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 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.
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.
Inhaltsangabe
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
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
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