A Modern Introduction to Dynamical Systems

ISBN : 9780198743286

Richard Brown
400 Pages
156 x 234 mm
Pub date
Jun 2018


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This text is a mathematics-based, undergraduate text in the modern theory of dynamical systems geared for both mathematics majors intent on eventual research in the field as well as engineers and physical scientists wanting a mathematical theory-based introductory approach to both the practical and abstract notions of a mathematical model.


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

About the author: 

Richard 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.

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