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Analytical and Computational Methods of Advanced Engineering Mathematics

  • Textbook
  • © 1998

Overview

Authors:
  1. Grant B. Gustafson

    1. Department of Mathematics, University of Utah, Salt Lake City, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Calvin H. Wilcox

    1. Department of Mathematics, University of Utah, Salt Lake City, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Texts in Applied Mathematics (TAM, volume 28)

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Table of contents (9 chapters)

  1. Front Matter

    Pages i-xxii
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  2. Numerical Analysis

    • Grant B. Gustafson, Calvin H. Wilcox
    Pages 1-75

  3. Ordinary Differential Equations of First Order

    • Grant B. Gustafson, Calvin H. Wilcox
    Pages 76-137

  4. Ordinary Differential Equations of Higher Order

    • Grant B. Gustafson, Calvin H. Wilcox
    Pages 138-217

  5. The Laplace Transform

    • Grant B. Gustafson, Calvin H. Wilcox
    Pages 218-275

  6. Linear Algebra

    • Grant B. Gustafson, Calvin H. Wilcox
    Pages 276-363

  7. Vector Analysis

    • Grant B. Gustafson, Calvin H. Wilcox
    Pages 364-439

  8. Partial Differential Equations of Mathematical Physics

    • Grant B. Gustafson, Calvin H. Wilcox
    Pages 440-471

  9. Fourier Analysis and Sturm-Liouville Theory

    • Grant B. Gustafson, Calvin H. Wilcox
    Pages 472-555

  10. Boundary Value Problems of Mathematical Physics

    • Grant B. Gustafson, Calvin H. Wilcox
    Pages 556-661

  11. Back Matter

    Pages 662-733
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About this book

(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.

Reviews

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

Authors and Affiliations

  • Department of Mathematics, University of Utah, Salt Lake City, USA

    Grant B. Gustafson, Calvin H. Wilcox

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