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Any familiar with Hirsch's "Differential Equations"

  1. Jul 8, 2014 #1
    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)

    Since I haven't read the book, I am not sure about this list. Anyone who read his book (Either edition or both editions) ? Please tell me if my list is correct, if not please adjust it for me. Thanks!!
     
  2. jcsd
  3. Jul 10, 2014 #2

    jedishrfu

    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.
     
  4. Jul 15, 2014 #3
    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 :'(
     
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