Mathematics for Physical Science and Engineering
1st Edition
Symbolic Computing Applications in Maple and Mathematica
Symbolic Computing Applications in Maple and Mathematica
Shows how symbolic computing enables solving a broad range of practical problems
Upper level undergrads in physical chemistry, physics, engineering, advanced/applied mathematics courses.
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
"...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