Analytical and Computational Methods of Advanced Engineering Mathematics

  • Grant B. Gustafson
  • Calvin H. Wilcox

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

Table of contents

  1. Front Matter
    Pages i-xxii
  2. Grant B. Gustafson, Calvin H. Wilcox
    Pages 1-75
  3. Grant B. Gustafson, Calvin H. Wilcox
    Pages 76-137
  4. Grant B. Gustafson, Calvin H. Wilcox
    Pages 138-217
  5. Grant B. Gustafson, Calvin H. Wilcox
    Pages 218-275
  6. Grant B. Gustafson, Calvin H. Wilcox
    Pages 276-363
  7. Grant B. Gustafson, Calvin H. Wilcox
    Pages 364-439
  8. Grant B. Gustafson, Calvin H. Wilcox
    Pages 440-471
  9. Grant B. Gustafson, Calvin H. Wilcox
    Pages 472-555
  10. Grant B. Gustafson, Calvin H. Wilcox
    Pages 556-661
  11. Back Matter
    Pages 662-733

About this book

Introduction

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 Modern outline, as contrasted to the outdated outline by Kreysig and Wylie. 6.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

Keywords

Analysis Boundary value problem Vibration algebra linear algebra linear optimization modeling numerical analysis numerical methods wave equation

Authors and affiliations

  • Grant B. Gustafson
    • 1
  • Calvin H. Wilcox
    • 1
  1. 1.Department of MathematicsUniversity of UtahSalt Lake CityUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-0633-0
  • Copyright Information Springer-Verlag New York, Inc. 1998
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-6847-5
  • Online ISBN 978-1-4612-0633-0
  • Series Print ISSN 0939-2475
  • About this book
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