This service is more advanced with JavaScript available, Part of the This content was uploaded by our users and we assume good faith they have the permission to share this book. Not logged in They are the basis of all classical mechanics. 2. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. Over 10 million scientific documents at your fingertips. Not affiliated Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. With a unique selection of topics and a large array of exercises to reinforce concepts, Classical Mechanics with Mathematica is an excellent resource for graduate students in physics. This content was uploaded by our users and we assume good faith they have the permission to share this book. It enjoys many qualities that render this book a promising candidate for becoming a standard text in physics classrooms.” – H. Hogreve, Mathematical Reviews, October 2013, Over 10 million scientific documents at your fingertips. The volume is organized into two parts. The text is organized into two parts. Author: Antonio Romano. The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton–Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others. Several Mathematica® notebooks are available to download that will further aid students in their understanding of some of the more difficult material. Sign in Start by pressing the button below! Book. © 2020 Springer Nature Switzerland AG. It can also serve as a reference for researchers wishing to gain a deeper understanding of both classical and modern mechanics. With a unique selection of topics and a large array of exercises to reinforce concepts, Classical Mechanics with Mathematica is an excellent resource for graduate students in physics. Sign in. Learn how we and our ad partner Google, collect and use data. Università degli Studi di Napoli Federico II, Dipartimento di Matematica e Applicazioni “Renato Caccioppoli”, https://doi.org/10.1007/978-3-319-77595-1, Springer International Publishing AG, part of Springer Nature 2018, Modeling and Simulation in Science, Engineering and Technology, Skew-Symmetric Tensors and Exterior Algebra, General Principles of Rigid Body Dynamics, Elements of Statistical Mechanics of Equilibrium. book series Several Mathematica® notebooks are available to download that will further aid students in their understanding of some of the more difficult material. (MSSET). “By centering his presentation around the major aspects and omitting less important details, the author succeeds in providing a concise though lucid introduction into the mathematical areas. The second part of the book applies these topics to kinematics, rigid body dynamics, Lagrangian and Hamiltonian dynamics, Hamilton–Jacobi theory, completely integrable systems, statistical mechanics of equilibrium, and impulsive dynamics, among others. This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. (MSSET). Developed by the author from 35 years of teaching experience, the presentation is designed to give students an overview of the many different models used through the history of the field—from Newton to Lagrange—while also painting a clear picture of the most modern developments. This textbook takes a broad yet thorough approach to mechanics, aimed at bridging the gap between classical analytic and modern differential geometric approaches to the subject. Throughout, it makes heavy use of the powerful tools offered by Mathematica®​. Request PDF | On Jan 1, 2012, Antonio Romano published Classical Mechanics with Mathematica® | Find, read and cite all the research you need on ResearchGate. Modeling and Simulation in Science, Engineering, and Technology. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book.

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