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Dynamical Systems (Dover Books on Mathematics)

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Book Details

  • Author: Shlomo Sternberg

  • Brand: Dover

  • Edition: 2010

  • Binding: Paperback

  • ISBN: 0800759477050

  • Pages: 272

  • Release Date: 23-06-2010

  • Languages: English


About The Book

Dynamics: A Primer by Shlomo Sternberg provides a comprehensive and accessible introduction to dynamical systems, crafted from the celebrated mathematician’s own teaching at Harvard University. This textbook covers a wide range of topics essential for anyone interested in understanding the theory and application of dynamical systems. Topics include one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains.

Written for a one-semester course, this book is both a rigorous mathematical resource and an engaging text that illustrates concepts through captivating examples and stories. Sternberg covers complex ideas such as the Newton method, Feigenbaum renormalization, fractal geometry, and even the Google PageRank algorithm. These fascinating applications help bridge the gap between theory and real-world systems, making this book a valuable tool for students and researchers in mathematics, computer science, and related fields.

Additionally, supplementary online materials include PowerPoint lecture slides for professors and MATLAB exercises, making it easier for educators to incorporate this material into their curriculum.

Dynamical Systems: A Primer is bound to become a classic in the field, offering clarity and insight into the dynamic forces shaping our world, from mathematical theory to the practical implications of systems in motion.