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Applied Calculus of Variations for Engineers, Third edition
Taschenbuch von Louis Komzsik
Sprache: Englisch

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Beschreibung
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.
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.
Über den Autor

Dr. Louis Komzsik worked in the industry as an engineering mathematician for 42 years and during those years also lectured as a Visiting Professor at various southern California colleges and universities. Since his retirement he is lecturing in the Mathematics Department of the University of California at Irvine.

Inhaltsverzeichnis
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
Details
Erscheinungsjahr: 2022
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Einband - flex.(Paperback)
ISBN-13: 9781032337579
ISBN-10: 1032337575
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Komzsik, Louis
Auflage: 3. Auflage
Hersteller: CRC Press
Maße: 234 x 156 x 16 mm
Von/Mit: Louis Komzsik
Erscheinungsdatum: 13.06.2022
Gewicht: 0,447 kg
Artikel-ID: 126742058
Über den Autor

Dr. Louis Komzsik worked in the industry as an engineering mathematician for 42 years and during those years also lectured as a Visiting Professor at various southern California colleges and universities. Since his retirement he is lecturing in the Mathematics Department of the University of California at Irvine.

Inhaltsverzeichnis
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
Details
Erscheinungsjahr: 2022
Fachbereich: Allgemeines
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: Einband - flex.(Paperback)
ISBN-13: 9781032337579
ISBN-10: 1032337575
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Komzsik, Louis
Auflage: 3. Auflage
Hersteller: CRC Press
Maße: 234 x 156 x 16 mm
Von/Mit: Louis Komzsik
Erscheinungsdatum: 13.06.2022
Gewicht: 0,447 kg
Artikel-ID: 126742058
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