Overview

This book is the second part of the text Differential Equations: A Dynamical Systems Approach written by John Hubbard and Beverly West. It is a continuation of the subject matter discussed in the first book, with an emphasis on systems of ordinary differential equations. This book will be most appropriate for upper level undergraduate and graduate students in the fields of mathematics, engineering, applied mathematics, as well as in the life sciences, physics, and economics. This book opens with an introduction, and follows with chapters on systems of differential equations, systems of linear differential equations, and systems of nonlinear differential equations. The book continues with structural stability, bifurcations, and an appendix on linear algebra. The authors also include an appendix containing important theorems from parts I and II, as well as answers to selected problems.

Full Product Details

Author:   John H. Hubbard ,  Beverly H. West
Publisher:   Springer-Verlag New York Inc.
Imprint:   Springer-Verlag New York Inc.
Edition:   1995 ed.
Volume:   18
Dimensions:   Width: 15.50cm , Height: 3.30cm , Length: 23.50cm
Weight:   2.290kg
ISBN:  

9780387943770

ISBN 10:   0387943773
Pages:   602
Publication Date:   30 March 1995
Audience:   College/higher education ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

of Part II.- Systems of Ordinary Differential Equations The Higher-Dimensional Theory x? = f(t,x).- 6 Systems of Differential Equations.- 7 Systems of Linear Differential Equations.- 8 Systems of Nonlinear Differential Equations.- 8* Structural Stability.- 9 Bifurcations.- Appendix L: Linear Algebra.- L1 Theory of Linear Equations: In Practice.- L2 Theory of Linear Equations: Vocabulary.- L3 Vector Spaces and Inner Products.- L4 Linear Transformations and Inner Products.- L5 Determinants and Volumes.- L6 Eigenvalues and Eigenvectors.- L7 Finding Eigenvalues: The QR Method.- L8 Finding Eigenvalues: Jacobi’s Method.- Appendix L Exercises.- Appendix L Summary.- Appendix T: Key Theorems From Parts I and III.- References.- Answers to Selected Problems.

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