# Math Refresher for Scientists and Engineers

John Wiley & Sons, Jun 12, 2006 - Mathematics - 330 pages
Expanded coverage of essential math, including integral equations, calculus of variations, tensor analysis, and special integrals

Math Refresher for Scientists and Engineers, Third Edition is specifically designed as a self-study guide to help busy professionals and students in science and engineering quickly refresh and improve the math skills needed to perform their jobs and advance their careers. The book focuses on practical applications and exercises that readers are likely to face in their professional environments. All the basic math skills needed to manage contemporary technology problems are addressed and presented in a clear, lucid style that readers familiar with previous editions have come to appreciate and value.

The book begins with basic concepts in college algebra and trigonometry, and then moves on to explore more advanced concepts in calculus, linear algebra (including matrices), differential equations, probability, and statistics. This Third Edition has been greatly expanded to reflect the needs of today's professionals. New material includes:
* A chapter on integral equations
* A chapter on calculus of variations
* A chapter on tensor analysis
* A section on time series
* A section on partial fractions
* Many new exercises and solutions

Collectively, the chapters teach most of the basic math skills needed by scientists and engineers. The wide range of topics covered in one title is unique. All chapters provide a review of important principles and methods. Examples, exercises, and applications are used liberally throughout to engage the readers and assist them in applying their new math skills to actual problems. Solutions to exercises are provided in an appendix.

Whether to brush up on professional skills or prepare for exams, readers will find this self-study guide enables them to quickly master the math they need. It can additionally be used as a textbook for advanced-level undergraduates in physics and engineering.

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### Contents

 1 ALGEBRA 1 2 GEOMETRY TRIGONOMETRY AND HYPERBOLIC FUNCTIONS 21 3 ANALYTIC GEOMETRY 41 4 LINEAR ALGEBRA I 51 5 LINEAR ALGEBRA II 65 6 DIFFERENTIAL CALCULUS 79 7 PARTIAL DERIVATIVES 93 8 INTEGRAL CALCULUS 107
 12 PARTIAL DIFFERENTIAL EQUATIONS 167 13 INTEGRAL EQUATIONS 181 14 CALCULUS OF VARIATIONS 191 15 TENSOR ANALYSIS 203 16 PROBABILITY 219 17 PROBABILITY DISTRIBUTIONS 229 18 STATISTICS 245 19 SOLUTIONS TO EXERCISES 257

 9 SPECIAL INTEGRALS 117 10 ORDINARY DIFFERENTIAL EQUATIONS 133 11 ODE SOLUTION TECHNIQUES 151

### Popular passages

Page 2 - B (AUB) is the set of all elements that belong to A or to B or to both.
Page 6 - Given real numbers a, and b, exactly one of the following is true: a < b, a = b, or a > b.
Page 2 - The intersection of two sets A and B is the set of all elements that belong to both A and B; that is, all elements common to A and B.

JOHN R. FANCHI, PhD, is Professor of Reservoir and Energy Engineering at Colorado School of Mines. He has worked in both industry and academia. His accomplishments include books on energy, engineering, and physics as well as the development and implementation of several computer models for industry and government.