Classical Mechanics with Calculus of Variations and Optimal Control
Autori: Mark Levi
Editore: American Mathematical Soc.
Anno pubbl.: 2014-03-07
ISBN: 9780821891384
Proposto a: BCI
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.
As someone who actually read this book, I am greatly indebted to the author Mark Levi, who really helped me build intuitions for rigid body dynamics, something that other mundane mainstream textbooks couldn’t do.
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In addition, this book has Mark Levi’s fascinating solution to the brachistochrone problem.
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This book is now available in BCI, identified by loc. number: 140.584