Frank E. Harris

Mathematics for Physical Science and Engineering (eBook, ePUB)

Symbolic Computing Applications in Maple and Mathematica

• Format: ePub

Produktbeschreibung

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. This book enables professionals to connect their knowledge of mathematics to either or both of the symbolic languages Maple and Mathematica.

The book begins by introducing the reader to symbolic computation and how it can be applied to solve a broad range of practical problems. Chapters cover topics that include: infinite series; complex numbers and functions; vectors and matrices; vector analysis; tensor analysis; ordinary differential equations; general vector spaces; Fourier series; partial differential equations; complex variable theory; and probability and statistics. Each important concept is clarified to students through the use of a simple example and often an illustration.

This book is an ideal reference for upper level undergraduates in physical chemistry, physics, engineering, and advanced/applied mathematics courses. It will also appeal to graduate physicists, engineers and related specialties seeking to address practical problems in physical science.

• 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

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Produktdetails

• Verlag: Elsevier Science & Techn.
• Seitenzahl: 944
• Erscheinungstermin: 24. Mai 2014
• Englisch
• ISBN-13: 9780128010495
• Artikelnr.: 41044283

Autorenporträt

Frank E. Harris was awarded his A. B. (Chemistry) from Harvard University in 1951 and his Ph.D. (Physical Chemistry) from University of California in 1954. The author of 244 research publications and multiple books, Dr. Harris has been a Professor of Physics and Chemistry, University of Utah and Resident Adjunct Professor of Chemistry, Quantum Theory Project, University of Florida. He served on the Editorial Board of the International Journal of Quantum Chemistry, and has been named a Fellow for both the American Institute of Chemists and the American Physical Society.

Inhaltsangabe

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

Rezensionen

"...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 2015

"...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 2014