Analytical and Computational Methods of Advanced Engineering Mathematics
By: by Grant B. Gustafson, Calvin H. Wilcox
Contributors: Wilcox, Calvin H.
Series: Texts in Applied Mathematics -- 28; Texts in applied mathematics -- 28.
Publisher: Springer New York
Published: 1998
Place of publication: New York, NY
Language: eng
Format: [electronic resource] /
Number of pages: 733
ISBN-13: 9781461268475; 9781461206330
Subjects: Mathematics; Engineering mathematics; Computer science
Description: (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 Modern outline, as contrasted to the outdated outline by Kreysig and Wylie. 6.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.
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Table of contents: title: Numerical Analysis; title: Ordinary differential equations of the first order; title: Ordinary differential equations of higher order; title: The Laplace transform; title: Linear algebra; title: Vector analysis; title: Partial differential equations of mathematical physics; title: Fourier analysis and Sturm- Liouville theory; title: Boundary value problems of mathematical physics; title: A: Answers and Hints.