Partial Differential Equations I | Basic Theory

Michael E. Taylor

ISBN 10: 3031338618 / ISBN 13: 9783031338618

Published by Springer International Publishing, 2024

About this Item

Partial Differential Equations I | Basic Theory | Michael E. Taylor | Taschenbuch | Englisch | 2024 | Springer International Publishing | EAN 9783031338618 | Verantwortliche Person für die EU: Springer-Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, productsafety[at]springernature[dot]com | Anbieter: preigu.

Seller Inventory # 130873516

Bibliographic Details

• Title: Partial Differential Equations I | Basic Theory
• Publisher: Springer International Publishing
• Publication Date: 2024
• Language: English
• ISBN 10: 3031338618
• ISBN 13: 9783031338618
• Binding: Taschenbuch
• Edition: 3rd Edition
• Condition: Neu
• Dimensions: 235W x 155H x 37D millimeters 235 millimeters width by 155 millimeters height by 37 millimeters depth
• Weight: 1235 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces. These tools are then applied to the treatment of basic problems in linear PDE, including the Laplace equation, heat equation, and wave equation, as well as more general elliptic, parabolic, and hyperbolic equations. 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.  In 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)

About the Author

Michael E. Taylor is a Professor at North Carolina University in the Department of Mathematics.