Mathematics for the physical sciences / / Leslie Copley; managing editor, Paulina Leśna-Szreter.
The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity...
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Place / Publishing House: | Warsaw, [Poland] ;, Berlin, [Germany] : : De Gruyter Open,, 2014. ©2014 |
Year of Publication: | 2014 |
Edition: | 1st ed. |
Language: | English |
Physical Description: | 1 online resource (445 pages) :; illustrations |
Notes: | Bibliographic Level Mode of Issuance: Monograph |
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Copley, Leslie, author. Mathematics for the physical sciences / Leslie Copley; managing editor, Paulina Leśna-Szreter. 1st ed. De Gruyter 2014 Warsaw, [Poland] ; Berlin, [Germany] : De Gruyter Open, 2014. ©2014 1 online resource (445 pages) : illustrations text txt computer c online resource cr Bibliographic Level Mode of Issuance: Monograph English This eBook is made available Open Access. Unless otherwise specified individually in the content, the work is licensed under the Creative Commons Attribution-Non Commercial-No Derivatives (CC BY-NC-ND) license: https://creativecommons.org/licenses/by-nc-nd/3.0 https://www.degruyter.com/dg/page/open-access-policy The book begins with a thorough introduction to complex analysis, which is then used to understand the properties of ordinary differential equations and their solutions. The latter are obtained in both series and integral representations. Integral transforms are introduced, providing an opportunity to complement complex analysis with techniques that flow from an algebraic approach. This moves naturally into a discussion of eigenvalue and boundary vale problems. A thorough discussion of multi-dimensional boundary value problems then introduces the reader to the fundamental partial differential equations and "special functions" of mathematical physics. Moving to non-homogeneous boundary value problems the reader is presented with an analysis of Green's functions from both analytical and algebraic points of view. This leads to a concluding chapter on integral equations. Front matter -- Contents -- Foreword -- 1 Functions of a Complex Variable -- 2 Cauchy's Theorem -- 3 The Calculus of Residues -- 4 Dispersion Representations -- 5 Analytic Continuation -- 6 Asymptotic Expansions -- 7 Padé Approximants -- 8 Fourier Series and Transforms -- 9 Ordinary Linear Differential Equations -- 10 Partial Differential Equations and Boundary Value Problems -- 11 Special Functions -- 12 Non-Homogeneous Boundary Value Problems: Green's Functions -- 13 Integral Equations -- Bibliography Includes bibliographical references. Description based on online resource; title from PDF title page (ebrary, viewed May 29, 2015). Mathematical physics. mathematical physics, boundary value problems. Paulina Leśna-Szreter, editor. 3-11-040945-3 |
language |
English |
format |
eBook |
author |
Copley, Leslie, |
spellingShingle |
Copley, Leslie, Mathematics for the physical sciences / Front matter -- Contents -- Foreword -- 1 Functions of a Complex Variable -- 2 Cauchy's Theorem -- 3 The Calculus of Residues -- 4 Dispersion Representations -- 5 Analytic Continuation -- 6 Asymptotic Expansions -- 7 Padé Approximants -- 8 Fourier Series and Transforms -- 9 Ordinary Linear Differential Equations -- 10 Partial Differential Equations and Boundary Value Problems -- 11 Special Functions -- 12 Non-Homogeneous Boundary Value Problems: Green's Functions -- 13 Integral Equations -- Bibliography |
author_facet |
Copley, Leslie, Paulina Leśna-Szreter, |
author_variant |
l c lc |
author_role |
VerfasserIn |
author2 |
Paulina Leśna-Szreter, |
author2_variant |
p l s pls |
author2_role |
TeilnehmendeR |
author_sort |
Copley, Leslie, |
title |
Mathematics for the physical sciences / |
title_full |
Mathematics for the physical sciences / Leslie Copley; managing editor, Paulina Leśna-Szreter. |
title_fullStr |
Mathematics for the physical sciences / Leslie Copley; managing editor, Paulina Leśna-Szreter. |
title_full_unstemmed |
Mathematics for the physical sciences / Leslie Copley; managing editor, Paulina Leśna-Szreter. |
title_auth |
Mathematics for the physical sciences / |
title_alt |
Front matter -- Contents -- Foreword -- 1 Functions of a Complex Variable -- 2 Cauchy's Theorem -- 3 The Calculus of Residues -- 4 Dispersion Representations -- 5 Analytic Continuation -- 6 Asymptotic Expansions -- 7 Padé Approximants -- 8 Fourier Series and Transforms -- 9 Ordinary Linear Differential Equations -- 10 Partial Differential Equations and Boundary Value Problems -- 11 Special Functions -- 12 Non-Homogeneous Boundary Value Problems: Green's Functions -- 13 Integral Equations -- Bibliography |
title_new |
Mathematics for the physical sciences / |
title_sort |
mathematics for the physical sciences / |
publisher |
De Gruyter De Gruyter Open, |
publishDate |
2014 |
physical |
1 online resource (445 pages) : illustrations |
edition |
1st ed. |
contents |
Front matter -- Contents -- Foreword -- 1 Functions of a Complex Variable -- 2 Cauchy's Theorem -- 3 The Calculus of Residues -- 4 Dispersion Representations -- 5 Analytic Continuation -- 6 Asymptotic Expansions -- 7 Padé Approximants -- 8 Fourier Series and Transforms -- 9 Ordinary Linear Differential Equations -- 10 Partial Differential Equations and Boundary Value Problems -- 11 Special Functions -- 12 Non-Homogeneous Boundary Value Problems: Green's Functions -- 13 Integral Equations -- Bibliography |
isbn |
3-11-042624-2 3-11-040947-X 3-11-040945-3 |
callnumber-first |
Q - Science |
callnumber-subject |
QC - Physics |
callnumber-label |
QC20 |
callnumber-sort |
QC 220 C67 42014 |
illustrated |
Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
530 - Physics |
dewey-ones |
530 - Physics |
dewey-full |
530.15 |
dewey-sort |
3530.15 |
dewey-raw |
530.15 |
dewey-search |
530.15 |
oclc_num |
1013956286 954882664 939262778 |
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