Math Refresher for Scientists and Engineers

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

Math Refresher for Scientists and Engineers, Third Edition isspecifically designed as a self-study guide to help busyprofessionals and students in science and engineering quicklyrefresh and improve the math skills needed to perform their jobsand advance their careers. The book focuses on practicalapplications and exercises that readers are likely to face in theirprofessional environments. All the basic math skills needed tomanage contemporary technology problems are addressed and presentedin a clear, lucid style that readers familiar with previouseditions have come to appreciate and value.

The book begins with basic concepts in college algebra andtrigonometry, and then moves on to explore more advanced conceptsin calculus, linear algebra (including matrices), differentialequations, probability, and statistics. This Third Edition has beengreatly expanded to reflect the needs of today's professionals. Newmaterial 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 skillsneeded by scientists and engineers. The wide range of topicscovered in one title is unique. All chapters provide a review ofimportant principles and methods. Examples, exercises, andapplications are used liberally throughout to engage the readersand assist them in applying their new math skills to actualproblems. 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 quicklymaster the math they need. It can additionally be used as atextbook for advanced-level undergraduates in physics andengineering.
 

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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

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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.

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About the author (2006)

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.

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