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Read online book Stephen Wiggins - Texts in Applied Mathematics: Introduction to Applied Nonlinear Dynamical Systems and Chaos 2 FB2

9780387001777
English

0387001778
Intended for advanced undergraduate or first-year graduate students, this is an introduction to applied nonlinear dynamics and chaos. The author has placed emphasis on questions and ideas which will enable students to take specific dynamical systems and obtain some quantitative information about the behaviour of these systems. He has included the basic core material that is necessary for higher levels of study and research. Thus, people who do not necessarily have an extensive mathematical background such as students in engineering, physics, chemistry and biology, should find this text as useful as students of mathematics., This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms. From the reviews: "Will serve as one of the most eminent introductions to the geometric theory of dynamical systems." --Monatshefte f�r Mathematik, This volume on applied dynamical systems provides the basic concepts for graduate students and researchers working in the area. It contains exercises and examples throughout. This new edition contains extensive new material on normal forms, homoclinic orbits, symmetries, and Hamiltonian dynamics, making it a comprehensive book on dynamical systems from a geometrical and analytical point of view. Graduate students and researchers in mathematics, physics, and engineering as well as other sciences will find this book useful.

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