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Bibliographic Data
Control Number
257843
Date and Time of Latest Transaction
20140930034348.AM
General Information
140930s |||||||||b ||00|||
International Standard Book Number
9780071611626
Cataloging Source
PAGASA-DOST
Main Entry - Personal Name
Gabriel Costa
Bronson, Richard
Title Statement
Schaum's outlines of differential equations with 563 fully solved problems by Richard Bronson and Gabriel Ccosta
Edition Statement
3rd ed
Physical Description
xiv, 385p. illus., figures, tables
Summary, Etc.
Differential equations are among the linchpins of modern mathematics which, along with matrices, are essential for analyzing and solving complex problems in engineering, the natural sciences, economics, and even business. The emergence of low-cost, high-speed computers has spawned new techniques for solving differential equations, which allows problem solvers to model and solve complex problems based on systems of differential equations. As with the two previous editions, this book outlines both the classical theory of differential equations and a myriad of solution techniques, including matrices, series methods, Laplace transforms and several numerical methods.We have added a chapter on modeling and touch upon some qualitative methods that can be used when analytical solutions are diffucult to obtain. A chapter on classical differential equations ( e.g., the equations of Hermite, Legendre, etc.) has been added to give the reader exposure to this rich, historical area of mathematics. This edition also features a chapter on difference equations and parallels this with differential equations. Furthermore, we give the reader an introduction to partial differential equations and the solution techniques of basic integration and separation of variables. Finally, we include an appendix dealing wiith technology touching upon the TI-89 hand-held calculator and the MATHEMATICA software packages. With regard to both solved and supplementary problems, we have added such topics as integral equations of convolution type, Fibonacci numbers, harmonic functions, the heat equation and the wave equation. We have also alluded to both orthogonality and weight functions with respect to classical differential equations and their polynomial solutions. We have retained the emphasis on both initial value problems and differential equations without subsidiary conditions. It is our aim to touch upon virtually every type of problem the student might encounter in a one-semester course on differential equations. Each chapter of the book is divided into three parts. The first outlines salient points of the theory and concisely summarizes solution procedures, drawing attention to potential difficulties and subtleties that too easily can be overlooked. The second part consists of worked-out problems to clarify and, on occasion, to augment the material presented in the first part. Finally, there is a section of problems with answers that readers can use to test their understanding of the material.04
Subject Added Entry - Topical Term
Differential equations -- Calculus -- Mathematical modeling -- Introductory differential equations -- 2006 -- New York04
Mathematics
Location
DOST PAGASA BOOKS mathcab PAG-11-0127 1 4429 Purchase 2011-04-13
Physical Location
Department of Science and Technology
Philippine Atmospheric, Geophysical and Astronomical Services Administration
Digital Copy
Not Available
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