Scientific Computing with Mathematica®: Mathematical Problems for Ordinary Differential Equations
Author:   Addolorata Marasco ,  Antonio Romano
Publisher:   Birkhauser Boston Inc
Edition:   2001 ed.
ISBN:  

9780817642051


Pages:   270
Publication Date:   09 August 2001
Format:   Hardback
Availability:   Awaiting stock   Availability explained
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.

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Scientific Computing with Mathematica®: Mathematical Problems for Ordinary Differential Equations


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Overview

Many interesting behaviors of real physical, biological, economical, and chemical systems can be described by ordinary differential equations (ODEs). Scientific Computing with Mathematica for Ordinary Differential Equations provides a general framework useful for the applications, on the conceptual aspects of the theory of ODEs, as well as a sophisticated use of Mathematica software for the solutions of problems related to ODEs. In particular, a chapter is devoted to the use ODEs and Mathematica in the Dynamics of rigid bodies. Mathematical methods and scientific computation are dealt with jointly to supply a unified presentation. The main problems of ordinary differential equations such as, phase portrait, approximate solutions, periodic orbits, stability, bifurcation, and boundary problems are covered in an integrated fashion with numerous worked examples and computer program demonstrations using Mathematica.

Full Product Details

Author:   Addolorata Marasco ,  Antonio Romano
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   2001 ed.
Dimensions:   Width: 15.50cm , Height: 1.70cm , Length: 23.50cm
Weight:   0.600kg
ISBN:  

9780817642051


ISBN 10:   0817642056
Pages:   270
Publication Date:   09 August 2001
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock   Availability explained
The supplier is currently out of stock of this item. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out for you.

Table of Contents

Preface 1. Solutions of ODE's and Their Properties 2. Linear ODEs with Constant Coefficients 3. Power Series Solutions of ODEs and Frobenius Series 4. Poincaré's Perturbation Method 5. Problems of Stability 6. Stability: The Critical Case 7. Bifurcation in ODEs 8. The Lindstedt-Poincaré Method 9. Boundary-Value Problems for Second-Order ODEs 10. Rigid Body with a Fixed Point A. How to Use the Package ODE.m References Index

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