Classical Mechanics with Calculus of Variations and Optimal Control: An Intuitive Introduction
Language: English
Published by American Mathematical Society, 2014
- Softcover
- Used
Seller: World of Books Inc, Montgomery, IL, U.S.A.World of Books Inc
AbeBooks seller since March 23, 2026
Condition: Used - Very good
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Add to basketItem description from seller
This is an intuitively motivated presentation of many topics in classical mechanics and related areas of control theory and calculus of variations. All topics throughout the book are treated with zero tolerance for unrevealing definitions and for proofs which leave the reader in the dark. Some areas of particular interest are: an extremely short derivation of the ellipticity of planetary orbits; a statement and an explanation of the ?tennis racket paradox''; a heuristic explanation (and a rigorous treatment) of the gyroscopic effect; a revealing equivalence between the dynamics of a particle and statics of a spring; a short geometrical explanation of Pontryagin's Maximum Principle, and more. In the last couple of chapters, aimed at more advanced readers, the Hamiltonian and the momentum are compared to forces in a certain static problem. This gives a palpable physical meaning to some seemingly abstract concepts and theorems. With minimal prerequisites consisting of basic calculus and basic undergraduate physics, this book is suitable for courses from an undergraduate to a beginning graduate level, and for a mixed audience of mathematics, physics and engineering students. Much of the enjoyment of the subject lies in solving almost 200 problems in this book. This book is published in cooperation with Mathematics Advanced Study Semesters.…
Seller Inventory # CIN0821891383VG
- Title
- Classical Mechanics with Calculus of Variations and Optimal Control: An Intuitive Introduction
- Author
- Mark Levi
- Publisher
- American Mathematical Society
- Publication year
- 2014
- Condition
- Very Good
- Binding
- Paperback
- Language
- English
- ISBN 10
- 0821891383
- ISBN 13
- 9780821891384
Some areas of particular interest are: an extremely short derivation of the ellipticity of planetary orbits; a statement and an explanation of the “tennis racket paradox''; a heuristic explanation (and a rigorous treatment) of the gyroscopic effect; a revealing equivalence between the dynamics of a particle and statics of a spring; a short geometrical explanation of Pontryagin's Maximum Principle, and more.
In the last couple of chapters, aimed at more advanced readers, the Hamiltonian and the momentum are compared to forces in a certain static problem. This gives a palpable physical meaning to some seemingly abstract concepts and theorems. With minimal prerequisites consisting of basic calculus and basic undergraduate physics, this book is suitable for courses from an undergraduate to a beginning graduate level, and for a mixed audience of mathematics, physics and engineering students. Much of the enjoyment of the subject lies in solving almost 200 problems in this book.
This book is published in cooperation with Mathematics Advanced Study Semesters.
"Synopsis" may belong to another edition of this title.
About the Author
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World of Books Inc
Montgomery, IL, U.S.A.
AbeBooks seller since March 23, 2026
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