Classical Mechanics with Calculus of Variations and Optimal Control is popular PDF and ePub book, written by Mark Levi in 2014-03-07, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Classical Mechanics with Calculus of Variations and Optimal Control can be Read Online from any device for your convenience.
Classical Mechanics with Calculus of Variations and Optimal Control Book PDF Summary
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 chapter, 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.
Detail Book of Classical Mechanics with Calculus of Variations and Optimal Control PDF
- Author : Mark Levi
- Release : 07 March 2014
- Publisher : American Mathematical Soc.
- ISBN : 9780821891384
- Genre : Mathematics
- Total Page : 322 pages
- Language : English
- PDF File Size : 14,8 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Classical Mechanics with Calculus of Variations and Optimal Control by Mark Levi, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.