An Introduction to Hamiltonian Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Hamiltonian Mechanics write by Gerardo F. Torres del Castillo. This book was released on 2018-09-08. An Introduction to Hamiltonian Mechanics available in PDF, EPUB and Kindle. This textbook examines the Hamiltonian formulation in classical mechanics with the basic mathematical tools of multivariate calculus. It explores topics like variational symmetries, canonoid transformations, and geometrical optics that are usually omitted from an introductory classical mechanics course. For students with only a basic knowledge of mathematics and physics, this book makes those results accessible through worked-out examples and well-chosen exercises. For readers not familiar with Lagrange equations, the first chapters are devoted to the Lagrangian formalism and its applications. Later sections discuss canonical transformations, the Hamilton–Jacobi equation, and the Liouville Theorem on solutions of the Hamilton–Jacobi equation. Graduate and advanced undergraduate students in physics or mathematics who are interested in mechanics and applied math will benefit from this treatment of analytical mechanics. The text assumes the basics of classical mechanics, as well as linear algebra, differential calculus, elementary differential equations and analytic geometry. Designed for self-study, this book includes detailed examples and exercises with complete solutions, although it can also serve as a class text.
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem
Introduction to Hamiltonian Dynamical Systems and the N-Body Problem - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Introduction to Hamiltonian Dynamical Systems and the N-Body Problem write by Kenneth R. Meyer. This book was released on 2017-05-04. Introduction to Hamiltonian Dynamical Systems and the N-Body Problem available in PDF, EPUB and Kindle. This third edition text provides expanded material on the restricted three body problem and celestial mechanics. With each chapter containing new content, readers are provided with new material on reduction, orbifolds, and the regularization of the Kepler problem, all of which are provided with applications. The previous editions grew out of graduate level courses in mathematics, engineering, and physics given at several different universities. The courses took students who had some background in differential equations and lead them through a systematic grounding in the theory of Hamiltonian mechanics from a dynamical systems point of view. This text provides a mathematical structure of celestial mechanics ideal for beginners, and will be useful to graduate students and researchers alike. Reviews of the second edition: "The primary subject here is the basic theory of Hamiltonian differential equations studied from the perspective of differential dynamical systems. The N-body problem is used as the primary example of a Hamiltonian system, a touchstone for the theory as the authors develop it. This book is intended to support a first course at the graduate level for mathematics and engineering students. ... It is a well-organized and accessible introduction to the subject ... . This is an attractive book ... ." (William J. Satzer, The Mathematical Association of America, March, 2009) “The second edition of this text infuses new mathematical substance and relevance into an already modern classic ... and is sure to excite future generations of readers. ... This outstanding book can be used not only as an introductory course at the graduate level in mathematics, but also as course material for engineering graduate students. ... it is an elegant and invaluable reference for mathematicians and scientists with an interest in classical and celestial mechanics, astrodynamics, physics, biology, and related fields.” (Marian Gidea, Mathematical Reviews, Issue 2010 d)
A Student's Guide to Lagrangians and Hamiltonians
A Student's Guide to Lagrangians and Hamiltonians - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook A Student's Guide to Lagrangians and Hamiltonians write by Patrick Hamill. This book was released on 2014. A Student's Guide to Lagrangians and Hamiltonians available in PDF, EPUB and Kindle. A concise treatment of variational techniques, focussing on Lagrangian and Hamiltonian systems, ideal for physics, engineering and mathematics students.
Classical Mechanics
Classical Mechanics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Classical Mechanics write by Dieter Strauch. This book was released on 2009-06-07. Classical Mechanics available in PDF, EPUB and Kindle. This upper-level undergraduate and beginning graduate textbook primarily covers the theory and application of Newtonian and Lagrangian, but also of Hamiltonian mechanics. In addition, included are elements of continuum mechanics and the accompanying classical field theory, wherein four-vector notation is introduced without explicit reference to special relativity. The author's writing style attempts to ease students through the primary and secondary results, thus building a solid foundation for understanding applications. Numerous examples illustrate the material and often present alternative approaches to the final results.
An Introduction to Hamiltonian Optics
An Introduction to Hamiltonian Optics - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Hamiltonian Optics write by H. A. Buchdahl. This book was released on 1993-01-01. An Introduction to Hamiltonian Optics available in PDF, EPUB and Kindle. Accessible study provides detailed account of the Hamiltonian treatment of aberration theory in geometrical optics. Many classes of optical systems defined in terms of their symmetries. Detailed solutions. 1970 edition.
