Mark Levi
Classical Mechanics with Calculus of Variations and Optimal Control: An Intuitive Introduction (Student Mathematical...
- ISBN 13:
- 9780821891384
- author:
- Mark Levi
- format:
- Paperback
- publisher:
- American Mathematical Society
- language:
- English
- Publication Year:
- 2014
- Pages:
- 316
- Dimensions:
- 1.9 x 14.6 x 21.6 cm
- Genre:
- Science & Nature, Mathematics, Calculus & Mathematical Analysis
- Condition:
- New
- Availability:
- Item usually sent within 10 working days
Description
Classical Mechanics with Calculus of Variations and Optimal Control offers an intuitively motivated approach to classical mechanics and related areas of control theory and calculus of variations. This book presents many topics in a clear and concise manner, without revealing definitions or leaving the reader in the dark. The author covers a range of subjects, including the derivation of planetary orbits, the "tennis racket paradox", and the gyroscopic effect, providing both heuristic explanations and rigorous treatments. The book also explores the relationship between the dynamics of a particle and the statics of a spring, and offers a geometrical explanation of Pontryagin's Maximum Principle. Suitable for courses from undergraduate to graduate level, this book is ideal for students of mathematics, physics, and engineering who want to gain a deeper understanding of classical mechanics. With minimal prerequisites, it provides an accessible introduction to the subject, accompanied by over 200 problems to help reinforce learning.
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