Advanced Calculus and its Applications in Variational Quantum Mechanics and Relativity Theory

Advanced Calculus and its Applications in Variational Quantum Mechanics and Relativity Theory
Author: Fabio Silva Botelho
Publisher: CRC Press
Total Pages: 335
Release: 2021-07-12
Genre: Mathematics
ISBN: 1000411028

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Presents a rigorous study on manifolds in Rn. Develops in details important standard topics on advanced calculus, such as the differential forms in surfaces in Rn. Presents a proposal to connect classical and quantum mechanics. Presents variational formulations for relativistic mechanics through semi-Riemannian geometry and differential geometry. Develops a rigorous study on causal structures in space-time manifolds.


Advanced Calculus and its Applications in Variational Quantum Mechanics and Relativity Theory
Language: en
Pages: 335
Authors: Fabio Silva Botelho
Categories: Mathematics
Type: BOOK - Published: 2021-07-12 - Publisher: CRC Press

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Presents a rigorous study on manifolds in Rn. Develops in details important standard topics on advanced calculus, such as the differential forms in surfaces in
Advanced Calculus (Revised Edition)
Language: en
Pages: 595
Authors: Lynn Harold Loomis
Categories: Mathematics
Type: BOOK - Published: 2014-02-26 - Publisher: World Scientific Publishing Company

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An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University
Quantum Variational Calculus
Language: en
Pages: 96
Authors: Agnieszka B. Malinowska
Categories: Mathematics
Type: BOOK - Published: 2013-11-29 - Publisher: Springer Science & Business Media

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This Brief puts together two subjects, quantum and variational calculi by considering variational problems involving Hahn quantum operators. The main advantage
Calculus of Variations
Language: en
Pages: 354
Authors: Robert Weinstock
Categories: Mathematics
Type: BOOK - Published: 1974-01-01 - Publisher: Courier Corporation

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This text is basically divided into two parts. Chapters 1–4 include background material, basic theorems and isoperimetric problems. Chapters 5–12 are devote
Variational Calculus
Language: en
Pages: 284
Authors: Jean-Pierre Bourguignon
Categories: Mathematics
Type: BOOK - Published: 2022-12-14 - Publisher: Springer Nature

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This book provides a comprehensive introduction to the Calculus of Variations and its use in modelling mechanics and physics problems. Presenting a geometric ap