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Applied Calculus of Variations for Engineers, Third edition
Applied Calculus of Variations for Engineers, Third edition
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The Calculus of Variations, developed by Euler and Lagrange, was once seen as a panacea for engineering optimization problems. However, it is not always true and the resulting differential equations can be difficult to solve. This third edition of the book extends its focus to academia and supports both variational calculus and mathematical modeling classes, with new sections, extended explanations, examples, and exercises to aid students, professors, and engineers in learning and applying variational concepts.
Format: Paperback / softback
Length: 292 pages
Publication date: 13 June 2022
Publisher: Taylor & Francis Ltd
Calculus of variations, a mathematical discipline with a rich historical backdrop, owes its foundational principles to renowned figures in mathematics such as Euler and Lagrange. Once hailed as the ultimate solution for all engineering optimization challenges, it proposed a straightforward approach: define a variational problem, employ the appropriate Euler-Lagrange equation, and solve the resulting differential equation. However, it soon became apparent that this all-encompassing solution was not always valid, and the resulting differential equations could be quite complex to solve.
Despite this, numerous differential equations commonly employed in various fields of engineering are derived from variational problems. Consequently, the study of calculus of variations holds immense significance, warranting the publication of this new edition.
In this third iteration, the book expands its scope to encompass academia, providing comprehensive coverage of both variational calculus and mathematical modeling. The inclusion of new sections, detailed explanations, ample examples, and rigorous exercises serves as valuable resources for students, professors, and engineers alike, facilitating their understanding, teaching, and practical application of variational concepts.
Weight: 540g
Dimension: 234 x 156 (mm)
ISBN-13: 9781032337579
Edition number: 3 ed
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