Mechanics and dynamical systems with Mathematica by Nicola Bellomo

Cover of: Mechanics and dynamical systems with Mathematica | Nicola Bellomo

Published by Birkhäuser in Boston .

Written in English

Read online

Subjects:

  • Mathematica (Computer file),
  • Mechanics, Analytic.

Edition Notes

Includes bibliographical references and index.

Book details

StatementNicola Bellomo, Luigi Preziosi, Antonio Romano.
SeriesModeling and simulation in science, engineering, and technology, Modeling and simulation in science, engineering & technology
ContributionsPreziosi, Luigi., Romano, Antonio.
Classifications
LC ClassificationsQA805 .B44 2000
The Physical Object
Paginationxiii, 417 p. :
Number of Pages417
ID Numbers
Open LibraryOL21969595M
ISBN 10081764007X

Download Mechanics and dynamical systems with Mathematica

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.

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 by: A text for advanced students and practitioners in mechanics, scientific computing, physics, and mathematical modeling.

Provides a systematic and unified treatment of mechanics and dynamical systems, addressing modeling, qualitative analysis, and simulations of physical systems using ordinary differential equations.

Mathematica is used to present the scientific computational components in. Get this from a library. Mechanics and dynamical systems with Mathematica. [N Bellomo; Luigi Preziosi; Antonio Romano] -- "Mechanics and Dynamical Systems with Mathematica provides a systematic and unified treatment of mechanics and dynamical systems.

This book provides an introduction to the theory of dynamical systems with the aid of the Mathematica computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material.

Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics. Mechanics and Dynamical Systems with Mathematica Search within book. Front Matter. Pages i-xiii. PDF. Mathematical Methods for Differential Equations.

Front Matter. Lagrangian mechanics algorithm calculus chaos dynamical systems dynamische Systeme evolution mathematical modeling mathematics mechanics model modeling numerical methods.

Get this from a library. Mechanics and Dynamical Systems with Mathematica®. [N Bellomo; Luigi Preziosi; Antonio Romano] -- Modeling and Applied Mathematics Modeling the behavior of real physical systems by suitable evolution equa tions is a relevant, maybe the fundamental, aspect of the interactions be tween mathematics.

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 : $ Dynamical Systems with Applications Using Mathematica®, 2nd Edition Since the first printing of this book inMathematica has evolved from version to version in I currently have the book Dynamical Systems with Applications Using Mathematica by Stephen Lynch.

I used it in an undergrad introductory course for dynamical systems, but it's extremely terse. As an example, one section of the book dropped the term 'manifold' at. Mechanics and Dynamical Systems with Mathematica (R) by Nicola Bellomo,available at Book Depository with free delivery worldwide/5(4).

Dynamical Systems with Applications using Mathematica ® provides an introduction to the theory of dynamical systems with the aid of the Mathematica computer algebra package. The book has a very hands-on approach and takes Mechanics and dynamical systems with Mathematica book reader from basic theory to recently published research material.

Mechanics and Dynamical Systems with Mathematica®: Nicola Bellomo, Luigi Preziosi, Antonio Romano: Books - Classical Mechanics and Dynamical Systems. This note explains the following topics: Classical mechanics, Lagrange equations, Hamilton’s equations, Variational principle, Hamilton-Jacobi equation, Electromagnetic field, Discrete dynamical systems and fractals, Dynamical systems, Bifurcations.

Author(s): Martin Scholtz. This textbook, now in its second edition, provides a broad introduction to the theory and practice of both continuous and discrete dynamical systems with the aid of the Mathematica software suite.

Taking a hands-on approach, the reader is guided from basic concepts to modern research topics. From the Publisher: Mechanics and Dynamical Systems with Mathematica provides a systematic and unified treatment of mechanics and dynamical systems, addressing modeling, qualitative analysis, and.

Mathematica» The #1 tool for creating Demonstrations and anything technical. Wolfram|Alpha» Explore anything with the first computational knowledge engine. MathWorld» The web's most extensive mathematics resource. Course Assistant Apps» An app for every course— right in the palm of your hand.

Wolfram Blog» Read our views on math. This book provides an introduction to the theory of dynamical systems with the aid of the Mathematica computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material.

chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population. Mechanics and Dynamical Systems with Mathematica ® Nicola Bellomo, Luigi Preziosi, Antonio Romano (auth.) Modeling and Applied Mathematics Modeling the behavior of real physical systems by suitable evolution equa­ tions is a relevant, maybe the fundamental, aspect of the interactions be­ tween mathematics and applied sciences.

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.

Vincent Acary, Bernard Brogliato To cite this version: Vincent Acary, Bernard Brogliato. Numerical Methods for Nonsmooth Dynamical Systems: Applica-tions in Mechanics and Electronics. Springer Verlag, 35, pp,Lecture Notes in Applied and Computational Mechanics, ￿inria￿. Provides a systematic and unified treatment of mechanics and dynamical systems, addressing modeling, qualitative analysis, and simulations of physical systems using ordinary differential equations.

