special Functions: A Unified Theory Based on...

Casa editrice: Oxford University Press

Data di pubblicazione: 2000

Legatura: Hardcover

Condizione: Very Good

Edizione: 1st Edition

Descrizione articolo

Riassunto:

The subject of this book is the theory of special functions, not considered as a list of functions exhibiting a certain range of properties, but based on the unified study of singularities of second-order ordinary differential equations in the complex domain. The number and characteristics of the singularities serve as a basis for classification of each individual special function. Links between linear special functions (as solutions of linear second-order equations), and non-linear special functions (as solutions of Painlevé equations) are presented as a basic and new result. Many applications to different areas of physics are shown and discussed. The book is written from a practical point of view and will address all those scientists whose work involves applications of mathematical methods. Lecturers, graduate students and researchers will find this a valuable text and reference work.

Recensione:

The main aim of the book is to be a tool for practical use for applied mathematicians, physicists and engineers. It offers a very systematic treatment, without too many proofs, and can be complemented by software that is available separately. The book has a lot of helpful pictures, diagrams and tables. (EMS)