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A Modern Introduction to Dynamical Systems

Richard J. Brown

28 June 2018

ISBN: 9780198743279

432 pages
Paperback
234x156mm

In Stock

Price: £36.99

A senior-level, proof-based undergraduate text in the modern theory of dynamical systems that is abstract enough to satisfy the needs of a pure mathematics audience, yet application heavy and accessible enough to merit good use as an introductory text for non-math majors.

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Description

A senior-level, proof-based undergraduate text in the modern theory of dynamical systems that is abstract enough to satisfy the needs of a pure mathematics audience, yet application heavy and accessible enough to merit good use as an introductory text for non-math majors.

  • A comprehensive tour of dynamical systems theory through models and concepts from very simple to very complicated
  • Equally accessible to math and non-math majors
  • Makes high-level abstract theory accessible through application and examples

About the Author(s)

Richard J. Brown, Director of Undergraduate Studies in Mathematics, Johns Hopkins University

Richard J. Brown is a Teaching Professor and the Director of Undergraduate Studies in the Mathematics Department at Johns Hopkins University. His mathematical research involves using dynamical systems to study the topological and geometrical properties of surfaces. He is also active in studying and enhancing the effectiveness of undergraduate university education in mathematics and STEM and how students and educators navigate the difficult transition between secondary school mathematics and university mathematics.

Table of Contents

    1:What is a Dynamical System?
    2:Simple Dynamics
    3:The Objects of Dynamics
    4:Flows and Maps of Euclidean Space
    5:Recurrence
    6:Phase Volume Preservation
    7:Complicated Orbit Structure
    8:Dynamical Invariants

Reviews

"This is a great introductory text for all students interested in the more mathematical aspects of nonlinear dynamics and chaos theory. I particularly recommend it to motivated students who consider specialising in dynamical systems theory. Whoever has mastered this book has an excellent overview of the modern understanding of the subject matter, has seen many interesting examples of various kinds of dynamical systems, and is well prepared to take up graduatelevel studies in this direction. Probably the author has written a new classic." - Thomas Peters, Contemporary Physics

"The book has over three hundred exercises integrated with the text. Very few are routine and several are pretty challenging. Overall this is a very attractive book" - William J. Satzer, Mathematical Association of America

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