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Linear Partial Differential Equations and Fourier Theory by Marcus Pivato



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About this book :-
This highly visual introduction to linear PDEs and initial/boundary value problems connects the math to physical reality, all the time providing a rigorous mathematical foundation for all solution methods. Readers are gradually introduced to abstraction – the most powerful tool for solving problems – rather than simply drilled in the practice of imitating solutions to given examples. The book is therefore ideal for students in mathematics and physics who require a more theoretical treatment than given in most introductory texts. Also designed with lecturers in mind, the fully modular presentation is easily adapted to a course of one-hour lectures, and a suggested 12-week syllabus is included to aid planning. Downloadable files for the hundreds of figures, hundreds of challenging exercises, and practice problems that appear in the book are available online, as are solutions.

Book Detail :-
This book has following details information.
Title: Linear Partial Differential Equations and Fourier Theory by Marcus Pivato by NA
Publisher: Cambridge University Press
Series: FreeCompBooks
Year: 2010
Pages: 630
Type: PDF
Language: English
ISBN-10 #: 0521136598
ISBN-13 #: 978-0521136594
Country: Pakistan
License: N\A
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About Author :-
The author NA NA

Book Contents :-
conver the following topics.
1. Heat and diffusion 2. Waves and signals 3. Quantum mechanics 4. Linear partial differential equations 5. Classification of PDEs and problem types 6. Some functional analysis 7. Fourier sine series and cosine series 8. Real Fourier series and complex Fourier series 9. Multidimensional Fourier series 10. Proofs of the Fourier convergence theorems 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 16. Separation of variables 17. Impulse-response methods 18. Applications of complex analysis 19. Fourier transforms 20. Fourier transform solutions to PDEs

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