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Item Details
Title: INTRODUCTION TO PARTIAL DIFFERENTIAL EQUATIONS
By: Peter Olver
Format: Hardback

List price: £44.99
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ISBN 10: 3319020986
ISBN 13: 9783319020983
Availability: Usually dispatched within 3-5 days.
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Stock: Currently 1item in stock
Publisher: SPRINGER INTERNATIONAL PUBLISHING AG
Pub. date: 9 November, 2013
Edition: 2014, Corr. 3rd Printing 2016 ed.
Series: Undergraduate Texts in Mathematics
Pages: 636
Description: Introduction to Partial Differential Equations
Synopsis: This textbook is designed for a one year course covering the fundamentals of partial differential equations, geared towards advanced undergraduates and beginning graduate students in mathematics, science, engineering, and elsewhere. The exposition carefully balances solution techniques, mathematical rigor, and significant applications, all illustrated by numerous examples. Extensive exercise sets appear at the end of almost every subsection, and include straightforward computational problems to develop and reinforce new techniques and results, details on theoretical developments and proofs, challenging projects both computational and conceptual, and supplementary material that motivates the student to delve further into the subject. No previous experience with the subject of partial differential equations or Fourier theory is assumed, the main prerequisites being undergraduate calculus, both one- and multi-variable, ordinary differential equations, and basic linear algebra.While the classical topics of separation of variables, Fourier analysis, boundary value problems, Green's functions, and special functions continue to form the core of an introductory course, the inclusion of nonlinear equations, shock wave dynamics, symmetry and similarity, the Maximum Principle, financial models, dispersion and solutions, Huygens' Principle, quantum mechanical systems, and more make this text well attuned to recent developments and trends in this active field of contemporary research. Numerical approximation schemes are an important component of any introductory course, and the text covers the two most basic approaches: finite differences and finite elements.
Illustrations: black & white illustrations
Publication: Switzerland
Imprint: Springer International Publishing AG
Returns: Returnable
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