California State University, Northridge WordmarkOviatt Library WordmarkOviatt Library Catalog Wordmark
Author Coleman, Matthew P.
Title An introduction to partial differential equations with MATLAB / Matthew P. Coleman.
Published Boca Raton, FL : CRC Press, [2013]
Book Cover

 Floor4  QA371.35 .C66 2013    IN LIBRARY
Edition Second edition.
Description xiv, 669 pages : illustrations ; 25 cm.
Content Type text
Format volume
Series Chapman & Hall/CRC applied mathematics and nonlinear science series
Chapman & Hall/CRC applied mathematics and nonlinear science series.
Bibliography Includes bibliographical references and index.
Summary "Preface Many problems in the physical world can be modeled by partial differential equations, from applications as diverse as the flow of heat, the vibration of a ball, the propagation of sound waves, the diffusion of ink in a glass of water, electric and magnetic fields, the spread of algae along the ocean's surface, the fluctuation in the price of a stock option, and the quantum mechanical behavior of a hydrogen atom. However, as with any area of applied mathematics, the field of PDEs is interesting not only because of its applications, but because it has taken on a mathematical life of its own. The author has written this book with both ideas in mind, in the hope that the student will appreciate the usefulness of the subject and, at the same time, get a glimpse into the beauty of some of the underlying mathematics. This text is suitable for a two-semester introduction to partial differential equations and Fourier series for students who have had basic courses in multivariable calculus (through Stokes's and the Divergence Theorems) and ordinary differential equations. Over the years, the author has taught much of the material to undergraduate mathematics, physics and engineering students at Penn State and Fairfield Universities, as well as to engineering graduate students at Penn State and mathematics and engineering graduate students at Fairfield. It is assumed that the student has not had a course in real analysis. Thus, we treat pointwise convergence of Fourier series and do not talk about mean-square convergence until Chapter 8 (and, there, in terms of the Riemann, and not the Lebesgue, integral). Further, we feel that it is not appropriate to introduce so subtle an idea as uniform convergence in this setting, so we discuss it only in the Appendices"-- Provided by publisher.
Subject Differential equations, Partial -- Computer-assisted instruction.
ISBN 1439898464 (hardback)
9781439898468 (hardback)
1439898472 (ebook)
9781439898475 (ebook)
1439898499 (ebook)
9781439898499 (ebook)
OCLC number 822959644