Mathematical Methods for Physicists: A Comprehensive Guide

ISBN-13: 9780123846549 / Angielski / Twarda / 2012 / 1205 str.

USA) Harris Frank E. (University of Florida

Opis

Now in its 7th edition, Mathematical Methods for Physicists continues to provide all the mathematical methods that aspiring scientists and engineers are likely to encounter as students and beginning researchers. This bestselling text provides mathematical relations and their proofs essential to the study of physics and related fields. While retaining the key features of the 6th edition, the new edition provides a more careful balance of explanation, theory, and examples. Taking a problem-solving-skills approach to incorporating theorems with applications, the book's improved focus will help students succeed throughout their academic careers and well into their professions. Some notable enhancements include more refined and focused content in important topics, improved organization, updated notations, extensive explanations and intuitive exercise sets, a wider range of problem solutions, improvement in the placement, and a wider range of difficulty of exercises.

• Revised and updated version of the leading text in mathematical physics
• Focuses on problem-solving skills and active learning, offering numerous chapter problems
• Clearly identified definitions, theorems, and proofs promote clarity and understanding

New to this edition:

• Improved modular chapters
• New up-to-date examples
• More intuitive explanations

Recenzje

"...a thorough handbook about mathematics that is useful in physics."--MAA.org

"This volume is a great collection of essential mathematical tools and techniques used to solve problems in physics, very useful to any student of physics or research professional in the field. It is concentrated to problem-solving art and offers a large amount of problems and exercises."--Zentralblatt MATH 1239

Spis treści

1. Mathematical Preliminaries 2. Determinants and Matrices 3. Vector Analysis 4. Tensors and Differential Forms 5. Vector Spaces 6. Eigenvalue Problems 7. Ordinary Differential Equations 8. Partial Differential Equations 9. Green's Functions 10. Complex Variable Theory 11. Further Topics in Analysis 12. Gamma Function 13. Bessel Functions 14. Legendre Functions 15. Angular Momentum 16. Group Theory 17. More Special Functions 18. Fourier Series 19. Integral Transforms 20. Periodic Systems 21. Integral Equations 22. Mathieu Functions 23. Calculus of Variations 24. Probability and Statistics

O autorze

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.