BÜCHER VERSANDKOSTENFREI INNERHALB DEUTSCHLANDS
Partial Differential Equations II
Qualitative Studies of Linear Equations
3., Third Edition 2023
Springer
ISBN 978-3-031-33702-4
Standardpreis
Bibliografische Daten
Fachbuch
Buch. Softcover
3., Third Edition 2023. 2024
14 s/w-Abbildungen.
In englischer Sprache
Umfang: xxiii, 687 S.
Format (B x L): 15,5 x 23,5 cm
Verlag: Springer
ISBN: 978-3-031-33702-4
Weiterführende bibliografische Daten
Das Werk ist Teil der Reihe: Applied Mathematical Sciences
Produktbeschreibung
This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centered about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion. The book is targeted at graduate students in mathematics and at professional mathematicians with an interest in partial differential equations, mathematical physics, differential geometry, harmonic analysis, and complex analysis.
The third edition further expands the material by incorporating new theorems and applications throughout the book, and by deepening connections and relating concepts across chapters. It includes new sections on rigid body motion, on probabilistic results related to random walks, on aspects of operator theory related to quantum mechanics, on overdetermined systems, and on the Euler equation for incompressible fluids. The appendices have also been updated with additional results, ranging from weak convergence of measures to the curvature of Kahler manifolds.
Michael E. Taylor is a Professor of Mathematics at the University of North Carolina, Chapel Hill, NC.
Review of first edition: "These volumes will be read by several generations of readers eager to learn the modern theory of partial differential equations of mathematical physics and the analysis in which this theory is rooted."
(Peter Lax, SIAM review, June 1998)
Autorinnen und Autoren
Kundeninformationen
Three volumes offer complete reference to pde’s Includes both theory and applications Lots of examples and exercises
Produktsicherheit
Hersteller
Springer Nature Customer Service Center GmbH
Europaplatz 3
69115 Heidelberg, DE
ProductSafety@springernature.com
Rezensionen
