Overview

This book offers a self-contained introduction to partial differential equations (PDEs), primarily focusing on linear equations, and also providing perspective on nonlinear equations. The treatment is mathematically rigorous with a generally theoretical layout, with indications to some of the physical origins of PDEs. The Second Edition is rewritten to incorporate years of classroom feedback, to correct errors and to improve clarity. The exposition offers many examples, problems and solutions to enhance understanding. Requiring only advanced differential calculus and some basic Lp theory, the book will appeal to advanced undergraduates and graduate students, and to applied mathematicians and mathematical physicists.

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9780817645519

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Reviews

From Reviews of the First Edition: <p> This is a well-written, self-contained, elementary introduction to linear, partial differential equations. <p>--ZentrallblattMATH <p> The author's intent is to present an elementary introduction to pdes... In contrast to other elementary textbooks on pdes...much more material is presented on the three basic equations: Laplace's equation, the heat and wave equations...The presentation is clear and well organized...The text is complemented by numerous exercises and hints to proofs. <p>--Mathematical Reviews <p> This book certainly can be recommended as an introduction to PDEs in mathematical faculties and technical universities. <p>--Applications of Mathematics

From Reviews of the First Edition: This is a well-written, self-contained, elementary introduction to linear, partial differential equations. --ZentrallblattMATH The author's intent is to present an elementary introduction to pdes... In contrast to other elementary textbooks on pdes...much more material is presented on the three basic equations: Laplace's equation, the heat and wave equations...The presentation is clear and well organized...The text is complemented by numerous exercises and hints to proofs. --Mathematical Reviews This book certainly can be recommended as an introduction to PDEs in mathematical faculties and technical universities. --Applications of Mathematics

From Reviews of the First Edition: This is a well-written, self-contained, elementary introduction to linear, partial differential equations. --ZentrallblattMATH The author's intent is to present an elementary introduction to pdes... In contrast to other elementary textbooks on pdes...much more material is presented on the three basic equations: Laplace's equation, the heat and wave equations...The presentation is clear and well organized...The text is complemented by numerous exercises and hints to proofs. --Mathematical Reviews This book certainly can be recommended as an introduction to PDEs in mathematical faculties and technical universities. --Applications of Mathematics

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