Andrea Prosperetti

Advanced Mathematics for Applications

• Broschiertes Buch

Produktbeschreibung

Andrea Prosperetti draws on many years' experience at the forefront of research to produce a guide to the mathematical methods needed for classical fields. Each chapter is essentially self-contained, so users can fashion their own path through the material according to their needs.

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Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 742
• Erscheinungstermin: 21. Februar 2011
• Englisch
• Abmessung: 246mm x 177mm x 40mm
• Gewicht: 1320g
• ISBN-13: 9780521735872
• ISBN-10: 0521735874
• Artikelnr.: 30976795

Autorenporträt

Andrea Prosperetti is the Charles A. Miller, Jr Professor in the Department of Mechanical Engineering at The Johns Hopkins University. He also holds the Berkhoff Chair in the Department of Applied Sciences at the University of Twente, Enschede, Netherlands.

Inhaltsangabe

Preface; To the reader; List of tables; Part I. General Remarks and Basic Concepts: 1. The classical field equations; 2. Some simple preliminaries; Part II. Applications: 3. Fourier series: applications; 4. Fourier transform: applications; 5. Laplace transform: applications; 6. Cylindrical systems; 7. Spherical systems; Part III. Essential Tools: 8. Sequences and series; 9. Fourier series: theory; 10. The Fourier and Hankel transforms; 11. The Laplace transform; 12. The Bessel equation; 13. The Legendre equation; 14. Spherical harmonics; 15. Green's functions: ordinary differential equations; 16. Green's functions: partial differential equations; 17. Analytic functions; 18. Matrices and finite-dimensional linear spaces; Part IV. Some Advanced Tools: 19. Infinite-dimensional spaces; 20. Theory of distributions; 21. Linear operators in infinite-dimensional spaces; Appendix; References; Index.

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Preface
To the reader
List of tables
Part I. General Remarks and Basic Concepts: 1. The classical field equations
2. Some simple preliminaries
Part II. Applications: 3. Fourier series: applications
4. Fourier transform: applications
5. Laplace transform: applications
6. Cylindrical systems
7. Spherical systems
Part III. Essential Tools: 8. Sequences and series
9. Fourier series: theory
10. The Fourier and Hankel transforms
11. The Laplace transform
12. The Bessel equation
13. The Legendre equation
14. Spherical harmonics
15. Green's functions: ordinary differential equations
16. Green's functions: partial differential equations
17. Analytic functions
18. Matrices and finite-dimensional linear spaces
Part IV. Some Advanced Tools: 19. Infinite-dimensional spaces
20. Theory of distributions
21. Linear operators in infinite-dimensional spaces
Appendix
References
Index.

Rezensionen

'This carefully written book by a well-known expert in the area is also an excellent guide to the present literature, recommended as well to graduate students as to experts in the area. This volume will help the reader in getting acquainted with some mathematical aspects of the modern theory of linear and non-linear phenomena arising in relevant applications to mathematical physics.' Zentralblatt MATH