Functional Analysis, Calculus of Variations and Numerical Methods for Models in Physics and Engineering (Hardcover)

The book discusses basic concepts of functional analysis, measure and integration theory, calculus of variations and duality and its applications to variational problems of non-convex nature, such as the Ginzburg-Landau system in superconductivity, shape optimization models, dual variational formulations for micro-magnetism and others. Numerical Methods for such and similar problems, such as models in flight mechanics and the Navier-Stokes system in fluid mechanics have been developed through the generalized method of lines, including their matrix finite dimensional approximations. It concludes with a review of recent research on Riemannian geometry applied to Quantum Mechanics and Relativity. The book will be of interest to applied mathematicians and graduate students in applied mathematics. Physicists, engineers and researchers in related fields will also find the book useful in providing a mathematical background applicable to their respective professional areas.

General

Imprint:	Crc Press
Country of origin:	United Kingdom
Release date:	November 2020
First published:	2021
Authors:	Fabio Silva Botelho
Dimensions:	254 x 178 x 41mm (L x W x T)
Format:	Hardcover
Pages:	576
ISBN-13:	978-0-367-35674-3
Categories:	Books > Science & Mathematics > Physics > General Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers
LSN:	0-367-35674-0
Barcode:	9780367356743

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