Partial Differential Equations: Vol. 1 Foundations and Integral Representations
- ISBN-10
- 3540344594
- ISBN-13
- 9783540344599
- Series
- Partial Differential Equations
- Category
- Mathematics
- Pages
- 437
- Language
- English
- Published
- 2006-10-05
- Publisher
- Springer Science & Business Media
- Author
- Friedrich Sauvigny
Description
This comprehensive two-volume textbook covers the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is placed on the connection of PDEs and complex variable methods. In this first volume the following topics are treated: Integration and differentiation on manifolds, Functional analytic foundations, Brouwer's degree of mapping, Generalized analytic functions, Potential theory and spherical harmonics, Linear partial differential equations. We solve partial differential equations via integral representations in this volume, reserving functional analytic solution methods for Volume Two.
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Other editions
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- 2012-12-06
- 165 pages
- Ebook
- Springer Science & Business Media
-
- 2012-12-06
- 290 pages
- Ebook
- Springer Science & Business Media
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