Applied Engineering Mathematics  book cover
1st Edition

Applied Engineering Mathematics





ISBN 9780367432775
Published May 18, 2020 by CRC Press
246 Pages 143 B/W Illustrations

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Book Description

Undergraduate engineering students need good mathematics skills. This textbook supports this need by placing a strong emphasis on visualization and the methods and tools needed across the whole of engineering. The visual approach is emphasized, and excessive proofs and derivations are avoided. The visual images explain and teach the mathematical methods. The book’s website provides dynamic and interactive codes in Mathematica to accompany the examples for the reader to explore on their own with Mathematica or the free Computational Document Format player, and it provides access for instructors to a solutions manual.

  • Strongly emphasizes a visual approach to engineering mathematics
  • Written for years 2 to 4 of an engineering degree course
  • Website offers support with dynamic and interactive Mathematica code and instructor’s solutions manual

Brian Vick is an associate professor at Virginia Tech in the United States and is a longtime teacher and researcher. His style has been developed from teaching a variety of engineering and mathematical courses in the areas of heat transfer, thermodynamics, engineering design, computer programming, numerical analysis, and system dynamics at both undergraduate and graduate levels.

eResource material is available for this title at www.crcpress.com/9780367432768.

Table of Contents

1 Overview 1

2 Physical Processes 9

3 Modeling of Physical Processes 19

4 Calculus 37

5 Linear Algebra 77

6 Nonlinear Algebra: Root Finding 99

7 Introduction to Ordinary Differential Equations 119

8 Laplace Transforms 139

9 Numerical Solutions of Ordinary Differential Equations 151

10 First-Order Ordinary Differential Equations 169

11 Second-Order Ordinary Differential Equations 193

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Author(s)

Biography

Brian Vick is an associate professor at Virginia Tech in US, and a long time teacher and researcher. His style has been developed from teaching a variety of engineering and mathematical courses in the areas of heat transfer, thermodynamics, engineering design, computer programming, numerical analysis, and system dynamics at both the undergraduate and graduate levels.

Reviews

"This slender book on applied mathematics packs a lot of material into 11 chapters. ...[The author] believes that visualization methods are superior for making the analysis meaningful and, to that end, he employs graphs, diagrams, and tables."

-- N. Sadanand in Choice