Sinossi
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.
"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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Product Description
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 and MATLAB exercises. 2010 edition.
Contenuti
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
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
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Dynamical Systems (Dover Books on Mathematics)
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Paperback. Condizione: new. Paperback. A pioneer in the field of dynamical systems discusses one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials include PowerPoint slides and MATLAB exercises. 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. A pioneer in the field of dynamical systems discusses one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials include PowerPoint slides and MATLAB exercises. 2010 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Codice articolo 9780486477053
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