Any familiar with Hirsch's "Differential Equations"

1. Jul 8, 2014

phillip56

So I am going to take some Math test. For the DEs portion, they recommend me to read the first ten chapters of Hirsch's "Differential Equations, Dynamical Systems, and Linear Algebra. First Edition" However, I got the third edition which the book title and contents are a little different. It is named "Differential Equations, Dynamical Systems, and an Introduction to Chaos, Third Edition"

For your convenience, the first ten chapters of the first edition are:
Chapter 1: First Examples
Chapter 2: Newton's Equation and Kepler's Law
Chapter 3: Linear Systems with Constant Coefficiants and Real Eigenvalues
Chapter 4: Linear Systems with Constant Coefficients and Complex Eigenvalues
Chapter 5: Linear Systems and Exponentials of Operators
Chapter 6: Linear Systems and Canonical Forms of Operators
Chapter 7: Contractions and Generic Properties of Operators
Chapter 8: Fundamental Theory
Chapter 9: Stability of Equilibria
Chapter 10: Differential Equations for Electric Circuits

The chapters of the third edition are:
Chapter 1: First-Order Equations
Chapter 2: Planar Linear Systems
Chapter 3: Phase Portraits for Planar Systems
Chapter 4: Classification of Planar Systems
Chapter 5: Higher-Dimensional Linear Algebra
Chapter 6: Higher-Dimensional Linear Systems
Chapter 7: Nonlinear Systems
Chapter 8: Equilibria in Nonlinear Systems
Chapter 9: Global Nonlinear Techniques
Chapter 10: Closed Orbits and Limit Sets
Chapter 11: Applications in Biology
Chapter 12: Applications in Circuit Theory
Chapter 13: Applications in Mechanics
Chapter 14: The Lorenz System
Chapter 15: Discrete Dynamical Systems
Chapter 16: Homoclinic Phenomena
Chapter 17: Existence and Uniqueness Revisited

Of course I would like to read all 17 chapters, but I need to save some time for studying other subjects. Therefore, I will eventually read the entire book.... well sooner or later.

In my opinion, the chapters which correspond to the first ten chapters of the first edition are:
Chapter 1: First-Order Equations
Chapter 2: Planar Linear Systems
Chapter 3: Phase Portraits for Planar Systems
Chapter 5: Higher-Dimensional Linear Algebra
Chapter 6: Higher-Dimensional Linear Systems
Chapter 7: Nonlinear Systems
Chapter 8: Equilibria in Nonlinear Systems
Chapter 9: Global Nonlinear Techniques
Chapter 12: Applications in Circuit Theory
Chapter 13: Applications in Mechanics
(and maybe it's beneficial to read Chapter 4: Classification of Planar Systems)

2. Jul 10, 2014

Staff: Mentor

Welcome to PF!

I think this is pretty hard to do with one book edition.

Does a nearby library have it? or does your teacher have it?

It would be better if your teacher helped you decide the chapters to read since they suggested the book.

3. Jul 15, 2014

phillip56

Well. The test I'm going to take is some assessment test given by a college. In a nutshell, there's no teacher.

It seems like there is no one who is familiar with this textbook :'(