Cantitate/Preț
Produs

The Principle of Least Action: History and Physics

Autor Alberto Rojo, Anthony Bloch
en Limba Engleză Hardback – 28 mar 2018
The principle of least action originates in the idea that, if nature has a purpose, it should follow a minimum or critical path. This simple principle, and its variants and generalizations, applies to optics, mechanics, electromagnetism, relativity, and quantum mechanics, and provides an essential guide to understanding the beauty of physics. This unique text provides an accessible introduction to the action principle across these various fields of physics, and examines its history and fundamental role in science. It includes - with varying levels of mathematical sophistication - explanations from historical sources, discussion of classic papers, and original worked examples. The result is a story that is understandable to those with a modest mathematical background, as well as to researchers and students in physics and the history of physics.
Citește tot Restrânge

Preț: 89203 lei

Preț vechi: 103724 lei
-14% Nou

Puncte Express: 1338

Preț estimativ în valută:
17073 17595$ 14414£

Carte tipărită la comandă

Livrare economică 03-17 martie

Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9780521869027
ISBN-10: 0521869021
Pagini: 266
Ilustrații: 96 b/w illus. 1 table
Dimensiuni: 179 x 254 x 16 mm
Greutate: 0.67 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom

Cuprins

1. Introduction; 2. Prehistory of variational principles; 3. An excursio to Newton's Principia; 4. The optical-mechanical analogy, part I; 5. D'Alembert, Lagrange, and the statics-dynamics analogy; 6. The optical mechanical analogy, part II: the Hamilton–Jacobi equation; 7. Relativity and least action; 8. The road to quantum mechanics; Appendix A. Newton's solid of least resistance using calculus; Appendix B. Original statement of D'Alembert's principle; Appendix C. Equations of motion of MacCullagh's ether; Appendix D. Characteristic function for a parabolic Keplerian orbit; Appendix E. Saddle paths for reections on a mirror; Appendix F. Kinetic caustics from quantum motion in one dimension; Appendix G. Einstein's proof of the covariance of Maxwell's equations; Appendix H. Relativistic four vector potential; Appendix I. Ehrenfest's proof of the adiabatic theorem; References; Index.

Recenzii

'I recommend this exciting book to readers interested in how a small number of principles can explain modern physical theory. A major part of this excellent physical, mathematical, and historical study of the principle of least action is the exposition of the optical-mechanical analogy that led to the invention of Schrӧdinger's wave mechanics in 1926 … Containing the mathematical steps of numerous detailed derivations with clearly designed figures to aid the reader, the text is physically and mathematically rigorous and serves as a guide to the next step: the reading of the original papers cited in the references.' Barry R. Masters, Optics & Photonics News

Notă biografică


Descriere

This text brings history and the key fields of physics together to present a unique technical discussion of the principles of least action.