9783319775944-3319775944-Classical Mechanics with Mathematica® (Modeling and Simulation in Science, Engineering and Technology)

Classical Mechanics with Mathematica® (Modeling and Simulation in Science, Engineering and Technology)

ISBN-13: 9783319775944
ISBN-10: 3319775944
Edition: 2nd ed. 2018
Author: Romano, Antonio, Marasco, Addolorata
Publication date: 2018
Publisher: Birkhäuser
Format: Hardcover 660 pages
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Book details

ISBN-13: 9783319775944
ISBN-10: 3319775944
Edition: 2nd ed. 2018
Author: Romano, Antonio, Marasco, Addolorata
Publication date: 2018
Publisher: Birkhäuser
Format: Hardcover 660 pages

Summary

Acknowledged authors Romano, Antonio, Marasco, Addolorata wrote Classical Mechanics with Mathematica® (Modeling and Simulation in Science, Engineering and Technology) comprising 660 pages back in 2018. Textbook and eTextbook are published under ISBN 3319775944 and 9783319775944. Since then Classical Mechanics with Mathematica® (Modeling and Simulation in Science, Engineering and Technology) textbook was available to sell back to BooksRun online for the top buyback price or rent at the marketplace.

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.

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