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 Nonlinear Dynamics And ChaosWith Applications To Physics, Biology, Chemistry, And Engineeringby Steven H. Strogatz Jan 18, 2001
DescriptionThis textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors. A unique feature of the book is its emphasis on applications. These include mechanical vibrations, lasers, biological rhythms, superconducting circuits, insect outbreaks, chemical oscillators, genetic control systems, chaotic waterwheels, and even a technique for using chaos to send secret messages. In each case, the scientific background is explained at an elementary level and closely integrated with the mathematical theory. Richly illustrated, and with many exercises and worked examples, this book is ideal for an introductory course at the junior/senior or first-year graduate level. It is also ideal for the scientist who has not had formal instruction in nonlinear dynamics, but who now desires to begin informal study. The prerequisites are multivariable calculus and introductory physics. Reviews”Steven Strogatz is the best teacher I know. From his own course he has crystallized the perfect textbook for a first undergraduate course in non-linear dynamics, covering both continuous and discrete processes plus fractals, with wonderfully seductive examples and problem sets. The book would also serve well for higher level courses. I would love to teach out of it.” ”Steven Strogatz’s Nonlinear Dynamics and Chaos is an exceptionally well written introduction to the modern theory of dynamical systems and differential equations, with many novel applications.” Selling TerritoryWorld |
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