Advanced calculus and its applications to variational quantum mechanics and relativity theory

Material type: 図書

Author: Fabio Silva Botelho

Publisher: CRC Press

Publication date: 2021

Material Format: Paper

Capacity, size, etc.: 25 cm

NDC: -

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Note (General)：: Summary: "The first part of this book reviews some key topics on multi-variable advanced calculus. The approach presented includes a detailed and rigo...

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Paper

Material Type: 図書
ISBN: 9780367746452
Title: Advanced calculus and its applications to variational quantum mechanics and relativity theory
Author/Editor: Fabio Silva Botelho
Author Heading: Botelho, Fabio Silva
Publication, Distribution, etc.: CRC Press
Publication Date: 2021
Publication Date (W3CDTF): 2021
Size: 25 cm
Place of Publication (Country Code): us
Text Language Code: en
Subject Heading: Calculus
Quantum theory
LCC: QA303
Target Audience: 一般
Note (General): Summary: "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"-- Provided by publisher
Includes bibliographical references and index
Related Material (URI): https://ci.nii.ac.jp/ncid/BC09791774#entity
https://lccn.loc.gov/2021004542
Data Provider (Database): 国立情報学研究所 : CiNii Research
Original Data Provider (Database): CiNii Books
https://ci.nii.ac.jp/books
NCID: https://ci.nii.ac.jp/ncid/BC09791774 : BC09791774
LC Control Number: 2021004542
https://lccn.loc.gov/2021004542