Formulas And Theorems For The Special Functions Of Mathematical Physics

Author : Wilhelm Magnus
Publisher : Springer Science & Business Media
ISBN 13 : 3662117614
Total Pages : 516 pages
Book Rating : 4.13/5 ( download)

DOWNLOAD NOW!

Download or read book Formulas and Theorems for the Special Functions of Mathematical Physics written by Wilhelm Magnus and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Much of the material (part of it unpublished) did not appear in the earlier editions.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.

Author : Nico M. Temme
Publisher : John Wiley & Sons
ISBN 13 : 9780471113133
Total Pages : 398 pages
Book Rating : 4.31/5 ( download)

DOWNLOAD NOW!

Download or read book Special Functions written by Nico M. Temme and published by John Wiley & Sons. This book was released on 1996-02-22 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Wilhelm Magnus
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.40/5 ( download)

DOWNLOAD NOW!

Download or read book Formulas and Theorems for the Special Functions of Mathematical Physics written by Wilhelm Magnus and published by . This book was released on 1966 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Harry Hochstadt
Publisher : Courier Corporation
ISBN 13 : 0486168786
Total Pages : 354 pages
Book Rating : 4.84/5 ( download)

DOWNLOAD NOW!

Download or read book The Functions of Mathematical Physics written by Harry Hochstadt and published by Courier Corporation. This book was released on 2012-04-30 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Wilhelm Magnus
Publisher :
ISBN 13 :
Total Pages : 194 pages
Book Rating : 4.81/5 ( download)

DOWNLOAD NOW!

Download or read book Formulas and Theorems for the Special Functions of Mathematical Physics, by Wilhelm Magnus and Fritz Oberhettinger ; Tr. from the German by John Werner written by Wilhelm Magnus and published by . This book was released on 1949 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Hans J. Weber
Publisher : Academic Press
ISBN 13 : 0120598779
Total Pages : 960 pages
Book Rating : 4.79/5 ( download)

DOWNLOAD NOW!

Download or read book Essential Mathematical Methods for Physicists, ISE written by Hans J. Weber and published by Academic Press. This book was released on 2004 with total page 960 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new adaptation of Arfken and Weber's best-selling Mathematical Methods for Physicists, fifth edition, is the most modern collection of mathematical principles for solving physics problems.

Author : NIKIFOROV
Publisher : Springer Science & Business Media
ISBN 13 : 1475715951
Total Pages : 443 pages
Book Rating : 4.58/5 ( download)

DOWNLOAD NOW!

Download or read book Special Functions of Mathematical Physics written by NIKIFOROV and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Victor Henner
Publisher : CRC Press
ISBN 13 : 1439865167
Total Pages : 859 pages
Book Rating : 4.63/5 ( download)

DOWNLOAD NOW!

Download or read book Mathematical Methods in Physics written by Victor Henner and published by CRC Press. This book was released on 2009-06-18 with total page 859 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a text on partial differential equations (PDEs) of mathematical physics and boundary value problems, trigonometric Fourier series, and special functions. This is the core content of many courses in the fields of engineering, physics, mathematics, and applied mathematics. The accompanying software provides a laboratory environment that

Author : Vasiliĭ I︠A︡kovlevich Arsenin
Publisher :
ISBN 13 :
Total Pages : 380 pages
Book Rating : 4.74/5 ( download)

DOWNLOAD NOW!

Download or read book Basic Equations and Special Functions of Mathematical Physics written by Vasiliĭ I︠A︡kovlevich Arsenin and published by . This book was released on 1968 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : A. S. Demidov
Publisher : Nova Publishers
ISBN 13 : 9781560729051
Total Pages : 154 pages
Book Rating : 4.58/5 ( download)

DOWNLOAD NOW!

Download or read book Generalized Functions in Mathematical Physics written by A. S. Demidov and published by Nova Publishers. This book was released on 2001 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This important book gives an interconnected presentation of some basic ideas, concepts, results of the theory of generalised functions (first of all, in the framework of the theory of distributions) and equations of mathematical physics. A part of the material is given according to the scheme: definition -- theorem -- proof. This scheme is convenient for presenting results in clear and concentrated form. However, it seems reasonable to give a student the possibility not only to study a priori given definitions and proofs of theorems, but also to discover them while considering the problems involved. A series of sections serve this purpose. Moreover, a part of the material is given as exercises and problems.