ABSTRACT

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.

chapter Chapter 1|8 pages

Overview

chapter Chapter 2|10 pages

Physical Processes

chapter Chapter 3|18 pages

Modeling of Physical Processes

chapter Chapter 4|40 pages

Calculus

chapter Chapter 5|22 pages

Linear Algebra

chapter Chapter 6|20 pages

Nonlinear Algebra

Root Finding

chapter Chapter 7|20 pages

Introduction to Ordinary Differential Equations

chapter Chapter 8|12 pages

Laplace Transforms

chapter Chapter 9|18 pages

Numerical Solutions of Ordinary Differential Equations

chapter Chapter 10|24 pages

First-Order Ordinary Differential Equations

chapter Chapter 11|36 pages

Second-Order Ordinary Differential Equations