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Cover: 9780521136594 | Linear Partial Differential Equations and Fourier Theory | Pivato
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Linear Partial Differential Equations and Fourier Theory
Taschenbuch von Marcus Pivato
Sprache: Englisch

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Beschreibung
This highly visual introductory textbook provides a rigorous mathematical foundation for all solution methods and reinforces ties to physical motivation.
This highly visual introductory textbook provides a rigorous mathematical foundation for all solution methods and reinforces ties to physical motivation.
Über den Autor
Marcus Pivato is Associate Professor in the Department of Mathematics at Trent University in Peterborough, Ontario.
Inhaltsverzeichnis
Preface; Notation; What's good about this book?; Suggested twelve-week syllabus; Part I. Motivating Examples and Major Applications: 1. Heat and diffusion; 2. Waves and signals; 3. Quantum mechanics; Part II. General Theory: 4. Linear partial differential equations; 5. Classification of PDEs and problem types; Part III. Fourier Series on Bounded Domains: 6. Some functional analysis; 7. Fourier sine series and cosine series; 8. Real Fourier series and complex Fourier series; 9. Mulitdimensional Fourier series; 10. Proofs of the Fourier convergence theorems; Part IV. BVP Solutions Via Eigenfunction Expansions: 11. Boundary value problems on a line segment; 12. Boundary value problems on a square; 13. Boundary value problems on a cube; 14. Boundary value problems in polar coordinates; 15. Eigenfunction methods on arbitrary domains; Part V. Miscellaneous Solution Methods: 16. Separation of variables; 17. Impulse-response methods; 18. Applications of complex analysis; Part VI. Fourier Transforms on Unbounded Domains: 19. Fourier transforms; 20. Fourier transform solutions to PDEs; Appendices; References; Index.
Details
Medium: Taschenbuch
ISBN-13: 9780521136594
ISBN-10: 0521136598
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Pivato, Marcus
Hersteller: Cambridge University Press
Maße: 244 x 170 x 34 mm
Von/Mit: Marcus Pivato
Erscheinungsdatum: 23.11.2018
Gewicht: 1,07 kg
Artikel-ID: 107789536
Über den Autor
Marcus Pivato is Associate Professor in the Department of Mathematics at Trent University in Peterborough, Ontario.
Inhaltsverzeichnis
Preface; Notation; What's good about this book?; Suggested twelve-week syllabus; Part I. Motivating Examples and Major Applications: 1. Heat and diffusion; 2. Waves and signals; 3. Quantum mechanics; Part II. General Theory: 4. Linear partial differential equations; 5. Classification of PDEs and problem types; Part III. Fourier Series on Bounded Domains: 6. Some functional analysis; 7. Fourier sine series and cosine series; 8. Real Fourier series and complex Fourier series; 9. Mulitdimensional Fourier series; 10. Proofs of the Fourier convergence theorems; Part IV. BVP Solutions Via Eigenfunction Expansions: 11. Boundary value problems on a line segment; 12. Boundary value problems on a square; 13. Boundary value problems on a cube; 14. Boundary value problems in polar coordinates; 15. Eigenfunction methods on arbitrary domains; Part V. Miscellaneous Solution Methods: 16. Separation of variables; 17. Impulse-response methods; 18. Applications of complex analysis; Part VI. Fourier Transforms on Unbounded Domains: 19. Fourier transforms; 20. Fourier transform solutions to PDEs; Appendices; References; Index.
Details
Medium: Taschenbuch
ISBN-13: 9780521136594
ISBN-10: 0521136598
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Pivato, Marcus
Hersteller: Cambridge University Press
Maße: 244 x 170 x 34 mm
Von/Mit: Marcus Pivato
Erscheinungsdatum: 23.11.2018
Gewicht: 1,07 kg
Artikel-ID: 107789536
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