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.
Tabla de materias
Preface.
1. Algebra.
2. Geometry, m Trigonometry & Hyperbolic Functions.
3. Analytic Geometry.
4. Linear Algebra I.
5. Linear Algebra II.
6. Differential Calculus.
7. Partial Derivatives.
8. Integral Calculus.
9. Special Integrals.
10. Ordinary Differential Equations.
11. Ode Solution Techniques.
12. Partial Differential Equations.
13. Integral Equations.
14. Calculus of Variations.
15. Probability.
16. Probability Distributions.
17. Statistics.
References.
Index.
Sobre el autor
JOHN R. FANCHI, Ph D, 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.