Airy Functions And Applications To Physics
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Airy Functions And Applications To Physics
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Author : Olivier Vallée
language : en
Publisher: World Scientific Publishing Company
Release Date : 2004-09-13
Airy Functions And Applications To Physics written by Olivier Vallée and has been published by World Scientific Publishing Company this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-09-13 with Science categories.
The use of special functions, and in particular Airy functions, is rather common in physics. The reason may be found in the need, and even in the necessity, to express a physical phenomenon in terms of an effective and comprehensive analytical form for the whole scientific community. However, for the past twenty years, many physical problems have been resolved by computers. This trend is now becoming the norm as the importance of computers continues to grow. As a last resort, the special functions employed in physics will have to be calculated numerically, even if the analytic formulation of physics is of primary importance. Airy functions have periodically been the subject of many review articles, but no noteworthy compilation on this subject has been published since the 1950s. In this work, we provide an exhaustive compilation of the current knowledge on the analytical properties of Airy functions, developing with care the calculus implying the Airy functions. The book is divided into 2 parts: the first is devoted to the mathematical properties of Airy functions, whilst the second presents some applications of Airy functions to various fields of physics. The examples provided succinctly illustrate the use of Airy functions in classical and quantum physics. Contents:A Historical Introduction: Sir George Biddell AiryDefinitions and PropertiesPrimitives and Integrals of Airy FunctionsTransformations of Airy FunctionsThe Uniform ApproximationGeneralisation of Airy FunctionsApplications to Classical PhysicsApplications to Quantum Physics Readership: Physicists or chemical physicists who use closed and analytical formulae in their field, graduate students in physics and chemical physics.
Airy Functions And Applications To Physics 2nd Edition
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Author :
language : en
Publisher: World Scientific
Release Date : 2010
Airy Functions And Applications To Physics 2nd Edition written by and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Airy functions categories.
"Addressed mainly to physicist and chemical physicist, this textbook is the result of a broad compilation of current knowledge on analytical properties of Airy functions. In particular, the calculus implying the Airy functions is developed with care. In the latter chapters, examples are given to succinctly illustrate the use of Airy functions in classical and quantum physics. The physicist, for instance in fluid mechanics, can find what he is looking for, in the references for works of molecular physics or in physics of surfaces, and vice versa."--Publisher's website
Special Functions And Their Applications
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Author : Nikola? Nikolaevich Lebedev
language : en
Publisher: Courier Corporation
Release Date : 1972-01-01
Special Functions And Their Applications written by Nikola? Nikolaevich 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 1972-01-01 with Mathematics categories.
The Russian mathematician views the theoretical and practical aspects of special functions and illustrates their significance in problem solving in physics and engineering
Mathematical Analysis Approximation Theory And Their Applications
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Author : Themistocles M. Rassias
language : en
Publisher: Springer
Release Date : 2016-06-03
Mathematical Analysis Approximation Theory And Their Applications written by Themistocles M. Rassias and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-06-03 with Mathematics categories.
Designed for graduate students, researchers, and engineers in mathematics, optimization, and economics, this self-contained volume presents theory, methods, and applications in mathematical analysis and approximation theory. Specific topics include: approximation of functions by linear positive operators with applications to computer aided geometric design, numerical analysis, optimization theory, and solutions of differential equations. Recent and significant developments in approximation theory, special functions and q-calculus along with their applications to mathematics, engineering, and social sciences are discussed and analyzed. Each chapter enriches the understanding of current research problems and theories in pure and applied research.
Special Functions In Physics With Matlab
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Author : Wolfgang Schweizer
language : en
Publisher: Springer
Release Date : 2021-02-19
Special Functions In Physics With Matlab written by Wolfgang Schweizer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-02-19 with Science categories.
This handbook focuses on special functions in physics in the real and complex domain. It covers more than 170 different functions with additional numerical hints for efficient computation, which are useful to anyone who needs to program with other programming languages as well. The book comes with MATLAB-based programs for each of these functions and a detailed html-based documentation. Some of the explained functions are: Gamma and Beta functions; Legendre functions, which are linked to quantum mechanics and electrodynamics; Bessel functions; hypergeometric functions, which play an important role in mathematical physics; orthogonal polynomials, which are largely used in computational physics; and Riemann zeta functions, which play an important role, e.g., in quantum chaos or string theory. The book’s primary audience are scientists, professionals working in research areas of industries, and advanced students in physics, applied mathematics, and engineering.
Nist Handbook Of Mathematical Functions Hardback And Cd Rom
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Author : Frank W. J. Olver
language : en
Publisher: Cambridge University Press
Release Date : 2010-05-17
Nist Handbook Of Mathematical Functions Hardback And Cd Rom written by Frank W. J. Olver 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 2010-05-17 with Mathematics categories.
The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.
Special Functions And Orthogonal Polynomials
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Author : Diego Dominici
language : en
Publisher: American Mathematical Soc.
Release Date : 2008
Special Functions And Orthogonal Polynomials written by Diego Dominici and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
"This volume contains fourteen articles that represent the AMS Special Session on Special Functions and Orthogonal Polynomials, held in Tucson, Arizona in April of 2007. It gives an overview of the modern field of special functions with all major subfields represented, including: applications to algebraic geometry, asymptotic analysis, conformal mapping, differential equations, elliptic functions, fractional calculus, hypergeometric and q-hypergeometric series, nonlinear waves, number theory, symbolic and numerical evaluation of integrals, and theta functions. A few articles are expository, with extensive bibliographies, but all contain original research." "This book is intended for pure and applied mathematicians who are interested in recent developments in the theory of special functions. It covers a wide range of active areas of research and demonstrates the vitality of the field."--BOOK JACKET.
Introduction To Perturbation Methods
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Author : Mark H. Holmes
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-05
Introduction To Perturbation Methods written by Mark H. Holmes 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 2012-12-05 with Mathematics categories.
This introductory graduate text is based on a graduate course the author has taught repeatedly over the last ten years to students in applied mathematics, engineering sciences, and physics. Each chapter begins with an introductory development involving ordinary differential equations, and goes on to cover such traditional topics as boundary layers and multiple scales. However, it also contains material arising from current research interest, including homogenisation, slender body theory, symbolic computing, and discrete equations. Many of the excellent exercises are derived from problems of up-to-date research and are drawn from a wide range of application areas. One hundred new pages added including new material on transcedentally small terms, Kummer's function, weakly coupled oscillators and wave interactions.
Special Functions For Optical Science And Engineering
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Author : Vasudevan Lakshminarayanan
language : en
Publisher: SPIE-International Society for Optical Engineering
Release Date : 2015
Special Functions For Optical Science And Engineering written by Vasudevan Lakshminarayanan and has been published by SPIE-International Society for Optical Engineering this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015 with Optical engineering categories.
This tutorial text is for those who use special functions in their work or study but are not mathematicians. Traditionally, special functions arise as solutions to certain linear second-order differential equations with variable coefficients. This book introduces these differential equations, their solutions, and their applications in optical science and engineering.
Dimensional Analysis Across The Landscape Of Physics
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Author : Richard W. Robinett
language : en
Publisher: Oxford University Press
Release Date : 2025-01-20
Dimensional Analysis Across The Landscape Of Physics written by Richard W. Robinett and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-01-20 with Science categories.
Aimed at students throughout the undergraduate Physics curriculum, this textbook emphasizes the utility of dimensional analysis techniques in research applications, with examples ranging from famous papers in the historical literature to recent advances, and includes an extensive array of worked examples and end-of-chapter problems.