Description

 Mathematics for Physical Science and Engineering is a complete text in mathematics for physical science that includes the use of symbolic computation to illustrate the mathematical concepts and enable the solution of a broader range of practical problems. It enables professionals to connect their knowledge of mathematics to either or both of the symbolic languages Maple and Mathematica. Due to the increasing importance of symbolic computation, the book begins by introducing that topic, before delving into its core mathematical topics. Each of those subjects is described in principle, and then applied through symbolic computing.The aim of the text is designed to clarify and optimize the efficiency of the student's acquisition of mathematical understanding and skill and to provide students with a mathematical toolbox that will rapidly become of routine use in a scientific or engineering career.

Key Features

  • Clarifies each important concept to students through the use of a simple example and often an illustration
  • Provides quick-reference for students through multiple appendices, including an overview of terms in most commonly used applications (Mathematica, Maple)
  • Shows how symbolic computing enables solving a broad range of practical problems

Readership

Upper level undergrads in physical chemistry, physics, engineering, advanced/applied mathematics courses.

Table of Contents

1. Computers, Science, and Engineering
2. Infinite Series
3. Complex Numbers and Functions
4. Vectors and Matrices
5. Matrix Transformations
6. Multidimensional Problems
7. Vector Analysis
8. Tensor Analysis
9. Gamma Function
10. Ordinary Differential Equations
11. General Vector Spaces
12. Fourier Series
13. Integral Transforms
14. Series Solutions: Important ODEs
14. General Vector Spaces
15. Partial Differential Equations
16. Calculus of Variations
17. Complex Variable Theory
18. Probability and Statistics
Appendix A Methods for Making Plots
Appendix B Printing Tables of Function Values
Appendix C Data Structures for Symbolic Computing
Appendix D Symbolic Computing of Recurrences Formulas
Appendix E Partial Fractions
Appendix F Mathematical Induction
Appendix G Constrained Extrema
Appendix H Symbolic Computing for Vector Analysis
Appendix I Maple Tensor Utilities
Appendix J Wronskians in ODE Theory
Appendix K Maple Code for Associated Legendre Functions and Spherical Harmonics
Index

Details

No. of pages:
944
Language:
English
Copyright:
© 2014
Published:
Imprint:
Academic Press
eBook ISBN:
9780128010495
Print ISBN:
9780128010006

About the author

Frank E. Harris

Affiliations and Expertise

University of Florida, USA

Reviews

"...a remarkably clear and impressively well-balanced introduction to mathematical methods for physicists and engineers…it does a very good job of picking the most important techniques."--MAA.org, Aug-15

"...designed to clarify and optimize the efficiency of the student's acquisition of mathematical understanding and skill and...provide students with a mathematical toolbox that will rapidly become of routine use in a scientific or engineering career."--Zentralblatt MATH, Sep-14