Shlomo Sternberg

Dynamical Systems (eBook, ePUB)

• Format: ePub

Produktbeschreibung

Celebrated mathematician Shlomo Sternberg, a pioneer in the field of dynamical systems, created this modern one-semester introduction to the subject for his classes at Harvard University. Its wide-ranging treatment covers one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials offer a variety of online components, including PowerPoint lecture slides for professors and MATLAB exercises. "Even though there are many dynamical systems books on the market, this book is bound to become a classic. The theory is explained with attractive stories illustrating the theory of dynamical systems, such as the Newton method, the Feigenbaum renormalization picture, fractal geometry, the Perron-Frobenius mechanism, and Google PageRank." — Oliver Knill, PhD, Preceptor of Mathematics, Harvard University.

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Produktdetails

• Verlag: Guilford Publications
• Seitenzahl: 272
• Erscheinungstermin: 15. Mai 2014
• Englisch
• ISBN-13: 9780486135144
• Artikelnr.: 41204647

Autorenporträt

Shlomo Sternberg is a leading mathematician known for his work in geometry. A former Guggenheim Fellow at Harvard, he has written several undergraduate texts. Sternberg is a member of the National Academy of Science and the American Philosophical Society.

Inhaltsangabe

1. Iteration and fixed points 2. Bifurcations 3. Sarkovsky's theorem,
Singer's theorem, intermittency 4. Conjugacy 5. Space and time averages 6.
The contraction fixed point theorem 7. The Hausdorff metric and
Hutchinson's theorem 8. Hyperbolicity 9. The Perron-Frobenius theorem 10.
Some topics in ordinary differential equations 11. Lotka-Volterra 12.
Symbolic dynamics Bibliography Index