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Partial Differential Equations. Foundations and Integral Representations Part 1

✍ Scribed by Friedrich Sauvigny

Book ID
127420067
Publisher
Springer
Year
2006
Tongue
English
Weight
3 MB
Series
Universitext
Edition
1
Category
Library
City
Berlin
ISBN
3540344616

No coin nor oath required. For personal study only.

✦ Synopsis

This comprehensive two-volume textbook presentsΒ 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.

πŸ“œ SIMILAR VOLUMES

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✍ Yu.V. Egorov, M.A. Shubin, Yu.V. Egorov, M.A. Shubin, R. Cooke πŸ“‚ Library πŸ“… 2001 πŸ› Springer 🌐 English βš– 2 MB

From the reviews: "...I think the volume is a great success ... a welcome addition to the literature ..." The Mathematical Intelligencer, 1993 "... According to the authors ... the work was written for the nonspecialists and physicists but in my opinion almost every specialist will find something n