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Applied partial differential equations /
This textbook is for the standard, one-semester, junior-senior course that often goes by the title "Elementary Partial Differential Equations" or "Boundary Value Problems". The audience consists of students in mathematics, engineering, and the physical sciences. The topics includ...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
New York :
Springer,
©1998.
|
| Colección: | Undergraduate texts in mathematics.
|
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 003 | OCoLC | ||
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| 010 | |z 97048861 | ||
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| 100 | 1 | |a Logan, J. David |q (John David) |1 https://id.oclc.org/worldcat/entity/E39PBJfX6CTw7wPThgtmWJrQbd | |
| 245 | 1 | 0 | |a Applied partial differential equations / |c J. David Logan. |
| 260 | |a New York : |b Springer, |c ©1998. | ||
| 300 | |a 1 online resource (xii, 181 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file | ||
| 347 | |b PDF | ||
| 490 | 1 | |a Undergraduate texts in mathematics | |
| 504 | |a Includes bibliographical references (pages 177-178) and index. | ||
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2010. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2010 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 520 | |a This textbook is for the standard, one-semester, junior-senior course that often goes by the title "Elementary Partial Differential Equations" or "Boundary Value Problems". The audience consists of students in mathematics, engineering, and the physical sciences. The topics include derivations of some of the standard equations of mathematical physics (e.g., the heat equation, the wave equation, and Laplace's equation) and methods for solving those equations on bounded and unbounded domains (including transform methods and eigenfunction expansions). Prerequisites include multivariable calculus and post- calculus differential equations course. The text differs from other texts in that it is a brief treatment (about 200 pages); yet it provides coverage of the main topics usually studied in the standard course as well as an introduction to using computer algebra packages to solve and understand partial differential equations. The writing has an engineering and science style to it rather than a traditional, mathematical, theorem-proof format. The exercises encourage students to think about the concepts and derivations. The student who reads this book carefully and solves most of the exercises will have a sound enough knowledge base to continue with a second-year partial differential equations course where careful proofs are constructed or upper division courses in science and in egineering where detailed applications of partial differential equations are introduced | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a 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. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Differential equations, Partial. | |
| 650 | 6 | |a Équations aux dérivées partielles. | |
| 650 | 7 | |a Ecuaciones en derivadas parciales |2 embne | |
| 650 | 7 | |a Differential equations, Partial |2 fast | |
| 650 | 7 | |a Partielle Differentialgleichung |2 gnd | |
| 650 | 7 | |a Equacoes diferenciais parciais. |2 larpcal | |
| 758 | |i has work: |a Applied partial differential equations (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGh4Jb6c8bx6QCgQVRm883 |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Logan, J. David (John David). |t Applied partial differential equations. |d New York : Springer, ©1998 |w (DLC) 97048861 |w (OCoLC)38055920 |
| 830 | 0 | |a Undergraduate texts in mathematics. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3083439 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL3083439 | ||
| 938 | |a YBP Library Services |b YANK |n 13356755 | ||
| 938 | |a Internet Archive |b INAR |n isbn_9780387984414 | ||
| 994 | |a 92 |b IZTAP | ||