Partial differential equations: 1 Basic theory
This text provides an introduction to the theory of partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particu...
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
New York [und andere]
Springer
1997
|
Ausgabe: | Corr. 2. printing |
Schriftenreihe: | Applied mathematical sciences
115 |
Schlagworte: | |
Zusammenfassung: | This text provides an introduction to the theory of partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particularly Fourier analysis, distribution theory, and Sobolev spaces. These tools are applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. Companion texts, which take the theory of partial differential equations further, are AMS volume 116, treating more advanced topics in linear PDE, and AMS volume 117, treating problems in nonlinear PDE This book is addressed to graduate students in mathematics and to professional mathematicians, with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis |
Beschreibung: | XXI, 561 S. graph. Darst. |
ISBN: | 0387946535 |
Internformat
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300 | |a XXI, 561 S. |b graph. Darst. | ||
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490 | 1 | |a Applied mathematical sciences |v 115 | |
490 | 0 | |a Applied mathematical sciences | |
520 | 3 | |a This text provides an introduction to the theory of partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particularly Fourier analysis, distribution theory, and Sobolev spaces. These tools are applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. Companion texts, which take the theory of partial differential equations further, are AMS volume 116, treating more advanced topics in linear PDE, and AMS volume 117, treating problems in nonlinear PDE | |
520 | |a This book is addressed to graduate students in mathematics and to professional mathematicians, with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis | ||
650 | 4 | |a Diferensiyel denklemler, Kısmi | |
650 | 7 | |a Equations aux dérivées partielles |2 ram | |
650 | 4 | |a Differential equations, Partial | |
773 | 0 | 8 | |w (DE-604)BV010899159 |g 1 |
830 | 0 | |a Applied mathematical sciences |v 115 |w (DE-604)BV000005274 |9 115 |
Datensatz im Suchindex
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author | Taylor, Michael Eugene 1946- |
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dewey-ones | 510 - Mathematics 515 - Analysis |
dewey-raw | 510 515/.353 |
dewey-search | 510 515/.353 |
dewey-sort | 3510 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
edition | Corr. 2. printing |
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id | DE-604.BV012271875 |
illustrated | Illustrated |
indexdate | 2024-07-20T03:13:52Z |
institution | BVB |
isbn | 0387946535 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008317509 |
oclc_num | 37277867 |
open_access_boolean | |
owner | DE-703 DE-91G DE-BY-TUM DE-29T DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-188 DE-11 |
owner_facet | DE-703 DE-91G DE-BY-TUM DE-29T DE-19 DE-BY-UBM DE-355 DE-BY-UBR DE-188 DE-11 |
physical | XXI, 561 S. graph. Darst. |
publishDate | 1997 |
publishDateSearch | 1997 |
publishDateSort | 1997 |
publisher | Springer |
record_format | marc |
series | Applied mathematical sciences |
series2 | Applied mathematical sciences |
spelling | Taylor, Michael Eugene 1946- Verfasser (DE-588)123980119 aut Partial differential equations 1 Basic theory Michael E. Taylor Corr. 2. printing New York [und andere] Springer 1997 XXI, 561 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Applied mathematical sciences 115 Applied mathematical sciences This text provides an introduction to the theory of partial differential equations. It introduces basic examples of partial differential equations, arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, including particularly Fourier analysis, distribution theory, and Sobolev spaces. These tools are applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. Companion texts, which take the theory of partial differential equations further, are AMS volume 116, treating more advanced topics in linear PDE, and AMS volume 117, treating problems in nonlinear PDE This book is addressed to graduate students in mathematics and to professional mathematicians, with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis Diferensiyel denklemler, Kısmi Equations aux dérivées partielles ram Differential equations, Partial (DE-604)BV010899159 1 Applied mathematical sciences 115 (DE-604)BV000005274 115 |
spellingShingle | Taylor, Michael Eugene 1946- Partial differential equations Applied mathematical sciences Diferensiyel denklemler, Kısmi Equations aux dérivées partielles ram Differential equations, Partial |
title | Partial differential equations |
title_auth | Partial differential equations |
title_exact_search | Partial differential equations |
title_full | Partial differential equations 1 Basic theory Michael E. Taylor |
title_fullStr | Partial differential equations 1 Basic theory Michael E. Taylor |
title_full_unstemmed | Partial differential equations 1 Basic theory Michael E. Taylor |
title_short | Partial differential equations |
title_sort | partial differential equations basic theory |
topic | Diferensiyel denklemler, Kısmi Equations aux dérivées partielles ram Differential equations, Partial |
topic_facet | Diferensiyel denklemler, Kısmi Equations aux dérivées partielles Differential equations, Partial |
volume_link | (DE-604)BV010899159 (DE-604)BV000005274 |
work_keys_str_mv | AT taylormichaeleugene partialdifferentialequations1 |