An Introduction to Partial Differential Equations
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Home > Mathematics and Science Textbooks > Mathematics > Calculus and mathematical analysis > Differential calculus and equations > An Introduction to Partial Differential Equations: v. 13(v. 13 Texts in Applied Mathematics)
An Introduction to Partial Differential Equations: v. 13(v. 13 Texts in Applied Mathematics)

An Introduction to Partial Differential Equations: v. 13(v. 13 Texts in Applied Mathematics)


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About the Book

Partial differential equations are fundamental to the modeling of natural phenomena; they arise in every field of science. Consequently, the desire to understand the solutions of these equations has always had a prominent place in the efforts of mathematicians; it has inspired such diverse fields as complex function theory, functional analysis, and algebraic topology. Unfortunately, in the standard graduate curriculum, the subject of partial differential equations is seldom taught with the same thoroughness as algebra or integration theory. The present book is aimed at rectifying this situation. It is based on a four-semester course taught at Virginia Polytechnic Institute and State University. The goal of this course was to provide the background necessary to initiate work on a PhD thesis in partial differential equations. The level of the book is aimed at beginning graduate students. Prerequisites include a truly advanced calculus course and basic complex variables, but no knowledge is required of Lebesgue integration theory or functional analysis.

Table of Contents:
Preface; Introduction; Characteristics; Conservation Laws and Shocks;Maximum Principles; Distributions; Function Spaces; Operator Theory ;Linear Elliptic Equations; Nonlinear Elliptic Equations; EnergyMethods for Evolution Problems; Semigroup Methods; Index.


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Product Details
  • ISBN-13: 9780387979526
  • Publisher: Springer-Verlag New York Inc.
  • Publisher Imprint: Springer-Verlag New York Inc.
  • Height: 230 mm
  • Returnable: N
  • Sub Title: v. 13
  • ISBN-10: 0387979522
  • Publisher Date: 19 Sep 1996
  • Binding: Hardback
  • Language: English
  • Series Title: v. 13 Texts in Applied Mathematics


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