Analytic Methods for Partial Differential Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
London
Springer London
1999
|
| Schriftenreihe: | Springer Undergraduate Mathematics Series
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The subject of partial differential equations holds an exciting and special position in mathematics. Partial differential equations were not consciously created as a subject but emerged in the 18th century as ordinary differential equations failed to describe the physical principles being studied. The subject was originally developed by the major names of mathematics, in particular, Leonard Euler and Joseph-Louis Lagrange who studied waves on strings; Daniel Bernoulli and Euler who considered potential theory, with later developments by Adrien-Marie Legendre and Pierre-Simon Laplace; and Joseph Fourier's famous work on series expansions for the heat equation. Many of the greatest advances in modern science have been based on discovering the underlying partial differential equation for the process in question. J ames Clerk Maxwell, for example, put electricity and magnetism into a unified theory by estab lishing Maxwell's equations for electromagnetic theory, which gave solutions for problems in radio wave propagation, the diffraction of light and X-ray developments. Schrodinger's equation for quantum mechankal processes at the atomic level leads to experimentally verifiable results which have changed the face of atomic physics and chemistry in the 20th century. In fluid mechanics, the Navier-Stokes' equations form a basis for huge number-crunching activities associated with such widely disparate topics as weather forcasting and the design of supersonic aircraft. Inevitably the study of partial differential equations is a large undertaking, and falls into several areas of mathematics |
| Beschreibung: | 1 Online-Ressource (XII, 316p. 25 illus) |
| ISBN: | 9781447103790 9783540761242 |
| ISSN: | 1615-2085 |
| DOI: | 10.1007/978-1-4471-0379-0 |
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4471-0379-0 |
| format | Electronic eBook |
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| institution | BVB |
| isbn | 9781447103790 9783540761242 |
| issn | 1615-2085 |
| language | English |
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| spelling | Evans, Gwynne A. Verfasser aut Analytic Methods for Partial Differential Equations by Gwynne A. Evans, Jonathan M. Blackledge, Peter D. Yardley London Springer London 1999 1 Online-Ressource (XII, 316p. 25 illus) txt rdacontent c rdamedia cr rdacarrier Springer Undergraduate Mathematics Series 1615-2085 The subject of partial differential equations holds an exciting and special position in mathematics. Partial differential equations were not consciously created as a subject but emerged in the 18th century as ordinary differential equations failed to describe the physical principles being studied. The subject was originally developed by the major names of mathematics, in particular, Leonard Euler and Joseph-Louis Lagrange who studied waves on strings; Daniel Bernoulli and Euler who considered potential theory, with later developments by Adrien-Marie Legendre and Pierre-Simon Laplace; and Joseph Fourier's famous work on series expansions for the heat equation. Many of the greatest advances in modern science have been based on discovering the underlying partial differential equation for the process in question. J ames Clerk Maxwell, for example, put electricity and magnetism into a unified theory by estab lishing Maxwell's equations for electromagnetic theory, which gave solutions for problems in radio wave propagation, the diffraction of light and X-ray developments. Schrodinger's equation for quantum mechankal processes at the atomic level leads to experimentally verifiable results which have changed the face of atomic physics and chemistry in the 20th century. In fluid mechanics, the Navier-Stokes' equations form a basis for huge number-crunching activities associated with such widely disparate topics as weather forcasting and the design of supersonic aircraft. Inevitably the study of partial differential equations is a large undertaking, and falls into several areas of mathematics Mathematics Global analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik Analytische Lösung (DE-588)4313842-1 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Analytische Lösung (DE-588)4313842-1 s 1\p DE-604 Blackledge, Jonathan M. Sonstige oth Yardley, Peter D. Sonstige oth https://doi.org/10.1007/978-1-4471-0379-0 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Evans, Gwynne A. Analytic Methods for Partial Differential Equations Mathematics Global analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik Analytische Lösung (DE-588)4313842-1 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| subject_GND | (DE-588)4313842-1 (DE-588)4044779-0 |
| title | Analytic Methods for Partial Differential Equations |
| title_auth | Analytic Methods for Partial Differential Equations |
| title_exact_search | Analytic Methods for Partial Differential Equations |
| title_full | Analytic Methods for Partial Differential Equations by Gwynne A. Evans, Jonathan M. Blackledge, Peter D. Yardley |
| title_fullStr | Analytic Methods for Partial Differential Equations by Gwynne A. Evans, Jonathan M. Blackledge, Peter D. Yardley |
| title_full_unstemmed | Analytic Methods for Partial Differential Equations by Gwynne A. Evans, Jonathan M. Blackledge, Peter D. Yardley |
| title_short | Analytic Methods for Partial Differential Equations |
| title_sort | analytic methods for partial differential equations |
| topic | Mathematics Global analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik Analytische Lösung (DE-588)4313842-1 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Numerical analysis Analysis Numerical Analysis Mathematik Analytische Lösung Partielle Differentialgleichung |
| url | https://doi.org/10.1007/978-1-4471-0379-0 |
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