Classical Mechanics with Mathematica® (Modeling and Simulation in Science, Engineering and Technology) by Antonio Romano (PDF)

Description

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. Developed by the authors from over 30 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 Hamilton―while also painting a clear picture of the most modern developments. The text is organized into two parts. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. 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 new edition has been completely revised and updated and now includes almost 200 exercises, as well as new chapters on celestial mechanics, one-dimensional continuous systems, and variational calculus with applications. Several Mathematica® notebooks are available to download that will further aid students in their understanding of some of the more difficult material.Unique in its scope of coverage and method of approach, Classical Mechanics with Mathematica® will be useful resource for graduate students and advanced undergraduates in applied mathematics and physics who hope to gain a deeper understanding of mechanics.

User’s Reviews

Editorial Reviews: From the Back Cover 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. Developed by the authors from over 30 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 Hamilton―while also painting a clear picture of the most modern developments.The text is organized into two parts. The first focuses on developing the mathematical framework of linear algebra and differential geometry necessary for the remainder of the book. Topics covered include tensor algebra, Euclidean and symplectic vector spaces, differential manifolds, and absolute differential calculus. 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 new edition has been completely revised and updated and now includes almost 200 exercises, as well as new chapters on celestial mechanics, one-dimensional continuous systems, and variational calculus with applications. Several Mathematica® notebooks are available to download that will further aid students in their understanding of some of the more difficult material.Unique in its scope of coverage and method of approach, Classical Mechanics with Mathematica® will be useful resource for graduate students and advanced undergraduates in applied mathematics and physics who hope to gain a deeper understanding of mechanics. Reviews of the First Edition:“The volume represents a real contribution to the field, being useful not only to students but to all readers who wish to have correct and well-written information.” – Petre P. Teodorescu, zbMATH, Vol. 1263, 2013“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. 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 About the Author Antonio Romano is Professor Emeritus at the Universitá degli Studi di Napoli Federico II in Naples, Italy.Addolorata Morasco is a Researcher in mathematical physics at the Universitá degli Studi di Napoli Federico II in Naples, Italy.

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The with Mathematica part of the title is misleading. The material covered is thorough, and nice but I have other mechanics text that do what this book does when combined with a mathematical methods textbook. What this book does not do in its printed pages is mention, list or show any mathematical code that I can find so far…even in the preface it says it names 20 notebooks which you can download from the publishers website. But there is no link in the book.the Napolitano Primer does more than this book, I will spend the summer putting the two books in a blender and creating my own notebooks but not what I expected at all.And I would say very misleading on the title…..this would be an amazing Mechanics and Mathematical methods book….not to take that away from the authors.

⭐Its thorughness

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