Introductory engineering mathematics /

Introductory engineering mathematics /

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This text serves as a concise introduction to the ocean of information collectively known as "Engineering Mathematics." Admittedly, compiling everything into a short book that is useful to any audience is an impossible task; therefore, we picked a few main ideas holding up the mathematics...

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Bibliographic Details
Main Authors: Reeping, David (Author), Reid, Kenneth (Author)
Format: Electronic eBook
Language:English
Published: New York, [New York] (222 East 46th Street, New York, NY 10017) : Momentum Press, 2017.
Edition:First edition.
Series:General engineering and K-12 engineering education collection.
Subjects:
Engineering mathematics.
calculus
first year engineering
graphing
problem solving
systems
Online Access:An electronic book accessible through the World Wide Web; click to view
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Table of Contents:
  • 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
  • Index.

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