CYBER DEAL: 50% off all Springer eBooks | Get this offer!

Modeling and Simulation in Science, Engineering and Technology

Classical Mechanics with Mathematica®

Authors: Romano, Antonio, Marasco, Addolorata

Free Preview
  • Offers a unique and broad approach to mechanics, integrating linear algebra, analysis, and differential geometry
  • Provides an illuminating historical perspective on the subject, including the models of Newton, Euler, Lagrange, and Hamilton
  • Gives a treatment of impulsive dynamics, rarely found elsewhere in the literature
  • Includes almost 200 carefully crafted excercises, frequently making use of Mathematica
  • Suitable for both graduate and advanced undergraduate students
see more benefits

Buy this book

eBook $69.99
price for USA in USD
  • ISBN 978-3-319-77595-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase Institutional customers should get in touch with their account manager
Hardcover $89.99
price for USA in USD
Softcover $89.99
price for USA in USD
About this Textbook

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. 

About the authors

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.

Table of contents (27 chapters)

Table of contents (27 chapters)

Buy this book

eBook $69.99
price for USA in USD
  • ISBN 978-3-319-77595-1
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase Institutional customers should get in touch with their account manager
Hardcover $89.99
price for USA in USD
Softcover $89.99
price for USA in USD
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Classical Mechanics with Mathematica®
Authors
Series Title
Modeling and Simulation in Science, Engineering and Technology
Copyright
2018
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing AG, part of Springer Nature
eBook ISBN
978-3-319-77595-1
DOI
10.1007/978-3-319-77595-1
Hardcover ISBN
978-3-319-77594-4
Softcover ISBN
978-3-030-08489-9
Series ISSN
2164-3679
Edition Number
2
Number of Pages
XVI, 644
Number of Illustrations
150 b/w illustrations
Topics