Mathematical Methods for Physics: 45th Anniversary Edition

ISBN-13: 9780367479732 / Angielski / Miękka / 2022 / 476 str.

H. W. Wyld; Gary Powell

Opis

This book demonstrates how many physics problems resolve into similar inhomogeneous partial differential equations and the mathematical techniques for solving them.

 

Spis treści

Part I Homogeneous Boundary Value Problems and Special Functions 1. The Partial Differential Equations of Mathematical Physics 2. Separation of Variables and Ordinary Differential Equations 3. Spherical Harmonics and Applications 4. Bessel Functions and Applications 5. Normal Mode Eigenvalue Problems 6. Spherical Bessel Functions and Applications Part II Inhomogeneous Problems, Green’s Functions, and Integral Equations 7. Dielectric and Magnetic Media 8. Green's Functions: Part One 9. Green’s Functions: Part Two 10. Integral Equations Part III Complex Variable Techniques 11. Complex Variables; Basic Theory 12. Evaluation of Integrals 13. Dispersion Relations 14. Special Functions 15. Integral Transforms in the Complex Plane

O autorze

Henry William "Bill" Wyld was Emeritus Professor of Physics at the University of Illinois at Urbana Champaign. Wyld was a theoretical elementary particle physicist, gifted with an understanding that was imaginative, profound, and clear. In his early career, Wyld worked in low- and high-energy physics on weak interactions and several problems related to K-meson proton scattering. Wyld is particularly noted for his significant theoretical contributions related to the effects of the breakdown of quantum mechanical symmetry properties, written shortly after the discovery of parity violation in 1957, that presented detailed calculations of a number of effects to be expected. This work enabled various experimental groups to correlate and evaluate their results. Wyld took advantage of supercomputing capabilities as these were being developed to run large-data simulations; he always pushed for more computing power to answer fundamental problems.