Overview
- Includes supplementary material: sn.pub/extras
Part of the book series: Modeling and Simulation in Science, Engineering and Technology (MSSET)
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Table of contents (9 chapters)
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Front Matter
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Mathematical Methods for Differential Equations
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Front Matter
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Mathematical Methods of Classical Mechanics
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Front Matter
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Bifurcations, Chaotic Dynamics, Stochastic Models, and Discretization of Continuous Models
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Front Matter
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Back Matter
Keywords
About this book
Reviews
"The Mathematica notebook files are well written.… Most procedures are quite general and may be adapted to different models. The book covers a huge amount of ground… The nice thing about this book is the great variety of mathematical models treated." —Mathematical Reviews
"…Solid motivations are always given.… The book includes a great number of examples, taken from practice, many of them being worked out completely.… [It is] useful for practitioners and even mathematicians could find a lot of very interesting examples and motivations." —Mathematica, Revue d’Analyse Numerique et de Theorie de l’Approximation
"A distinguishing feature of this book’s treatment of classical mechanics is the way in which it presents modeling, analysis and computation in a unified manner.… This text gives a surprisingly readable yet thorough account of classical mechanics and the use of Mathematica to aid the numerical and analytic solution of many standard problems. It is aimed at advanced undergraduate students and is, in fact, [a] very student-friendly text. There are many step-by-step descriptions of problem-solving methods that may be applied to broad classes of problems.… This book will be of great use to those struggling with advanced applications and concepts." —Scientific Computing World
"In this advanced undergraduate book on analytical mechanics, [the authors] develop enough of the theory of dynamical systems to provide an appropriate mathematical context for mechanics as well as useful analytical tools. They also provide Mathematica computer routines (available at the publisher's Web site) so the reader can visualize and experiment with the book's examples. This powerful combination of qualitative and quantitative tools allows for the analysis of a rich range of topics and material including some outside of mechanics.Still, the volume is fundamentally a textbook on classical mechanics and can be recommended as such, perhaps more than as a fundamental addition to a library collection." —Choice
Authors and Affiliations
Bibliographic Information
Book Title: Mechanics and Dynamical Systems with Mathematica®
Authors: Nicola Bellomo, Luigi Preziosi, Antonio Romano
Series Title: Modeling and Simulation in Science, Engineering and Technology
DOI: https://doi.org/10.1007/978-1-4612-1338-3
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2000
Hardcover ISBN: 978-0-8176-4007-1Published: 28 December 1999
Softcover ISBN: 978-1-4612-7101-7Published: 14 October 2012
eBook ISBN: 978-1-4612-1338-3Published: 06 December 2012
Series ISSN: 2164-3679
Series E-ISSN: 2164-3725
Edition Number: 1
Number of Pages: XV, 417
Topics: Mathematical and Computational Engineering, Dynamical Systems and Ergodic Theory, Computational Intelligence