Lectures on the Calculus of Variations (the Weierstrassian Theory) (Classic Reprint)
Language: English
Published by Forgotten Books, 2018
- Softcover
- New

Seller: PBShop.store US, Wood Dale, IL, U.S.A.PBShop.store US
AbeBooks seller since April 7, 2005
Condition: New
US$ 34.20
Quantity: 15 available
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Seller Inventory # LW-9781333890131
- Title
- Lectures on the Calculus of Variations (the Weierstrassian Theory) (Classic Reprint)
- Author
- Harris Hancock
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Binding
- PAP
- Language
- English
- ISBN 10
- 1333890133
- ISBN 13
- 9781333890131
- Item weight
- 497 grams
Explore the Weierstrassian approach to the calculus of variations and its classic problems.
This nonfiction work guides you through how tiny changes to curves and surfaces reveal when a path or surface minimizes area or time. It blends rigorous proofs with geometric intuition to build a deep understanding of variation, conjugate points, and optimality conditions.
Readers will encounter foundational ideas like the second variation, Jacobi’s discoveries, and the Weierstrass conditions that dictate when a solution is truly optimal. The text uses concrete problems to frame these concepts, including surfaces of revolution, the brachistochrone problem, and the study of catenaries, all within the broader theory of minimizing or maximizing functionals.
- Learn how small variations of a curve or surface lead to necessary conditions for optimality.
- Explore the geometric meaning of conjugate points and their role in minimality.
- See how classical problems are solved within a rigorous variational framework.
- Understand the interplay between differential equations and variational principles.
Ideal for readers with an interest in advanced calculus, mathematical analysis, or the historical development of optimization theory.
"Synopsis" may belong to another edition of this title.
PBShop.store US
Wood Dale, IL, U.S.A.
AbeBooks seller since April 7, 2005
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