Equations in Mathematical Physics: A practical course
Gespeichert in:
Beteilige Person: | |
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Format: | Elektronisch E-Book |
Sprache: | Englisch |
Veröffentlicht: |
Basel
Springer Basel
2001
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Schriftenreihe: | Modern Birkhäuser Classics
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Schlagwörter: | |
Links: | https://doi.org/10.1007/978-3-0348-0268-0 |
Beschreibung: | Many physical processes in fields such as mechanics, thermodynamics, electricity, magnetism or optics are described by means of partial differential equations. The aim of the present book is to demonstrate the basic methods for solving the classical linear problems in mathematical physics of elliptic, parabolic and hyperbolic type. In particular, the methods of conformal mappings, Fourier analysis and Green's functions are considered, as well as the perturbation method and integral transformation method, among others. Every chapter contains concrete examples with a detailed analysis of their solution. The book is intended as a textbook for students in mathematical physics, but will also serve as a handbook for scientists and engineers. [A] manual for future engineers must strongly differ from the textbook for pure mathematicians, and the book by Pikulin and Pohozaev is the good example. (...) The purpose (...) is to offer quick access to the principal facts (...) This well written book is a reader-friendly and good-organized textbook in the field of PDE. It can be highly recommended for students of technology universities and institutes as well as for engineers. (Zentralblatt MATH) Each chapter contains concrete examples with a detailed analysis of their solution and ends with problems for independent study and answers to them. (EMS Newsletter) |
Umfang: | 1 Online-Ressource (VIII, 207p. 31 illus) |
ISBN: | 9783034802680 9783034802673 |
DOI: | 10.1007/978-3-0348-0268-0 |
Internformat
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490 | 0 | |a Modern Birkhäuser Classics | |
500 | |a Many physical processes in fields such as mechanics, thermodynamics, electricity, magnetism or optics are described by means of partial differential equations. The aim of the present book is to demonstrate the basic methods for solving the classical linear problems in mathematical physics of elliptic, parabolic and hyperbolic type. In particular, the methods of conformal mappings, Fourier analysis and Green's functions are considered, as well as the perturbation method and integral transformation method, among others. Every chapter contains concrete examples with a detailed analysis of their solution. The book is intended as a textbook for students in mathematical physics, but will also serve as a handbook for scientists and engineers. [A] manual for future engineers must strongly differ from the textbook for pure mathematicians, and the book by Pikulin and Pohozaev is the good example. (...) The purpose (...) is to offer quick access to the principal facts (...) This well written book is a reader-friendly and good-organized textbook in the field of PDE. It can be highly recommended for students of technology universities and institutes as well as for engineers. (Zentralblatt MATH) Each chapter contains concrete examples with a detailed analysis of their solution and ends with problems for independent study and answers to them. (EMS Newsletter) | ||
650 | 4 | |a Mathematics | |
650 | 4 | |a Differential equations, partial | |
650 | 4 | |a Computer science / Mathematics | |
650 | 4 | |a Partial Differential Equations | |
650 | 4 | |a Hyperbolic Geometry | |
650 | 4 | |a Computational Mathematics and Numerical Analysis | |
650 | 4 | |a Informatik | |
650 | 4 | |a Mathematik | |
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Datensatz im Suchindex
DE-BY-TUM_katkey | 2068849 |
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any_adam_object | |
author | Pikulin, Viktor P. 1938- |
author_GND | (DE-588)12901902X (DE-588)129018880 |
author_facet | Pikulin, Viktor P. 1938- |
author_role | aut |
author_sort | Pikulin, Viktor P. 1938- |
author_variant | v p p vp vpp |
building | Verbundindex |
bvnumber | BV042421840 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
ctrlnum | (OCoLC)1185185889 (DE-599)BVBBV042421840 |
dewey-full | 515.353 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 515 - Analysis |
dewey-raw | 515.353 |
dewey-search | 515.353 |
dewey-sort | 3515.353 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-0348-0268-0 |
format | Electronic eBook |
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illustrated | Not Illustrated |
indexdate | 2024-12-20T17:10:45Z |
institution | BVB |
isbn | 9783034802680 9783034802673 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027857257 |
oclc_num | 1185185889 |
open_access_boolean | |
owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
physical | 1 Online-Ressource (VIII, 207p. 31 illus) |
psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
publishDate | 2001 |
publishDateSearch | 2001 |
publishDateSort | 2001 |
publisher | Springer Basel |
record_format | marc |
series2 | Modern Birkhäuser Classics |
spellingShingle | Pikulin, Viktor P. 1938- Equations in Mathematical Physics A practical course Mathematics Differential equations, partial Computer science / Mathematics Partial Differential Equations Hyperbolic Geometry Computational Mathematics and Numerical Analysis Informatik Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd Mathematische Physik (DE-588)4037952-8 gnd |
subject_GND | (DE-588)4044779-0 (DE-588)4037952-8 |
title | Equations in Mathematical Physics A practical course |
title_auth | Equations in Mathematical Physics A practical course |
title_exact_search | Equations in Mathematical Physics A practical course |
title_full | Equations in Mathematical Physics A practical course by Victor P. Pikulin, Stanislav I. Pohozaev |
title_fullStr | Equations in Mathematical Physics A practical course by Victor P. Pikulin, Stanislav I. Pohozaev |
title_full_unstemmed | Equations in Mathematical Physics A practical course by Victor P. Pikulin, Stanislav I. Pohozaev |
title_short | Equations in Mathematical Physics |
title_sort | equations in mathematical physics a practical course |
title_sub | A practical course |
topic | Mathematics Differential equations, partial Computer science / Mathematics Partial Differential Equations Hyperbolic Geometry Computational Mathematics and Numerical Analysis Informatik Mathematik Partielle Differentialgleichung (DE-588)4044779-0 gnd Mathematische Physik (DE-588)4037952-8 gnd |
topic_facet | Mathematics Differential equations, partial Computer science / Mathematics Partial Differential Equations Hyperbolic Geometry Computational Mathematics and Numerical Analysis Informatik Mathematik Partielle Differentialgleichung Mathematische Physik |
url | https://doi.org/10.1007/978-3-0348-0268-0 |
work_keys_str_mv | AT pikulinviktorp equationsinmathematicalphysicsapracticalcourse AT pochozaevstanislavi equationsinmathematicalphysicsapracticalcourse |