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Analytical and Computational Methods of Advanced Engineering Mathematics :  Analytical and Computational Methods of Springer Version - Grant B. Gustafson

Analytical and Computational Methods of Advanced Engineering Mathematics

Analytical and Computational Methods of Springer Version

Hardcover

Published: June 2009
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(NOTES)This text focuses on the topics which are an essential part of the engineering mathematics course:ordinary differential equations, vector calculus, linear algebra and partial differential equations. Advantages over competing texts: 1. The text has a large number of examples and problems - a typical section having 25 quality problems directly related to the text. 2. The authors use a practical engineering approach based upon solving equations. All ideas and definitions are introduced from this basic viewpoint, which allows engineers in their second year to understand concepts that would otherwise be impossibly abstract. Partial differential equations are introduced in an engineering and science context based upon modelling of physical problems. A strength of the manuscript is the vast number of applications to real-world problems, each treated completely and in sufficient depth to be self-contained. 3. Numerical analysis is introduced in the manuscript at a completely elementary calculus level. In fact, numerics are advertised as just an extension of the calculus and used generally as enrichment, to help communicate the role of mathematics in engineering applications. 4.The authors have used and updated the book as a course text over a 10 year period. 5. Modern outline, as contrasted to the outdated outline by Kreysig and Wylie. 6. This is now a one year course. The text is shorter and more readable than the current reference type manuals published all at around 1300-1500 pages.

G.B. Gustafson and C. H. Wilcox Analytical and Computational Methods of Advanced Engineering Mathematics "This is a modern version of the textbook on applied mathematics for undergraduate engineering students. It provides a quick survey to ordinary differential equations, linear algebra, the Laplace transform, vector analysis, Fourier series and other eigenfunction expansions, and Fourier transforms, with applications to the wave equation and heat equation ... has an excellent set of exercises, and the appendix provides answers."--ZENTRALBLATT MATH

Preface
Introduction
Numerical Analysisp. 1
Ordinary Differential Equations of First Orderp. 76
Ordinary Differential Equations of Higher Orderp. 138
The Laplace Transformp. 218
Linear Algebrap. 276
Vector Analysisp. 364
Partial Differential Equations of Mathematical Physicsp. 440
Fourier Analysis and Sturm-Liouville Theoryp. 472
Boundary Value Problems of Mathematical Physicsp. 556
Appendix: Answers and Hints to Selected Exercisesp. 662
Referencesp. 709
Indexp. 711
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387982656
ISBN-10: 0387982655
Series: Texts In Applied Mathematics
Audience: Tertiary; University or College
Format: Hardcover
Language: English
Number Of Pages: 733
Published: June 2009
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 24.77 x 18.42  x 3.81
Weight (kg): 1.38