Fourier analysis and boundary value problems:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
San Diego
Academic Pres
c1995
|
Schlagworte: | |
Online-Zugang: | FAW01 FAW02 Volltext |
Beschreibung: | Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the book. Written from a historical perspective with extensive biographical coverage of pioneers in the field, the book emphasizes the important role played by partial differential equations in engineering and physics. In addition, the author demonstrates how efforts to deal with these problems have lead to wonderfully significant developments in mathematics. A clear and complete text with more than 500 exercises, Fourier Analysis and Boundary Value Problems is a good introduction and a valuable resource for those in the field. Key Features * Topics are covered from a historical perspective with biographical information on key contributors to the field * The text contains more than 500 exercises * Includes practical applications of the equations to problems in both engineering and physics A Heated Discussion. Fourier Series. Return to the Heated Bar. Generalized Fourier Series. The Wave Equation. Orthogonal Systems. Fourier Transforms. Laplace Transforms. Boundary Value Problems in Higher Dimensions. Boundary Value Problems with Circular Symmetry. Boundary Value Problems with Spherical Symmetry. Uniform Convergence. Improper Integrals. Tables of Fourier and Laplace Transforms. Historical Bibliography. Index Includes bibliographical references (p. 539-542) and index |
Beschreibung: | 1 Online-Ressource (xi, 551 p.) |
ISBN: | 0080531938 0122896408 9780080531939 9780122896408 |
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500 | |a Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the book. Written from a historical perspective with extensive biographical coverage of pioneers in the field, the book emphasizes the important role played by partial differential equations in engineering and physics. In addition, the author demonstrates how efforts to deal with these problems have lead to wonderfully significant developments in mathematics. A clear and complete text with more than 500 exercises, Fourier Analysis and Boundary Value Problems is a good introduction and a valuable resource for those in the field. Key Features * Topics are covered from a historical perspective with biographical information on key contributors to the field * The text contains more than 500 exercises * Includes practical applications of the equations to problems in both engineering and physics | ||
500 | |a A Heated Discussion. Fourier Series. Return to the Heated Bar. Generalized Fourier Series. The Wave Equation. Orthogonal Systems. Fourier Transforms. Laplace Transforms. Boundary Value Problems in Higher Dimensions. Boundary Value Problems with Circular Symmetry. Boundary Value Problems with Spherical Symmetry. Uniform Convergence. Improper Integrals. Tables of Fourier and Laplace Transforms. Historical Bibliography. Index | ||
500 | |a Includes bibliographical references (p. 539-542) and index | ||
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Datensatz im Suchindex
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any_adam_object | |
author | González-Velasco, Enrique A. |
author_facet | González-Velasco, Enrique A. |
author_role | aut |
author_sort | González-Velasco, Enrique A. |
author_variant | e a g v eag eagv |
building | Verbundindex |
bvnumber | BV043044811 |
collection | ZDB-4-EBA |
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dewey-full | 515/.353 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515/.353 |
dewey-search | 515/.353 |
dewey-sort | 3515 3353 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Electronic eBook |
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id | DE-604.BV043044811 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T07:15:51Z |
institution | BVB |
isbn | 0080531938 0122896408 9780080531939 9780122896408 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028469349 |
oclc_num | 162128504 |
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owner | DE-1046 DE-1047 |
owner_facet | DE-1046 DE-1047 |
physical | 1 Online-Ressource (xi, 551 p.) |
psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
publishDate | 1995 |
publishDateSearch | 1995 |
publishDateSort | 1995 |
publisher | Academic Pres |
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spelling | González-Velasco, Enrique A. Verfasser aut Fourier analysis and boundary value problems by Enrique A. González-Velasco San Diego Academic Pres c1995 1 Online-Ressource (xi, 551 p.) txt rdacontent c rdamedia cr rdacarrier Fourier Analysis and Boundary Value Problems provides a thorough examination of both the theory and applications of partial differential equations and the Fourier and Laplace methods for their solutions. Boundary value problems, including the heat and wave equations, are integrated throughout the book. Written from a historical perspective with extensive biographical coverage of pioneers in the field, the book emphasizes the important role played by partial differential equations in engineering and physics. In addition, the author demonstrates how efforts to deal with these problems have lead to wonderfully significant developments in mathematics. A clear and complete text with more than 500 exercises, Fourier Analysis and Boundary Value Problems is a good introduction and a valuable resource for those in the field. Key Features * Topics are covered from a historical perspective with biographical information on key contributors to the field * The text contains more than 500 exercises * Includes practical applications of the equations to problems in both engineering and physics A Heated Discussion. Fourier Series. Return to the Heated Bar. Generalized Fourier Series. The Wave Equation. Orthogonal Systems. Fourier Transforms. Laplace Transforms. Boundary Value Problems in Higher Dimensions. Boundary Value Problems with Circular Symmetry. Boundary Value Problems with Spherical Symmetry. Uniform Convergence. Improper Integrals. Tables of Fourier and Laplace Transforms. Historical Bibliography. Index Includes bibliographical references (p. 539-542) and index MATHEMATICS / Differential Equations / Partial bisacsh Boundary value problems / Numerical solutions fast Fourier analysis fast Fourier analysis Boundary value problems Numerical solutions Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Harmonische Analyse (DE-588)4023453-8 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Fourier-Transformation (DE-588)4018014-1 gnd rswk-swf Fourier-Transformation (DE-588)4018014-1 s 1\p DE-604 Randwertproblem (DE-588)4048395-2 s 2\p DE-604 Harmonische Analyse (DE-588)4023453-8 s 3\p DE-604 Partielle Differentialgleichung (DE-588)4044779-0 s 4\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=205624 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | González-Velasco, Enrique A. Fourier analysis and boundary value problems MATHEMATICS / Differential Equations / Partial bisacsh Boundary value problems / Numerical solutions fast Fourier analysis fast Fourier analysis Boundary value problems Numerical solutions Partielle Differentialgleichung (DE-588)4044779-0 gnd Harmonische Analyse (DE-588)4023453-8 gnd Randwertproblem (DE-588)4048395-2 gnd Fourier-Transformation (DE-588)4018014-1 gnd |
subject_GND | (DE-588)4044779-0 (DE-588)4023453-8 (DE-588)4048395-2 (DE-588)4018014-1 |
title | Fourier analysis and boundary value problems |
title_auth | Fourier analysis and boundary value problems |
title_exact_search | Fourier analysis and boundary value problems |
title_full | Fourier analysis and boundary value problems by Enrique A. González-Velasco |
title_fullStr | Fourier analysis and boundary value problems by Enrique A. González-Velasco |
title_full_unstemmed | Fourier analysis and boundary value problems by Enrique A. González-Velasco |
title_short | Fourier analysis and boundary value problems |
title_sort | fourier analysis and boundary value problems |
topic | MATHEMATICS / Differential Equations / Partial bisacsh Boundary value problems / Numerical solutions fast Fourier analysis fast Fourier analysis Boundary value problems Numerical solutions Partielle Differentialgleichung (DE-588)4044779-0 gnd Harmonische Analyse (DE-588)4023453-8 gnd Randwertproblem (DE-588)4048395-2 gnd Fourier-Transformation (DE-588)4018014-1 gnd |
topic_facet | MATHEMATICS / Differential Equations / Partial Boundary value problems / Numerical solutions Fourier analysis Boundary value problems Numerical solutions Partielle Differentialgleichung Harmonische Analyse Randwertproblem Fourier-Transformation |
url | http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=205624 |
work_keys_str_mv | AT gonzalezvelascoenriquea fourieranalysisandboundaryvalueproblems |