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Book Hypergeometric and Legendre Functions  with Applications to Integral Equations of Potential Theory  Chester Snow   Foreword by J  H  Curtiss  2nd Edition

Download or read book Hypergeometric and Legendre Functions with Applications to Integral Equations of Potential Theory Chester Snow Foreword by J H Curtiss 2nd Edition written by Chester Snow and published by . This book was released on 1952 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Hypergeometric Functions and Their Applications

Download or read book Hypergeometric Functions and Their Applications written by James B. Seaborn and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the clas sical techniques of applied mathematics. This renewal of interest, both in research and teaching, has led to the establishment of the series: Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathe matical Sciences (AMS) series, which will focus on advanced textbooks and research level monographs. Preface A wide range of problems exists in classical and quantum physics, engi neering, and applied mathematics in which special functions arise. The procedure followed in most texts on these topics (e. g. , quantum mechanics, electrodynamics, modern physics, classical mechanics, etc. ) is to formu late the problem as a differential equation that is related to one of several special differential equations (Hermite's, Bessel's, Laguerre's, Legendre's, etc. ).

Book Journal of Research of the National Bureau of Standards

Download or read book Journal of Research of the National Bureau of Standards written by United States. National Bureau of Standards and published by . This book was released on 1943 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Journal of Research of the National Bureau of Standards

Download or read book Journal of Research of the National Bureau of Standards written by and published by . This book was released on 1943 with total page 966 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book The Functions of Mathematical Physics

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.

Book The Special Functions and Their Approximations

Download or read book The Special Functions and Their Approximations written by Yudell L. Luke and published by Academic Press. This book was released on 1969 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: A detailed and self-contained and unified treatment of many mathematical functions which arise in applied problems, as well as the attendant mathematical theory for their approximations. many common features of the Bessel functions, Legendre functions, incomplete gamma functions, confluent hypergeometric functions, as well as of otherw, can be derived. Hitherto, many of the material upon which the volumes are based has been available only in papers scattered throughout the literature.

Book Special Functions and Their Approximations  v  2

Download or read book Special Functions and Their Approximations v 2 written by Yudell L. Luke and published by Academic Press. This book was released on 1969 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: Special Functions and Their Approximations: v. 2

Book Elektrische Felder und Wellen   Electric Fields and Waves

Download or read book Elektrische Felder und Wellen Electric Fields and Waves written by G. Wendt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 760 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Projects and Publications

    Book Details:
  • Author : United States. National Bureau of Standards. National Applied Mathematics Laboratories
  • Publisher :
  • Release : 1949
  • ISBN :
  • Pages : 650 pages

Download or read book Projects and Publications written by United States. National Bureau of Standards. National Applied Mathematics Laboratories and published by . This book was released on 1949 with total page 650 pages. Available in PDF, EPUB and Kindle. Book excerpt: