Description
Book SynopsisProvides the mathematical methods that aspiring scientists and engineers are likely to encounter as students and beginning researchers. This book also provides mathematical relations and their proofs essential to the study of physics and related fields. It focuses on problem-solving skills and active learning, offering numerous chapter problems.
Trade Review"...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
Table of Contents1. 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