A Modern Introduction to Dynamical Systems

Inbunden, Engelska, 2018

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Beskrivning

This text is a high-level introduction to the modern theory of dynamical systems; an analysis-based, pure mathematics course textbook in the basic tools, techniques, theory and development of both the abstract and the practical notions of mathematical modelling, using both discrete and continuous concepts and examples comprising what may be called the modern theory of dynamics.Prerequisite knowledge is restricted to calculus, linear algebra and basic differential equations, and all higher-level analysis, geometry and algebra is introduced as needed within the text. Following this text from start to finish will provide the careful reader with the tools, vocabulary and conceptual foundation necessary to continue in further self-study and begin to explore current areas of active research in dynamical systems.

Produktinformation

Utgivningsdatum:2018-06-28
Mått:164 x 240 x 25 mm
Vikt:826 g
Format:Inbunden
Språk:Engelska
Antal sidor:432
Förlag:OUP OXFORD
ISBN:9780198743286

Utforska kategorier

Matematik inom Naturvetenskap och teknik
Algebra inom Naturvetenskap och teknik

Mer om författaren

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.

Recensioner i media

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.

Innehållsförteckning

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