The principle of least action : history and physics / Alberto Rojo (Oakland University, Michigan), Anthony Bloch (University of Michigan)

Englisch

Cambridge, United Kingdom ; New York, NY ; Port Melbourne ; New Delhi ; Singapore : Cambridge University Press, 2018

xi, 255 Seiten : Diagramme ; 25 cm

Includes bibliographical references (pages 241-253) and index

0-521-86902-1

978-0-521-86902-7 hbk. : £110.00

Prehistory of variational principles -- An excursio to Newton's Principia -- The optical-mechanical analogy, Part I: D'Alembert, Lagrange, and the statics-dynamics analogy -- The optical mechanical analogy, Part II: the Hamilton-Jacobi equation -- Relativity and least action -- The road to quantum mechanics

*978-1-108-29986-2$So

9780521869027

*Prinzip der kleinsten Wirkung / Geschichte

*Theoretische Mechanik / Variationsrechnung

*Least action ; Variational principles ; Mechanics ; Lagrange equations ; Hamilton-Jacobi equations ; Least action ; Mechanics ; Lagrange equations ; Hamilton-Jacobi equations

Klassifikation der Library of Congress: QA871

Dewey Dezimal-Klassifikation: 530.1

Mathematics Subject Classification: *70-03

Mathematics Subject Classification: 00A79

Mathematics Subject Classification: 00A30

Mathematics Subject Classification: 01A05

"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"--

https://zbmath.org/?q=an:1410.70002 [Zentralblatt MATH]

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