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Linear partial differential equations and Fourier theory / Marcus Pivato.

By: Material type: TextTextPublication details: Delhi : Cambridge University Press, 2010.Description: xxvii, 601 p. : ill. ; 26 cmISBN:
  • 9781107640412
Subject(s): DDC classification:
  • 515.353 23 P693
Contents:
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-- Appendixes-- References-- Indexes.
Summary: The book is 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.
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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.353 P693 (Browse shelf(Opens below)) Available C26359
Total holds: 0

Includes bibliographical references (p. 581-583) and indexes.

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--
Appendixes--
References--
Indexes.

The book is 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.

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