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Variational Methods with Applications in Science and Engineering by Kevin W. Cassel (2013, Hardcover)

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There is a resurgence of applications in which the calculus of variations has direct relevance. The majority of the text consists of applications of variational calculus for a variety of fields.

About this product

Product Identifiers

PublisherCambridge University Press

ISBN-101107022584

ISBN-139781107022584

eBay Product ID (ePID)159803564

Product Key Features

Number of Pages432 Pages

Publication NameVariational Methods with Applications in Science and Engineering

LanguageEnglish

SubjectEngineering (General), Calculus, Research & Methodology

Publication Year2013

TypeTextbook

Subject AreaMathematics, Technology & Engineering, Science

AuthorKevin W. Cassel

FormatHardcover

Dimensions

Item Height1.2 in

Item Weight36.3 Oz

Item Length10.1 in

Item Width6.9 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN2013-002762

Dewey Edition23

Reviews"This well-written book contains a large amount of material ... will also be useful for scientists from application areas, in particular, those from engineering and physics." Vicentiu D. Radulescu, Mathematical Reviews, 'The current book is an attractive fresh look at the subject by a professor of mechanical and aerospace engineering â€¦ Most chapters have a modest number of exercises. There is a very nice bibliography.' Bill Satzer, MAA Reviews (maa.org)

IllustratedYes

Dewey Decimal515/.64

Table Of Content1. Preliminaries; 2. Calculus of variations; 3. Rayleigh-Ritz, Galerkin, and finite-element methods; 4. Hamilton's principle; 5. Classical mechanics; 6. Stability of dynamical systems; 7. Optics and electromagnetics; 8. Modern physics; 9. Fluid mechanics; 10. Optimization and control; 11. Image processing and data analysis; 12. Numerical grid generation.

SynopsisThere is a resurgence of applications for the calculus of variations, such as in solid mechanics and dynamics, numerical methods, numerical grid generation, modern physics, various optimization settings and fluid dynamics. This book reflects the connection between calculus of variations and the applications for which variational methods form the foundation., There is a resurgence of applications in which the calculus of variations has direct relevance. In addition to application to solid mechanics and dynamics, it is now being applied in a variety of numerical methods, numerical grid generation, modern physics, various optimization settings, and fluid dynamics, for example. Many of these applications, such as nonlinear optimal control theory applied to continuous systems, have only recently become tractable computationally, with the advent of advanced algorithms and large computer systems. The content of the text reflects the strong connection between calculus of variations and the applications for which variational methods form the fundamental foundation. Most readers will be pleased to note that the mathematical fundamentals of calculus of variations (at least those necessary to pursue applications) is rather compact and is contained in a single chapter of the book. Therefore, the majority of the text consists of applications of variational calculus for a variety of fields., There is a resurgence of applications in which the calculus of variations has direct relevance. In addition to application to solid mechanics and dynamics, it is now being applied in a variety of numerical methods, numerical grid generation, modern physics, various optimization settings and fluid dynamics. Many applications, such as nonlinear optimal control theory applied to continuous systems, have only recently become tractable computationally, with the advent of advanced algorithms and large computer systems. This book reflects the strong connection between calculus of variations and the applications for which variational methods form the fundamental foundation. The mathematical fundamentals of calculus of variations (at least those necessary to pursue applications) is rather compact and is contained in a single chapter of the book. The majority of the text consists of applications of variational calculus for a variety of fields.

LC Classification NumberQ172.5.V37 C27 2013