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Librería: Forgotten Books, London, Reino Unido
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Añadir al carritoPaperback. Condición: New. Print on Demand. This enlightening volume ventures into the mathematical realm of the integral, diving deep into its evaluation in terms of distributions, chiefly delta functions and step functions. The author adeptly demonstrates how the behavior of this integral varies significantly depending on whether the parameters are even or odd. By expressing the integral in terms of step functions, Legendre polynomials, and Legendre functions of the second kind, the author unravels the intricacies of both convergent and non-convergent integrals involving Bessel functions. The profound insights presented in this book shed new light on the nature of these integrals, advancing our understanding of a fundamental mathematical concept with far-reaching applications in physics and engineering. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.
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Añadir al carritoPaperback. Condición: New. Print on Demand. This book delves into the fascinating realm of arbitrary-precision arithmetic, offering a deep dive into the development and implementation of a FORTRAN program designed to perform calculations with an impressive level of accuracy. The author, a physicist, recognised the limitations of standard computer arithmetic in scientific problems where significant digits can be lost due to cancellations. Set against the backdrop of the 1970s, when computational power was rapidly evolving, this work addresses the need for more robust numerical methods in physics and applied mathematics. The book meticulously details the structure of the program, explaining the representation of numbers, the storage of digits in arrays, and the algorithms for performing arithmetic operations like addition, subtraction, multiplication, and division. Beyond the technical intricacies, the author explores the broader implications of arbitrary-precision arithmetic. The ability to calculate with a large number of digits opened doors to tackling complex problems in various scientific disciplines and provided a means to verify the accuracy of existing computational routines. This book serves as a testament to the ingenuity of mathematicians and physicists in pushing the boundaries of numerical computation, ultimately contributing to a deeper understanding of the physical world. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.
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Añadir al carritoPaperback. Condición: New. Print on Demand. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item.
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Añadir al carritoCondición: New. KlappentextrnrnExcerpt from On the Evaluation of the IntegralE 8 odd are given in (53) and (56) and in (69) and respectively. II. Derivation of integrals for k k About the PublisherForgotten Books publishes hundreds of t.
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Añadir al carritoCondición: New. pp. 180 Softcover reprint of the original 1st ed. 2016 edition NO-PA16APR2015-KAP.
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Añadir al carritoHardcover. Condición: Brand New. 180 pages. 9.25x6.25x0.75 inches. In Stock.
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Añadir al carritoHardcover. Condición: As New. Leichte Kratzer / Abnutzungen / Druckstellen. Focusing on the methods of solving linear differential and difference equations, this book offers a thorough comparison of techniques such as variation of constants, reduction of order, and Laplace transforms. It examines equations of arbitrary order, particularly first and second order, and highlights differences in solutions based on coefficients. The text includes a detailed analysis of Green's functions, initial and boundary conditions, and features a unique dictionary of difference equations. Appendices provide proofs and derivations essential for understanding these mathematical concepts.
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Idioma: Inglés
Publicado por Springer International Publishing, Springer International Publishing, 2018
ISBN 10: 3319806394 ISBN 13: 9783319806396
Librería: AHA-BUCH GmbH, Einbeck, Alemania
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Añadir al carritoTaschenbuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book, intended for researchers andgraduate students in physics, applied mathematics and engineering, presents adetailed comparison of the important methods of solution for lineardifferential and difference equations - variation of constants, reduction oforder, Laplace transforms and generating functions - bringing out thesimilarities as well as the significant differences in the respective analyses.Equations of arbitrary order are studied, followed by a detailed analysis forequations of first and second order. Equations with polynomial coefficients areconsidered and explicit solutions for equations with linear coefficients aregiven, showing significant differences in the functional form of solutions ofdifferential equations from those of difference equations. An alternativemethod of solution involving transformation of both the dependent andindependent variables is given for both differential and difference equations.A comprehensive, detailed treatment of Green's functions and the associatedinitial and boundary conditions is presented for differential and differenceequations of both arbitrary and second order. A dictionary of differenceequations with polynomial coefficients provides a unique compilation of secondorder difference equations obeyed by the special functions of mathematicalphysics. Appendices augmenting the text include, in particular, a proof ofCramer's rule, a detailed consideration of the role of the superpositionprincipal in the Green's function, and a derivation of the inverse of Laplacetransforms and generating functions of particular use in the solution of secondorder linear differential and difference equations with linear coefficients.
Idioma: Inglés
Publicado por Springer International Publishing, Springer International Publishing, 2016
ISBN 10: 331929735X ISBN 13: 9783319297354
Librería: AHA-BUCH GmbH, Einbeck, Alemania
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Añadir al carritoBuch. Condición: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book, intended for researchers andgraduate students in physics, applied mathematics and engineering, presents adetailed comparison of the important methods of solution for lineardifferential and difference equations - variation of constants, reduction oforder, Laplace transforms and generating functions - bringing out thesimilarities as well as the significant differences in the respective analyses.Equations of arbitrary order are studied, followed by a detailed analysis forequations of first and second order. Equations with polynomial coefficients areconsidered and explicit solutions for equations with linear coefficients aregiven, showing significant differences in the functional form of solutions ofdifferential equations from those of difference equations. An alternativemethod of solution involving transformation of both the dependent andindependent variables is given for both differential and difference equations.A comprehensive, detailed treatment of Green's functions and the associatedinitial and boundary conditions is presented for differential and differenceequations of both arbitrary and second order. A dictionary of differenceequations with polynomial coefficients provides a unique compilation of secondorder difference equations obeyed by the special functions of mathematicalphysics. Appendices augmenting the text include, in particular, a proof ofCramer's rule, a detailed consideration of the role of the superpositionprincipal in the Green's function, and a derivation of the inverse of Laplacetransforms and generating functions of particular use in the solution of secondorder linear differential and difference equations with linear coefficients.
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Añadir al carritoTaschenbuch. Condición: Neu. Differential and Difference Equations | A Comparison of Methods of Solution | Leonard C. Maximon | Taschenbuch | xv | Englisch | 2018 | Springer | EAN 9783319806396 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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