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No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solutions, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements.
No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra. While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solutions, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements.
Peter J. Olver is professor of mathematics at the University of Minnesota. His wide-ranging research interests are centered on the development of symmetry-based methods for differential equations and their manifold applications. He is the author of over 130 papers published in major scientific research journals as well as 4 other books, including the definitive Springer graduate text, Applications of Lie Groups to Differential Equations, and another undergraduate text, Applied Linear Algebra.
Many interesting examples and exercises that are connected to real world problems balanced with well explained theory
Provides an excellent reading course for undergraduate partial differential equations
Treats both linear and nonlinear partial differential equations
Includes supplementary material: [...]
Request lecturer material: [...]
| Erscheinungsjahr: | 2013 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Reihe: | Undergraduate Texts in Mathematics |
| Inhalt: |
xxv
636 S. 143 s/w Illustr. 636 p. 143 illus. |
| ISBN-13: | 9783319020983 |
| ISBN-10: | 3319020986 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Olver, Peter J. |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG Undergraduate Texts in Mathematics |
| Maße: | 260 x 183 x 42 mm |
| Von/Mit: | Peter J. Olver |
| Erscheinungsdatum: | 20.11.2013 |
| Gewicht: | 1,448 kg |
Peter J. Olver is professor of mathematics at the University of Minnesota. His wide-ranging research interests are centered on the development of symmetry-based methods for differential equations and their manifold applications. He is the author of over 130 papers published in major scientific research journals as well as 4 other books, including the definitive Springer graduate text, Applications of Lie Groups to Differential Equations, and another undergraduate text, Applied Linear Algebra.
Many interesting examples and exercises that are connected to real world problems balanced with well explained theory
Provides an excellent reading course for undergraduate partial differential equations
Treats both linear and nonlinear partial differential equations
Includes supplementary material: [...]
Request lecturer material: [...]
| Erscheinungsjahr: | 2013 |
|---|---|
| Fachbereich: | Analysis |
| Genre: | Mathematik |
| Rubrik: | Naturwissenschaften & Technik |
| Medium: | Buch |
| Reihe: | Undergraduate Texts in Mathematics |
| Inhalt: |
xxv
636 S. 143 s/w Illustr. 636 p. 143 illus. |
| ISBN-13: | 9783319020983 |
| ISBN-10: | 3319020986 |
| Sprache: | Englisch |
| Ausstattung / Beilage: | HC runder Rücken kaschiert |
| Einband: | Gebunden |
| Autor: | Olver, Peter J. |
| Hersteller: |
Springer International Publishing
Springer International Publishing AG Undergraduate Texts in Mathematics |
| Maße: | 260 x 183 x 42 mm |
| Von/Mit: | Peter J. Olver |
| Erscheinungsdatum: | 20.11.2013 |
| Gewicht: | 1,448 kg |
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