Applied Partial Differential Equations (Undergraduate Texts in Mathematics) - Taschenbuch

EAN (ISBN-13): 9780387984391
ISBN (ISBN-10): 0387984399
Taschenbuch
Erscheinungsjahr: 1998
Herausgeber: Springer

Buch in der Datenbank seit 2008-05-13T11:36:06+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-03-15T12:17:43+01:00 (Berlin)
ISBN/EAN: 0387984399

ISBN - alternative Schreibweisen:
0-387-98439-9, 978-0-387-98439-1
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: david, logan
Titel des Buches: applied partial differential equations, partial differential equations and

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Daten vom Verlag:

Autor/in: J. David Logan
Titel: Undergraduate Texts in Mathematics; Applied Partial Differential Equations
Verlag: Springer; Springer US
181 Seiten
Erscheinungsjahr: 1998-06-19
New York; NY; US
Gewicht: 0,311 kg
Sprache: Englisch
85,55 € (DE)
87,95 € (AT)
106,60 CHF (CH)
Not available, publisher indicates OP

BC; Book; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Boundary value problem; Fourier series; ordinary differential equation; differential equation; wave equation; calculus; partial differential equation; Laplace's equation; C; Analysis; Mathematics and Statistics; BC; BB; EA

1: The Physical Origins of Partial Differential Equations.- 1.1 Mathematical Models.- 1.2 Conservation Laws.- 1.3 Diffusion.- 1.4 Contaminant Transport in Aquifers*.- 1.5 Vibrations of a String.- 1.6 Quantum Mechanics*.- 1.7 Heat Flow in Three Dimensions.- 1.8 Laplace’s Equation.- 1.9 Acoustics*.- 1.10 Classification of PDEs.- 2: Partial Differential Equations on Unbounded Domains.- 2.1 Cauchy Problem for the Heat Equation.- 2.2 Cauchy Problem for the Wave Equation.- 2.3 Ill-Posed Problems.- 2.4 Semi-Infinite Domains.- 2.5 Sources and Duhamel’s Principle.- 2.6 Laplace Transforms.- 2.7 Fourier Transforms.- 2.8 Solving PDEs Using Computer Algebra Packages.- 3: Orthogonal Expansions.- 3.1 The Fourier Method.- 3.2 Orthogonal Expansions.- 3.3 Classical Fourier Series.- 3.4 Sturm-Liouville Problems.- 4: Partial Differential Equations on Bounded Domains.- 4.1 Separation of Variables.- 4.2 Flux and Radiation Conditions.- 4.3 Laplace’s Equation.- 4.4 Cooling of a Sphere.- 4.5 Diffusion in a Disk.- 4.6 Sources on Bounded Domains.- 4.7 Parameter Identification Problems*.- 4.8 Finite Difference Methods*.- Appendix: Ordinary Differential Equations.- Table of Laplace Transforms.- References.
This text is written for the standard, one-semester, undergraduate course in elementary partial differential equations. The topics include derivations of some of the standard equations of mathematical physics (including the heat equation, the wave equation, and Laplace's equation) and methods for solving those equations on bounded and unbounded domains. Methods include eigenfunction expansions, or separation of variables, and methods based on Fourier and Laplace transforms.