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Partial Differential Equations: Foundations and Integral Representations

✍ Scribed by Friedrich Sauvigny

Publisher
Springer
Year
2006
Tongue
English
Leaves
452
Series
Universitext
Edition
1
Category
Library
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✦ 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

Partial differential equations. Foundati
πŸ“ Partial differential equations. Foundations and integral representations
✍ Sauvigny F. πŸ“‚ Library πŸ“… 2006 πŸ› Springer 🌐 English

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 topic

Partial Differential Equations 1: Founda
πŸ“ Partial Differential Equations 1: Foundations and Integral Representations
✍ Friedrich Sauvigny πŸ“‚ Library πŸ“… 2006 πŸ› Springer 🌐 English

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 topic

Partial Differential Equations 1: Founda
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✍ Friedrich Sauvigny (auth.) πŸ“‚ Library πŸ“… 2012 πŸ› Springer-Verlag London 🌐 English

<p><p>This two-volume textbook provides comprehensive coverage of partial differential equations, spanning elliptic, parabolic, and hyperbolic types in two and several variables.</p><p>In this first volume, special emphasis is placed on geometric and complex variable methods involving integral repre