Introductory Engineering Mathematics
Introductory Engineering Mathematics
Editor/Author
Reeping, David
Publication Year: 2016
Publisher: Momentum Press
Single-User Purchase Price:
$65.00

Unlimited-User Purchase Price:
$97.50
ISBN: 978-1-60-650909-8
Category: Mathematics & Statistics - Mathematics
Image Count:
152
Book Status: Available
Table of Contents
This work on mathematics used for engineering will introduce mathematics as the "language of engineering," the framework in which engineering problems are understood and solved.
Table of Contents
- LIST OF FIGURES
- LIST OF TABLES
- ACKNOWLEDGMENTS
- 1 MOTIVATION FOR ENGINEERING MATHEMATICS
- 1.1 Abstraction in Engineering
- 1.2 Engineering Systems as a Starting Point
- 2 SOLVING COMMON ENGINEERING PROBLEMS
- 2.1 Choice of Coordinate Systems
- 2.1.1 Rectangular Coordinates
- 2.1.1.1 Moving to a Third Dimension
- 2.1.2 Polar Coordinates
- 2.1.3 Vectors
- 2.1.3.1 Vector Addition and Subtraction
- 2.1.3.2 Vector Multiplication
- 2.1.4 Manipulating Space
- 2.1.5 Complex Numbers
- 2.2 Graphical Relationships—Angles
- 2.2.1 Useful Angle Theorems
- 2.2.2 Ideas in Trigonometry
- 2.2.2.1 Laws of Sines and Cosines
- 3 EMPLOYING FUNCTIONS
- 3.1 Relations to Functions
- 3.1.1 Composition
- 3.1.2 Inverse Functions
- 3.2 Fitting Data
- 3.3 Locating Roots of a Function
- 3.3.1 Locating Roots Within a Tolerance, or “Getting Close Enough”
- 3.4 Functional Behavior
- 4 USING CALCULUS TO SOLVE PROBLEMS
- 4.1 Differential Calculus
- 4.2 Integral Calculus
- 5 INPUTS AND OUTPUTS
- 5.1 Classifications
- 5.2 Common Manipulations
- 5.3 Special Inputs
- 5.3.1 Heaviside Unit Step—the Step Function
- 5.3.2 Dirac’s Delta Function: The Impulse Function
- 5.4 Inputs in Terms of an Infinite Series
- 5.4.1 Power Series
- 5.4.2 Fourier Series
- 6 ENGINEERING SYSTEMS
- 6.1 A Summary and Where to Go from Here