Introduction to Partial Differential Equations (Undergraduate Texts in Mathematics)

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Harry Potter. Popular Features. New Releases. Introduction to Partial Differential Equations. Description 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.

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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.

Introduction to Partial Differential Equations (Undergraduate Texts in Mathematics) « MathQED

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. Product details Format Hardback pages Dimensions x x Other books in this series. Add to basket. Understanding Analysis Stephen Abbott. Mathematics and Its History John Stillwell.

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Introduction to Partial Differential Equations (Undergraduate Texts in Mathematics)

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Combinatorics and Graph Theory John M. The many exercises help students sharpen their computational skills by encouraging them to think about concepts and derivations. The student who reads this book carefully and solves most of the problems will have a sound knowledge base for a second-year partial differential equations course where careful proofs are constructed or for upper division courses in science and engineering where detailed applications of partial differential equations are introduced.

To give this text an even wider appeal, the second edition has been updated with a new chapter on partial differential equation models in biology, and with various examples from the life sciences that have been added throughout the text. There are more exercises, as well as solutions and hints to some of the problems at the end of the book. While every attempt has been made to ensure stock availability, occasionally we do run out of stock at our stores.

Prices and stock availability may vary between Webstore and our Retail Stores. Fulfilment Centre Email: sims kinokuniya. Check Retail Stores' phone number. Undergraduate Texts in Mathematics. Undergraduate Texts in Mathematics are generally aimed at third- and fourth-year undergraduate mathematics students at North American universities.

These texts strive to provide students and teachers with new perspectives and novel approaches. The books include motivation that guides the reader to an appreciation of interrelations among different aspects of the subject. They feature examples that illustrate key concepts as well as exercises that strengthen understanding. Share this. Titles in this series. Refine Search. Content Type.

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Release Date. Showing results. Because it begins by carefully establishing a familiarity with …. Textbook Mathematics of Finance Saari, D. Readers are provided with a ….