Synopses & Reviews
An introduction to engineering mathematics, with emphasis on methods of problem-solving. This expanded 2nd Edition contains updated examples and has been revised to incorporate the use of a calculator and a microcomputer. Each topic is introduced via a real example, followed by both analytical and numerical approaches to the solution. Where a computer approach is helpful, a flow diagram is provided, in some cases supplemented by a BASIC computer program listing. This new edition features a more modular approach to topics, new examples, a greater reliance on numerical methods, and a new chapter on discrete mathematics. The material on the Laplace transform now covers step functions and periodic functions. Includes worked examples.
Table of Contents
Why Mathematics?.
Functions and Sets.
Elementary Ideas on Limits.
Introduction to Statistical Methods.
Sets and Probability.
Discrete Mathematics.
Geometry and Curves.
Linear Algebra I--Vectors.
Linear Algebra II--Linear Equations.
Linear Algebra III--Matrices.
Complex Numbers.
Differentiation.
Non-Linear Equations.
Partial Differentiation.
Approximation of Experimental Data.
Approximation of Functions.
Techniques of Integration.
Applications of Definite Integration.
Discrete Probability Models.
The Normal Distribution and Significance Tests.
Ordinary Differential Equations--General Ideas.
First Order Differential Equations.
Second Order and Higher Order Differential Equations.
Laplace Transforms.
Epilogue.
Appendix.
Answers.
Index.