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Sinopsis
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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Críticas
From the reviews: "Friedrich Sauvigny’s remarkable two-volume opus ... constitutes the author’s attempt to treat the beautiful and difficult subject of PDEs in a thorough and instructive way ... . is a fine place to learn PDEs with the goal of doing serious work in the field. ... Friedrich Sauvigny’s scholarship is exemplary and thorough; at the same time his book is both broad and deep and is a pleasure to read." (Michael Berg, MathDL, February, 2007) “The aim of the author is to present the entire domain of Partial Differential Equations (PDE’s) - so reach in theories and applications - to students at the intermediate level. ... the present textbook can be used for a course extending over several semesters. For advanced readers, each chapter may be studied independently from the others.” (Lubomira Softova, Zentralblatt MATH, Vol. 1198, 2010)
Reseña del editor
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.
"Sobre este título" puede pertenecer a otra edición de este libro.
- EditorialSpringer Verlag
- Año de publicación2006
- ISBN 10 3540344578
- ISBN 13 9783540344575
- EncuadernaciónTapa blanda
- IdiomaInglés
- Número de páginas451
- Contacto del fabricanteno disponible
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Edición internacional
Partial Differential Equations, Volumes -1
Edición internacionalLibrería: Romtrade Corp., STERLING HEIGHTS, MI, Estados Unidos de America
Calificación del vendedor: 5 de 5 estrellas
Condición: New. Brand New. Soft Cover International Edition. Different ISBN and Cover Image. Priced lower than the standard editions which is usually intended to make them more affordable for students abroad. The core content of the book is generally the same as the standard edition. The country selling restrictions may be printed on the book but is no problem for the self-use. This Item maybe shipped from US or any other country as we have multiple locations worldwide. Nº de ref. del artículo: ABNR-241787
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Partial Differential Equations: Vol. 1 Foundations and Integral Representations (Universitext)
Librería: dsmbooks, Liverpool, Reino Unido
Calificación del vendedor: 4 de 5 estrellas
Paperback. Condición: Very Good. Very Good. book. Nº de ref. del artículo: D8S0-3-M-3540344578-6
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