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Advanced calculus and its applicatio...
~
Botelho, Fabio Silva.
Advanced calculus and its applications in variational quantum mechanics and relativity theory /
Record Type:
Language materials, printed : Monograph/item
Title/Author:
Advanced calculus and its applications in variational quantum mechanics and relativity theory // Fabio Silva Botelho.
Author:
Botelho, Fabio Silva.
Published:
Boca Raton :CRC Press, : c2021.,
Description:
x, 324 p. :ill. (some col.) ; : 24 cm.;
Notes:
"A Science Publishers book."
Subject:
Calculus. -
ISBN:
9780367746452 :
Advanced calculus and its applications in variational quantum mechanics and relativity theory /
Botelho, Fabio Silva.
Advanced calculus and its applications in variational quantum mechanics and relativity theory /
Fabio Silva Botelho. - 1st ed. - Boca Raton :CRC Press,c2021. - x, 324 p. :ill. (some col.) ;24 cm.
"A Science Publishers book."
Includes bibliographical references (p. [317]-320) and index.
"The first part of this book reviews some key topics on multi-variable advanced calculus. The approach presented includes a detailed and rigorous study on surfaces in Rn which comprises items such as differential forms and an abstract version of the Stokes Theorem in Rn. In the conclusion of this first part, there is an introduction to Riemannian geometry, which will be used in the subsequent chapters of applications. In the second part, the book develops applications of the previous chapters, specifically on variational quantum mechanics and relativity theory. Topics such as a variational formulation for the relativistic Klein-Gordon equation, the derivation of a variational formulation for relativistic mechanics firstly through (semi)-Riemannian geometry, and in a second step, for a more general context, through fundamentals of differential geometry"--
ISBN: 9780367746452 :NT4661
LCCN: 2021004542Subjects--Topical Terms:
672391
Calculus.
LC Class. No.: QA303 / .B72 2021
Dewey Class. No.: 515
Advanced calculus and its applications in variational quantum mechanics and relativity theory /
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Botelho, Fabio Silva.
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Advanced calculus and its applications in variational quantum mechanics and relativity theory /
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Fabio Silva Botelho.
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1st ed.
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Boca Raton :
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CRC Press,
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c2021.
300
$a
x, 324 p. :
$b
ill. (some col.) ;
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24 cm.
500
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"A Science Publishers book."
504
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Includes bibliographical references (p. [317]-320) and index.
520
#
$a
"The first part of this book reviews some key topics on multi-variable advanced calculus. The approach presented includes a detailed and rigorous study on surfaces in Rn which comprises items such as differential forms and an abstract version of the Stokes Theorem in Rn. In the conclusion of this first part, there is an introduction to Riemannian geometry, which will be used in the subsequent chapters of applications. In the second part, the book develops applications of the previous chapters, specifically on variational quantum mechanics and relativity theory. Topics such as a variational formulation for the relativistic Klein-Gordon equation, the derivation of a variational formulation for relativistic mechanics firstly through (semi)-Riemannian geometry, and in a second step, for a more general context, through fundamentals of differential geometry"--
$c
Provided by publisher.
650
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Calculus.
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672391
650
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Quantum theory.
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568041
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