Partial Differential Equations
Vol. 1 Foundations and Integral Representations
Seiten
2006
Springer Berlin (Verlag)
978-3-540-34457-5 (ISBN)
Springer Berlin (Verlag)
978-3-540-34457-5 (ISBN)
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This first volume discusses 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 here, reserving functional analytic solution methods for Volume Two.
This comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is put 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. While we solve the partial differential equations via integral representations in this volume, we shall present functional analytic solution methods in the second volume.
This textbook can be chosen for a course over several semesters on a medium level. Advanced readers may study each chapter independently from the others.
This comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is put 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. While we solve the partial differential equations via integral representations in this volume, we shall present functional analytic solution methods in the second volume.
This textbook can be chosen for a course over several semesters on a medium level. Advanced readers may study each chapter independently from the others.
Differentiation and Integration on Manifolds.- Foudations of Functional Analysis.- Brouwer´s Degree of Mapping with Geometric Applications.- Generalized Analytic Functions.- Potential Theory and Spherical Harmonics.- Linear Partial Differential Equations in Rn.
| Reihe/Serie | Universitext |
|---|---|
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Gewicht | 790 g |
| Einbandart | Paperback |
| Themenwelt | Mathematik / Informatik ► Mathematik |
| Schlagworte | Differential Geometry • Functional Analysis • Funktionalanalysis • Partial differential equations • Partielle Differenzialgleichungen • Potentialtheorie • Potential Theory |
| ISBN-10 | 3-540-34457-8 / 3540344578 |
| ISBN-13 | 978-3-540-34457-5 / 9783540344575 |
| Zustand | Neuware |
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