Special Functions Of Mathematical Physics
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Special Functions
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Author : Nico M. Temme
language : en
Publisher: John Wiley & Sons
Release Date : 2011-03-01
Special Functions written by Nico M. Temme and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-01 with Mathematics categories.
This book gives an introduction to the classical, well-known special functions which play a role in mathematical physics, especially in boundary value problems. Calculus and complex function theory form the basis of the book and numerous formulas are given. Particular attention is given to asymptomatic and numerical aspects of special functions, with numerous references to recent literature provided.
Formulas And Theorems For The Special Functions Of Mathematical Physics
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Author : Wilhelm Magnus
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-11-11
Formulas And Theorems For The Special Functions Of Mathematical Physics written by Wilhelm Magnus and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.
This is a new and enlarged English edition of the book which, under the title "Formeln und Satze fur die Speziellen Funktionen der mathe matischen Physik" appeared in German in 1946. Much of the material (part of it unpublished) did not appear in the earlier editions. We hope that these additions will be useful and yet not too numerous for the purpose of locating .with ease any particular result. Compared to the first two (German) editions a change has taken place as far as the list of references is concerned. They are generally restricted to books and monographs and accomodated at the end of each individual chapter. Occasional references to papers follow those results to which they apply. The authors felt a certain justification for this change. At the time of the appearance of the previous edition nearly twenty years ago much of the material was scattered over a number of single contributions. Since then most of it has been included in books and monographs with quite exhaustive bibliographies. For information about numerical tables the reader is referred to "Mathematics of Computation", a periodical publis hed by the American Mathematical Society; "Handbook of Mathe matical Functions" with formulas, graphs and mathematical tables National Bureau of Standards Applied Mathematics Series, 55, 1964, 1046 pp., Government Printing Office, Washington, D.C., and FLETCHER, MILLER, ROSENHEAD, Index of Mathematical Tables, Addison-Wesley, Reading, Mass.) .. There is a list of symbols and abbreviations at the end of the book.
Special Functions Of Mathematical Physics
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Author : NIKIFOROV
language : en
Publisher: Birkhäuser
Release Date : 2013-05-08
Special Functions Of Mathematical Physics written by NIKIFOROV and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-05-08 with Mathematics categories.
With students of Physics chiefly in mind, we have collected the material on special functions that is most important in mathematical physics and quan tum mechanics. We have not attempted to provide the most extensive collec tion possible of information about special functions, but have set ourselves the task of finding an exposition which, based on a unified approach, ensures the possibility of applying the theory in other natural sciences, since it pro vides a simple and effective method for the independent solution of problems that arise in practice in physics, engineering and mathematics. For the American edition we have been able to improve a number of proofs; in particular, we have given a new proof of the basic theorem (§3). This is the fundamental theorem of the book; it has now been extended to cover difference equations of hypergeometric type (§§12, 13). Several sections have been simplified and contain new material. We believe that this is the first time that the theory of classical or thogonal polynomials of a discrete variable on both uniform and nonuniform lattices has been given such a coherent presentation, together with its various applications in physics.
The Functions Of Mathematical Physics
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Author : Harry Hochstadt
language : en
Publisher: Courier Corporation
Release Date : 1986-01-01
The Functions Of Mathematical Physics written by Harry Hochstadt and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1986-01-01 with Science categories.
A modern classic, this clearly written, incisive textbook provides a comprehensive, detailed survey of the functions of mathematical physics, a field of study straddling the somewhat artificial boundary between pure and applied mathematics. In the 18th and 19th centuries, the theorists who devoted themselves to this field — pioneers such as Gauss, Euler, Fourier, Legendre, and Bessel — were searching for mathematical solutions to physical problems. Today, although most of the functions have practical applications, in areas ranging from the quantum-theoretical model of the atom to the vibrating membrane, some, such as those related to the theory of discontinuous groups, still remain of purely mathematical interest. Chapters One and Two examine orthogonal polynomials, with sections on such topics as the recurrence formula, the Christoffel-Darboux formula, the Weierstrass approximation theorem, and the application of Hermite polynomials to quantum mechanics. Chapter Three is devoted to the principal properties of the gamma function, including asymptotic expansions and Mellin-Barnes integrals. Chapter Four covers hypergeometric functions, including a review of linear differential equations with regular singular points, and a general method for finding integral representations. Chapters Five and Six are concerned with the Legendre functions and their use in the solutions of Laplace's equation in spherical coordinates, as well as problems in an n-dimension setting. Chapter Seven deals with confluent hypergeometric functions, and Chapter Eight examines, at length, the most important of these — the Bessel functions. Chapter Nine covers Hill's equations, including the expansion theorems.
Special Functions Of Mathematical Physics And Chemistry
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Author : Ian Naismith Sneddon
language : en
Publisher:
Release Date : 1961
Special Functions Of Mathematical Physics And Chemistry written by Ian Naismith Sneddon and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Functions categories.
Special Functions Of Mathematical Physics
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Author : Arnold F. Nikiforov
language : en
Publisher:
Release Date : 1988
Special Functions Of Mathematical Physics written by Arnold F. Nikiforov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with Science categories.
Special Functions Of Mathematical Physics
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Author : Kyle A. Novak
language : en
Publisher:
Release Date : 2019
Special Functions Of Mathematical Physics written by Kyle A. Novak and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Mathematical physics categories.
Strum a guitar. Bang a drum. The sound of one is a combination of sine functions and the other a combination of Bessel functions. While every scientist and engineer knows the sine function, not as many are familiar with Bessel functions or the broader class of special functions that frequently arise in mathematical physics. This book provides a guided tour through the important special functions and develops the mathematical tools and intuition for working with them.
Special Functions
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Author : George E. Andrews
language : en
Publisher: Cambridge University Press
Release Date : 1999
Special Functions written by George E. Andrews and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with Mathematics categories.
An overview of special functions, focusing on the hypergeometric functions and the associated hypergeometric series.
Special Functions Their Applications
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Author : N. N. Lebedev
language : en
Publisher: Courier Corporation
Release Date : 2012-04-30
Special Functions Their Applications written by N. N. Lebedev and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-30 with Mathematics categories.
Famous Russian work discusses the application of cylinder functions and spherical harmonics; gamma function; probability integral and related functions; Airy functions; hyper-geometric functions; more. Translated by Richard Silverman.
Special Functions Of Mathematical Geo Physics
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Author : Willi Freeden
language : en
Publisher:
Release Date : 2013-03-31
Special Functions Of Mathematical Geo Physics written by Willi Freeden and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-31 with categories.
The topics covered in this inclusive text on geomathematics vary according to their measurement parameters and field characteristics, combining to provide mathematicians, physicists, and geoscientists with a potent special functions toolkit in problem-solving.