Mathematics for physics: a guided tour for graduate students
An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2009
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| Subjects: | |
| Online Access: | BSB01 FHN01 UBY01 Volltext |
| Summary: | An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030 |
| Item Description: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Physical Description: | 1 online resource (xiii, 806 pages) |
| ISBN: | 9780511627040 |
| DOI: | 10.1017/CBO9780511627040 |
Staff View
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| 505 | 8 | |a Calculus of variations -- Function spaces -- Linear ordinary differential equations -- Linear differential operators -- Green functions -- Partial differential equations -- The mathematics of real waves -- Special functions -- Integral equations -- Vectors and tensors -- Differential calculus on manifolds -- Integration on manifolds -- An introduction to differential topology -- Groups and group representations -- Lie groups -- The geometry of fibre bundles -- Complex analysis -- Applications of complex variables -- Special functions and complex variables -- Linear algebra review -- Fourier series and integrals | |
| 520 | |a An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030 | ||
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| author | Stone, Michael |
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| contents | Calculus of variations -- Function spaces -- Linear ordinary differential equations -- Linear differential operators -- Green functions -- Partial differential equations -- The mathematics of real waves -- Special functions -- Integral equations -- Vectors and tensors -- Differential calculus on manifolds -- Integration on manifolds -- An introduction to differential topology -- Groups and group representations -- Lie groups -- The geometry of fibre bundles -- Complex analysis -- Applications of complex variables -- Special functions and complex variables -- Linear algebra review -- Fourier series and integrals |
| ctrlnum | (ZDB-20-CBO)CR9780511627040 (OCoLC)670416264 (DE-599)BVBBV043942979 |
| dewey-full | 530.15 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15 |
| dewey-search | 530.15 |
| dewey-sort | 3530.15 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1017/CBO9780511627040 |
| format | Electronic eBook |
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| isbn | 9780511627040 |
| language | English |
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| spelling | Stone, Michael Verfasser aut Mathematics for physics a guided tour for graduate students Michael Stone and Paul Goldbart Cambridge Cambridge University Press 2009 1 online resource (xiii, 806 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) Calculus of variations -- Function spaces -- Linear ordinary differential equations -- Linear differential operators -- Green functions -- Partial differential equations -- The mathematics of real waves -- Special functions -- Integral equations -- Vectors and tensors -- Differential calculus on manifolds -- Integration on manifolds -- An introduction to differential topology -- Groups and group representations -- Lie groups -- The geometry of fibre bundles -- Complex analysis -- Applications of complex variables -- Special functions and complex variables -- Linear algebra review -- Fourier series and integrals An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030 Mathematische Physik Mathematical physics Mathematical physics / Problems, exercises, etc Mathematische Physik (DE-588)4037952-8 gnd rswk-swf Mathematische Physik (DE-588)4037952-8 s 1\p DE-604 Goldbart, Paul M. Sonstige oth Erscheint auch als Druckausgabe 978-0-521-85403-0 https://doi.org/10.1017/CBO9780511627040 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Stone, Michael Mathematics for physics a guided tour for graduate students Calculus of variations -- Function spaces -- Linear ordinary differential equations -- Linear differential operators -- Green functions -- Partial differential equations -- The mathematics of real waves -- Special functions -- Integral equations -- Vectors and tensors -- Differential calculus on manifolds -- Integration on manifolds -- An introduction to differential topology -- Groups and group representations -- Lie groups -- The geometry of fibre bundles -- Complex analysis -- Applications of complex variables -- Special functions and complex variables -- Linear algebra review -- Fourier series and integrals Mathematische Physik Mathematical physics Mathematical physics / Problems, exercises, etc Mathematische Physik (DE-588)4037952-8 gnd |
| subject_GND | (DE-588)4037952-8 |
| title | Mathematics for physics a guided tour for graduate students |
| title_auth | Mathematics for physics a guided tour for graduate students |
| title_exact_search | Mathematics for physics a guided tour for graduate students |
| title_full | Mathematics for physics a guided tour for graduate students Michael Stone and Paul Goldbart |
| title_fullStr | Mathematics for physics a guided tour for graduate students Michael Stone and Paul Goldbart |
| title_full_unstemmed | Mathematics for physics a guided tour for graduate students Michael Stone and Paul Goldbart |
| title_short | Mathematics for physics |
| title_sort | mathematics for physics a guided tour for graduate students |
| title_sub | a guided tour for graduate students |
| topic | Mathematische Physik Mathematical physics Mathematical physics / Problems, exercises, etc Mathematische Physik (DE-588)4037952-8 gnd |
| topic_facet | Mathematische Physik Mathematical physics Mathematical physics / Problems, exercises, etc |
| url | https://doi.org/10.1017/CBO9780511627040 |
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