The Development of the Action Principle [E-Book] : A Didactic History from Euler-Lagrange to Schwinger / by Walter Dittrich.
This book describes the historical development of the principle of stationary action from the 17th to the 20th centuries. Reference is made to the most important contributors to this topic, in particular Bernoullis, Leibniz, Euler, Lagrange and Laplace. The leading theme is how the action principle...
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Full text |
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Personal Name(s): | Dittrich, Walter, author |
Edition: |
1st edition 2021. |
Imprint: |
Cham :
Springer,
2021
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Physical Description: |
XV, 135 pages 23 illustrations, 1 illustrations in color (online resource) |
Note: |
englisch |
ISBN: |
9783030691059 |
DOI: |
10.1007/978-3-030-69105-9 |
Series Title: |
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SpringerBriefs in Physics
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Classification: |
- Short Historical Introduction
- Curva Elastica
- The Curva Elastica, a Curve of Least Energy
- From Euler to Lagrange
- Laplace and the Capillary - 1807
- A Final Application in Elasticity with Jacobi Elliptic Functions
- Short List of Jacobi Elliptic Functions and Constants Used in Chapter 5
- Variational Methods for Periodic Motions; Mathieu Functions
- Lagrangian for Isentropic Irrotational Flow
- Action Principle in Classical Electrodynamics
- The Two Giants in Gravity: Einstein and Hilbert
- The Quantum Action Principle
- The Action Principle in Quantum Field Theory
- Quantum Field Theory on Space-Like Hypersurfaces
- Lagrangian Formulation of Gauge Theories
- Effective Actions (Lagrangians) in Quantum Field Theory
- Modified Photon Propagation Function, Source Theory.