Modeling and Simulation in Science, Engineering and Technology

Classical Mechanics with Mathematica®

Authors: Romano, Antonio

  • ​​​​​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 literatureIncludes over 200 carefully crafted excercises, frequently making use of Mathematica
  • Suitable for both graduate and advanced undergraduate students​
see more benefits

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-0-8176-8352-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-0-8176-8351-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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 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. Throughout, it makes heavy use of the powerful tools offered by Mathematica​.

The volume 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.

Unique in its scope of coverage and method of approach, Classical Mechanics will be a very 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 has been the author or coauthor of numerous books on mechanics and Mathematica, and he has taught courses in mechanics for 35 years at "Il Fredrico" University in Naples.

Reviews

From the reviews:

“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 in particular, can be recommended to students who wish to learn these mathematical concepts without indulging too much in formal and technical points. … The average graduate student … will be well served by Romano’s 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)

“The author presents a high-level textbook based mainly on differential geometry methods; at the same time, he tries to follow a historical process that leads to an easier understanding of the development of mechanics. … The book is written in a very clear and systematic manner; each chapter is followed by many exercises … . The volume represents a real contribution to the field, being useful not only to students but to all readers who wish to have a correct and well-written information, too.” (Petre P. Teodorescu, Zentralblatt MATH, Vol. 1263, 2013)

Table of contents (24 chapters)

Buy this book

eBook $99.00
price for USA (gross)
  • ISBN 978-0-8176-8352-8
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $129.00
price for USA
  • ISBN 978-0-8176-8351-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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
2012
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-0-8176-8352-8
DOI
10.1007/978-0-8176-8352-8
Hardcover ISBN
978-0-8176-8351-1
Series ISSN
2164-3679
Edition Number
1
Number of Pages
XIV, 506
Number of Illustrations and Tables
127 b/w illustrations
Topics