Introduction to partial differential equations /:
A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics, and engineering. The presentation is lively and up to date, paying particular emphasis to developing an appreciation of underlying mathematical theor...
Gespeichert in:
| 1. Verfasser: | |
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| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York :
Cambridge University Press,
2005.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics, and engineering. The presentation is lively and up to date, paying particular emphasis to developing an appreciation of underlying mathematical theory. Beginning with basic definitions, properties, and derivations of some basic equations of mathematical physics from basic principles, the book studies first order equations, classification of second order equations, and the one-dimensional wave equation. Two chapters are devoted to the separation of variable, whilst others concentrate on a wide range of topics including elliptic theory, Green's functions, variational and numerical methods. A rich collection of worked examples and exercises accompany the text, along with a large number of illustrations and graphs to provide insight into the numerical examples. |
| Beschreibung: | 1 online resource (1 volume) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 0511111576 9780511111570 9780511197963 0511197969 9780511801228 051180122X 0521848865 9780521848862 052161323X 9780521613231 |
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| 245 | 1 | 0 | |a Introduction to partial differential equations / |c Yehuda Pinchover and Jacob Rubinstein. |
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| 505 | 0 | |a Introduction -- First-order equations -- Second-order linear equations -- The 1D wave equation -- Separation of variables -- Sturm-Liouville problem -- Elliptic equations -- Green's function and integral representation -- Equations in high dimensions -- Variational methods -- Numerical methods -- Solutions of odd-numbered problems. | |
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| author | Pinchover, Yehuda, 1953- |
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| contents | Introduction -- First-order equations -- Second-order linear equations -- The 1D wave equation -- Separation of variables -- Sturm-Liouville problem -- Elliptic equations -- Green's function and integral representation -- Equations in high dimensions -- Variational methods -- Numerical methods -- Solutions of odd-numbered problems. |
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| indexdate | 2024-11-27T13:15:44Z |
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| publisher | Cambridge University Press, |
| record_format | marc |
| spelling | Pinchover, Yehuda, 1953- https://id.oclc.org/worldcat/entity/E39PBJxrWwJJg6j8dgRPDcTCQq http://id.loc.gov/authorities/names/n94059191 Introduction to partial differential equations / Yehuda Pinchover and Jacob Rubinstein. New York : Cambridge University Press, 2005. 1 online resource (1 volume) text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. Print version record. Introduction -- First-order equations -- Second-order linear equations -- The 1D wave equation -- Separation of variables -- Sturm-Liouville problem -- Elliptic equations -- Green's function and integral representation -- Equations in high dimensions -- Variational methods -- Numerical methods -- Solutions of odd-numbered problems. A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics, and engineering. The presentation is lively and up to date, paying particular emphasis to developing an appreciation of underlying mathematical theory. Beginning with basic definitions, properties, and derivations of some basic equations of mathematical physics from basic principles, the book studies first order equations, classification of second order equations, and the one-dimensional wave equation. Two chapters are devoted to the separation of variable, whilst others concentrate on a wide range of topics including elliptic theory, Green's functions, variational and numerical methods. A rich collection of worked examples and exercises accompany the text, along with a large number of illustrations and graphs to provide insight into the numerical examples. Differential equations, Partial Textbooks. Differential equations, Partial. http://id.loc.gov/authorities/subjects/sh85037912 Équations aux dérivées partielles. MATHEMATICS Differential Equations Partial. bisacsh Differential equations, Partial. cct Differential equations, Partial fast Partielle Differentialgleichung gnd http://d-nb.info/gnd/4044779-0 Análise matemática (textos elementares) larpcal Equações diferenciais parciais (textos elementares) larpcal Textbooks fast Textbooks. lcgft http://id.loc.gov/authorities/genreForms/gf2014026191 Lehrbuch. swd Rubinstein, Jacob, 1955- https://id.oclc.org/worldcat/entity/E39PCjvfqDGmt39c9YxBPdFCw3 http://id.loc.gov/authorities/names/n00014165 has work: Introduction to partial differential equations (Text) https://id.oclc.org/worldcat/entity/E39PCGkHDVVP8tQYy6m7XBG6jy https://id.oclc.org/worldcat/ontology/hasWork Print version: Pinchover, Yehuda, 1953- Introduction to partial differential equations. New York : Cambridge University Press, 2005 0521848865 052161323X (DLC) 2005047096 (OCoLC)59223853 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=132338 Volltext |
| spellingShingle | Pinchover, Yehuda, 1953- Introduction to partial differential equations / Introduction -- First-order equations -- Second-order linear equations -- The 1D wave equation -- Separation of variables -- Sturm-Liouville problem -- Elliptic equations -- Green's function and integral representation -- Equations in high dimensions -- Variational methods -- Numerical methods -- Solutions of odd-numbered problems. Differential equations, Partial Textbooks. Differential equations, Partial. http://id.loc.gov/authorities/subjects/sh85037912 Équations aux dérivées partielles. MATHEMATICS Differential Equations Partial. bisacsh Differential equations, Partial. cct Differential equations, Partial fast Partielle Differentialgleichung gnd http://d-nb.info/gnd/4044779-0 Análise matemática (textos elementares) larpcal Equações diferenciais parciais (textos elementares) larpcal |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037912 http://d-nb.info/gnd/4044779-0 http://id.loc.gov/authorities/genreForms/gf2014026191 |
| title | Introduction to partial differential equations / |
| title_auth | Introduction to partial differential equations / |
| title_exact_search | Introduction to partial differential equations / |
| title_full | Introduction to partial differential equations / Yehuda Pinchover and Jacob Rubinstein. |
| title_fullStr | Introduction to partial differential equations / Yehuda Pinchover and Jacob Rubinstein. |
| title_full_unstemmed | Introduction to partial differential equations / Yehuda Pinchover and Jacob Rubinstein. |
| title_short | Introduction to partial differential equations / |
| title_sort | introduction to partial differential equations |
| topic | Differential equations, Partial Textbooks. Differential equations, Partial. http://id.loc.gov/authorities/subjects/sh85037912 Équations aux dérivées partielles. MATHEMATICS Differential Equations Partial. bisacsh Differential equations, Partial. cct Differential equations, Partial fast Partielle Differentialgleichung gnd http://d-nb.info/gnd/4044779-0 Análise matemática (textos elementares) larpcal Equações diferenciais parciais (textos elementares) larpcal |
| topic_facet | Differential equations, Partial Textbooks. Differential equations, Partial. Équations aux dérivées partielles. MATHEMATICS Differential Equations Partial. Differential equations, Partial Partielle Differentialgleichung Análise matemática (textos elementares) Equações diferenciais parciais (textos elementares) Textbooks Textbooks. Lehrbuch. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=132338 |
| work_keys_str_mv | AT pinchoveryehuda introductiontopartialdifferentialequations AT rubinsteinjacob introductiontopartialdifferentialequations |