Generalized Functions: Theory and Applications
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Boston, MA
Birkhäuser Boston
2004
|
| Ausgabe: | Third Edition |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This third edition of "Generalized Functions" expands the treatment of fundamental concepts and theoretical background material and delineates connections to a variety of applications in mathematical physics, elasticity, wave propagation, magnetohydrodynamics, linear systems, probability and statistics, optimal control problems in economics, and more. In applying the powerful tools of generalized functions to better serve the needs of physicists, engineers, and applied mathematicians, this work is quite distinct from other books on the subject. Key new topics and important features: Examination of the Poisson Summation Formula and the concepts of differential forms and the delta distribution on wave fronts Enhanced presentation of the Schroedinger, Klein-Gordon, Helmholtz, heat and wave equations Exposition driven by additional examples and exercises Comprehensive bibliography and index Prerequisites: advanced calculus, ordinary and partial differential equations - From the Reviewers: "Kanwal's book is a worthy member of this company [Gelfand and Shilov, Semanian, Friedman, Jones, and Barros-Neto]. Its strength lies in the application to classical physics....[it presents] a wealth of applications that cannot be found in any other single source...Kanwal has written a valuable book accessible to first-year graduate students in physics and engineering." --Ivar Stakgold, Mathematics, University of Delaware "The advantage of this text is in carefully gathered examples explaining how to use corresponding properties.... Even the standard material connecting with partial and ordinary differential equations is rewritten in modern terminology." --Zentralblatt |
| Beschreibung: | 1 Online-Ressource (XX, 476p. 41 illus) |
| ISBN: | 9780817681746 9780817643430 |
| DOI: | 10.1007/978-0-8176-8174-6 |
Internformat
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| 245 | 1 | 0 | |a Generalized Functions |b Theory and Applications |c by Ram P. Kanwal |
| 250 | |a Third Edition | ||
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| 500 | |a This third edition of "Generalized Functions" expands the treatment of fundamental concepts and theoretical background material and delineates connections to a variety of applications in mathematical physics, elasticity, wave propagation, magnetohydrodynamics, linear systems, probability and statistics, optimal control problems in economics, and more. In applying the powerful tools of generalized functions to better serve the needs of physicists, engineers, and applied mathematicians, this work is quite distinct from other books on the subject. Key new topics and important features: Examination of the Poisson Summation Formula and the concepts of differential forms and the delta distribution on wave fronts Enhanced presentation of the Schroedinger, Klein-Gordon, Helmholtz, heat and wave equations Exposition driven by additional examples and exercises Comprehensive bibliography and index Prerequisites: advanced calculus, ordinary and partial differential equations - From the Reviewers: "Kanwal's book is a worthy member of this company [Gelfand and Shilov, Semanian, Friedman, Jones, and Barros-Neto]. Its strength lies in the application to classical physics....[it presents] a wealth of applications that cannot be found in any other single source...Kanwal has written a valuable book accessible to first-year graduate students in physics and engineering." --Ivar Stakgold, Mathematics, University of Delaware "The advantage of this text is in carefully gathered examples explaining how to use corresponding properties.... Even the standard material connecting with partial and ordinary differential equations is rewritten in modern terminology." --Zentralblatt | ||
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| 650 | 4 | |a Ordinary Differential Equations | |
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Datensatz im Suchindex
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| author | Kanwal, Ram P. 1924-2006 |
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| dewey-full | 515.7 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7 |
| dewey-search | 515.7 |
| dewey-sort | 3515.7 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-0-8176-8174-6 |
| edition | Third Edition |
| format | Electronic eBook |
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| id | DE-604.BV042419193 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:04Z |
| institution | BVB |
| isbn | 9780817681746 9780817643430 |
| language | English |
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| spelling | Kanwal, Ram P. 1924-2006 Verfasser (DE-588)1055774505 aut Generalized Functions Theory and Applications by Ram P. Kanwal Third Edition Boston, MA Birkhäuser Boston 2004 1 Online-Ressource (XX, 476p. 41 illus) txt rdacontent c rdamedia cr rdacarrier This third edition of "Generalized Functions" expands the treatment of fundamental concepts and theoretical background material and delineates connections to a variety of applications in mathematical physics, elasticity, wave propagation, magnetohydrodynamics, linear systems, probability and statistics, optimal control problems in economics, and more. In applying the powerful tools of generalized functions to better serve the needs of physicists, engineers, and applied mathematicians, this work is quite distinct from other books on the subject. Key new topics and important features: Examination of the Poisson Summation Formula and the concepts of differential forms and the delta distribution on wave fronts Enhanced presentation of the Schroedinger, Klein-Gordon, Helmholtz, heat and wave equations Exposition driven by additional examples and exercises Comprehensive bibliography and index Prerequisites: advanced calculus, ordinary and partial differential equations - From the Reviewers: "Kanwal's book is a worthy member of this company [Gelfand and Shilov, Semanian, Friedman, Jones, and Barros-Neto]. Its strength lies in the application to classical physics....[it presents] a wealth of applications that cannot be found in any other single source...Kanwal has written a valuable book accessible to first-year graduate students in physics and engineering." --Ivar Stakgold, Mathematics, University of Delaware "The advantage of this text is in carefully gathered examples explaining how to use corresponding properties.... Even the standard material connecting with partial and ordinary differential equations is rewritten in modern terminology." --Zentralblatt Mathematics Functional analysis Integral equations Differential Equations Differential equations, partial Mathematical physics Functional Analysis Applications of Mathematics Mathematical Methods in Physics Partial Differential Equations Ordinary Differential Equations Integral Equations Mathematik Mathematische Physik https://doi.org/10.1007/978-0-8176-8174-6 Verlag Volltext |
| spellingShingle | Kanwal, Ram P. 1924-2006 Generalized Functions Theory and Applications Mathematics Functional analysis Integral equations Differential Equations Differential equations, partial Mathematical physics Functional Analysis Applications of Mathematics Mathematical Methods in Physics Partial Differential Equations Ordinary Differential Equations Integral Equations Mathematik Mathematische Physik |
| title | Generalized Functions Theory and Applications |
| title_auth | Generalized Functions Theory and Applications |
| title_exact_search | Generalized Functions Theory and Applications |
| title_full | Generalized Functions Theory and Applications by Ram P. Kanwal |
| title_fullStr | Generalized Functions Theory and Applications by Ram P. Kanwal |
| title_full_unstemmed | Generalized Functions Theory and Applications by Ram P. Kanwal |
| title_short | Generalized Functions |
| title_sort | generalized functions theory and applications |
| title_sub | Theory and Applications |
| topic | Mathematics Functional analysis Integral equations Differential Equations Differential equations, partial Mathematical physics Functional Analysis Applications of Mathematics Mathematical Methods in Physics Partial Differential Equations Ordinary Differential Equations Integral Equations Mathematik Mathematische Physik |
| topic_facet | Mathematics Functional analysis Integral equations Differential Equations Differential equations, partial Mathematical physics Functional Analysis Applications of Mathematics Mathematical Methods in Physics Partial Differential Equations Ordinary Differential Equations Integral Equations Mathematik Mathematische Physik |
| url | https://doi.org/10.1007/978-0-8176-8174-6 |
| work_keys_str_mv | AT kanwalramp generalizedfunctionstheoryandapplications |