Invitation to Dynamical Systems (Dover Books on Mathematics)
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Invitation to Dynamical Systems (Dover Books on Mathematics)
Book Details
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Author: Edward Scheinerman
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Publisher: Dover
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Edition: Reprint
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Binding: Paperback
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Format: Illustrated
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Number of Pages: 408
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Release Date: 18-01-2012
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Language: English
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ISBN: 9780486485942
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Package Dimensions: 9.1 x 7.6 x 0.9 inches
About The Book
Introduction to Dynamical Systems by Edward Scheinerman offers an accessible entry into the world of dynamical systems for readers who are ready to move beyond linear algebra but may not yet be prepared for abstract mathematical concepts. The book introduces both the classical theory of linear systems and the modern theory of nonlinear and chaotic systems in an intuitive and geometric manner. Instead of focusing solely on theorems and proofs, the text emphasizes understanding the underlying geometry and the intuitive nature of these systems.
Key topics include:
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Classical Theory of Linear Systems: The traditional study of dynamical systems and their behaviors.
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Nonlinear and Chaotic Systems: An exploration of more complex systems that exhibit chaos and nonlinearity.
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Bifurcation: The study of how small changes in parameters can cause a system to undergo sudden shifts in behavior.
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Symbolic Dynamics and Fractals: An introduction to the symbolic representation of dynamical systems and the fractal nature of some systems.
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Complex Systems: A broader view of systems in science and mathematics that exhibit complicated behavior.
Additionally, this book integrates computing tools, offering readers the ability to apply theory to real-world systems. Appendices provide essential background material, such as an introduction to differential equations and practical explanations on how to write MATLAB, Mathematica, and C programs to compute dynamical systems.
This book is designed for advanced undergraduates and graduate students with prior knowledge of calculus and linear algebra. It encourages a deep understanding of dynamical systems with an approachable, intuitive presentation.