Mathematica is used to present the scientific computational components in worked examples and end-of-chapter problems. Contents. Dynamical Systems with Applications using MATLAB®, ISBN From the Back Cover This textbook, now in its second edition, provides a broad introduction to the theory and practice of both continuous and discrete dynamical systems with the aid of the Mathematica software suite/5(3).

Classical Mechanics and Dynamical Systems by Martin Scholtz. Publisher: Charles University Number of pages: Description: Contents: Classical mechanics; Lagrange equations; Hamilton's equations; Variational principle; Hamilton-Jacobi equation; Electromagnetic field; Discrete dynamical systems and fractals; Dynamical systems; Bifurcations; Important commands in Mathematica.

A dynamical system is a manifold M called the phase (or state) space endowed with a family of smooth evolution functions Φ t that for any element of t ∈ T, the time, map a point of the phase space back into the phase space.

The notion of smoothness changes with applications and the type of manifold. There are several choices for the set T is taken to be the reals, the dynamical. I am looking for a textbook or a good source that could help me with dynamical systems.

What I mean is an introductory book for it. For example I have enjoyed Real Mathematical Analysis by C.C. Pugh. I would greatly appreciate if someone could introduce me a book that could put everything about dynamical systems in perspective as good as it has.

Dynamical Systems with Applications Using Mathematica provides an introduction to the theory of dynamical systems with the aid of the Mathematica computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material.

Luigi Preziosi is the author of Cancer Modelling and Simulation ( avg rating, 0 ratings, 0 reviews, published ), Mechanics and Dynamical Systems w /5(7). Classical Mechanics and Dynamical Systems by Martin Scholtz - Charles University, Contents: Classical mechanics; Lagrange equations; Hamilton's equations; Variational principle; Hamilton-Jacobi equation; Electromagnetic field; Discrete dynamical systems and fractals; Dynamical systems; Bifurcations; Commands in Mathematica.

The first book to expound the qualitative theory of systems defined by differential equations, Birkhoff's Dynamical Systems (DS) created a new branch of mathematics separate from its roots in celestial mechanics and making broad use of topology.

In DS, Birkhoff summarized more than 15 years of his own research along three main axes: the general theory of dynamical systems; the special case Cited by: 2. This book provides an introduction to the theory of dynamical systems with the aid of the Mathematica (R) computer algebra package.

The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Dynamical Systems with Applications Using Mathematica® Stephen Lynch (auth.) This textbook, now in its second edition, provides a broad introduction to the theory and practice of both continuous and discrete dynamical systems with the aid of the Mathematica software suite.

This book provides an introduction to the theory of dynamical systems with the aid of the Mathematica® computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material/5(3).

An introduction based on classical mechanics; Highly recommended. Also aimed the the undergraduate level, it's very clear conceptually and strives to make the math accessible. It's a newer book () that includes current topics. Ott E., Chaos in Dynamical Systems; A classic that cannot be missed.

Ordinary Differential Equations. and Dynamical Systems. Gerald Teschl. This is a preliminary version of the book Ordinary Differential Equations and Dynamical Systems. published by the American Mathematical Society (AMS). This preliminary version is made available with.

Classical mechanics describes the motion of macroscopic objects, from projectiles to parts of machinery, and astronomical objects, such as spacecraft, planets, stars and galaxies. If the present state of an object is known it is possible to predict by the laws of classical mechanics how it will move in the future (determinism) and how it has moved in the past (reversibility).

This book provides an introduction to ordinary differential equations and dynamical systems. We start with some simple examples of explicitly solvable equations. Then we prove the fundamental results concerning the initial value problem: existence, uniqueness, extensibility, dependence on.

This book provides an introduction to the theory of dynamical systems with the ® aid of the Mathematica computer algebra system. It is written for both senior undergraduates and graduate students. The?rst part of the book deals with c- tinuous systems using ordinary differential equations (Chapters 1–10), the second part is devoted to the study of discrete dynamical systems (Chapters 11 Reviews: 1.

Dynamical Systems with Applications Using Mathematica, Second Edition Author Stephen Lynch provides an introduction to the theory of dynamical systems. With the aid of Mathematica, this book’s hands-on approach first deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete.

Wolfram Community forum discussion about Dynamical Systems with Applications using Mathematica, 2nd Edition. Stay on top of important topics and build connections by joining Wolfram Community groups relevant to your interests.

Mathematical Methods of Classical Mechanics is a classic graduate textbook by the eminent mathematician Vladimir I.

Arnold. Dynamical systems with symmetries; successfully to present to students of mathematics and physics, [sic] classical mechanics in a modern setting." A book review in the journal Celestial Mechanics said, "In summary Author: Vladimir I.

Arnol'd.Several Mathematica (R) 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 (R) will be useful resource for graduate students and advanced undergraduates in applied.

This book provides an introduction to the theory of dynamical systems with the aid of the Mathematica® computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research : Springer International Publishing.

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