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Applied Calculus of Variations for Engineers, Third edition by Louis Komzsik (En
US $113.63
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eBay item number:396885294037
Item specifics
- Condition
- Brand New: A new, unread, unused book in perfect condition with no missing or damaged pages. See all condition definitionsopens in a new window or tab
- ISBN-13
- 9781032337579
- Book Title
- Applied Calculus of Variations for Engineers, Third edition
- ISBN
- 9781032337579
About this product
Product Identifiers
Publisher
Taylor & Francis Group
ISBN-10
1032337575
ISBN-13
9781032337579
eBay Product ID (ePID)
28058375046
Product Key Features
Number of Pages
292 Pages
Language
English
Publication Name
Applied Calculus of Variations for Engineers
Publication Year
2022
Subject
Engineering (General), Calculus, Electrical, Applied
Type
Textbook
Subject Area
Mathematics, Technology & Engineering
Format
Trade Paperback
Dimensions
Item Weight
14.9 Oz
Item Length
9.2 in
Item Width
6.1 in
Additional Product Features
Edition Number
3
Intended Audience
Scholarly & Professional
Dewey Edition
23
Illustrated
Yes
Dewey Decimal
620.00151564
Table Of Content
Preface. Acknowledgments. Author. Introduction. I Mathematical foundation. The foundations of calculus of variations. Constrained variational problems. Multivariate functionals. Higher order derivatives. The inverse problem. Analytic solutions. Approximate methods. II Modeling applications. Differential geometry. Computational geometry. Variational equations of motion. Analytic mechanics. Computational mechanics. Solutions. Notations. List of Tables. List of Figures. References. Index
Synopsis
Calculus of variations has a long history. Its fundamentals were laid down by icons of mathematics like Euler and Lagrange. It was once heralded as the panacea for all engineering optimization problems by suggesting that all one needed to do was to state a variational problem, apply the appropriate Euler-Lagrange equation and solve the resulting differential equation. This, as most all encompassing solutions, turned out to be not always true and the resulting differential equations are not necessarily easy to solve. On the other hand, many of the differential equations commonly used in various fields of engineering are derived from a variational problem. Hence it is an extremely important topic justifying the new edition of this book. This third edition extends the focus of the book to academia and supports both variational calculus and mathematical modeling classes. The newly added sections, extended explanations, numerous examples and exercises aid the students in learning, the professors in teaching, and the engineers in applying variational concepts., This third edition extends the focus of the book to academia to also support variational calculus and mathematical modeling classes. The newly added sections, extended explanations, numerous examples and exercises aid the students in learning, the professors in teaching, and the engineers in applying variational concepts., The subject of calculus of variations is to find optimal solutions to application problems whose optimum may be a certain quantity, shape or function. It is a very important technique of mathematical modeling in a variety of disciplines. This book is a self-contained coverage of the topic and addresses both the academic and industrial audiences. Dr. Komzsik presents a unique, explanatory and application-oriented text that sets it apart from the theoretical treatises of most texts in this subject. Difficult discussions about function spaces and rigorous proofs were avoided to make the topic accessible with an undergraduate mathematics foundation. This third edition extends the focus of the book to academia to also support variational calculus and mathematical modeling classes. The newly added sections, extended explanations, numerous examples and exercises aid the students in learning, the professors in teaching, and the engineers in applying variational concepts. Prof. Zoltan Papp Department of Physics California State University, Long Beach About the book: This book is organized into two parts: calculus of variations foundation and mathematical modeling of various physical and engineering phenomena. The first part covers functionals ranging from single variable, single function to multivariable, multiple function cases including constraints, the inverse problem, analytic and numerical solutions. The second part presents variational discussion of models for geometry, motion, elastic vibrations, heat conduction and fluid mechanics using Hamilton's principle, Lagrange's equations of motion and the finite element technique. Book jacket.
LC Classification Number
TA347.C3
Item description from the seller
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- h***1 (600)- Feedback left by buyer.Past monthVerified purchaseGreat transaction. A++
- g***g (2483)- Feedback left by buyer.Past monthVerified purchaseNot what I would call a book. About the size of decks of cards side by side
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Seller feedback (1,056,026)
- h***1 (600)- Feedback left by buyer.Past monthVerified purchaseGreat transaction. A++
- g***g (2483)- Feedback left by buyer.Past monthVerified purchaseNot what I would call a book. About the size of decks of cards side by side
- 3***r (78)- Feedback left by buyer.Past monthVerified purchaseVery good quality!