Texts in Applied Mathematics

Analytical and Computational Methods of Advanced Engineering Mathematics

Authors: Gustafson, Grant B., Wilcox, Calvin H.

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Hardcover $119.99
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About this Textbook

(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 Modern outline, as contrasted to the outdated outline by Kreysig and Wylie. 6.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


Table of contents (9 chapters)

  • Numerical Analysis

    Gustafson, Grant B. (et al.)

    Pages 1-75

  • Ordinary Differential Equations of First Order

    Gustafson, Grant B. (et al.)

    Pages 76-137

  • Ordinary Differential Equations of Higher Order

    Gustafson, Grant B. (et al.)

    Pages 138-217

  • The Laplace Transform

    Gustafson, Grant B. (et al.)

    Pages 218-275

  • Linear Algebra

    Gustafson, Grant B. (et al.)

    Pages 276-363

Buy this book

eBook $79.99
price for USA (gross)
  • ISBN 978-1-4612-0633-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $119.99
price for USA
  • ISBN 978-0-387-98265-6
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.99
price for USA
  • ISBN 978-1-4612-6847-5
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Analytical and Computational Methods of Advanced Engineering Mathematics
Authors
Series Title
Texts in Applied Mathematics
Series Volume
28
Copyright
1998
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4612-0633-0
DOI
10.1007/978-1-4612-0633-0
Hardcover ISBN
978-0-387-98265-6
Softcover ISBN
978-1-4612-6847-5
Series ISSN
0939-2475
Edition Number
1
Number of Pages
XXIV, 733
Topics