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Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering

Door Steven H. Strogatz

Categorie
Algemeen wetenschap
Boeknummer
#349818-ZB1
Titel
Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering
Auteur
Strogatz, Steven H.
Boektype
Gebonden hardcover
Uitgeverij
Reading, MA : Addison-Wesley
Jaar van uitgave
1994
ISBN10
0201543443
ISBN13
9780201543445
Taal
Engels
Beschrijving
(Studies in Nonlinearity)
Samenvatting
This 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. }This 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 w... (Lees verder)ith 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. }
Pagina's
498
Conditie
Goed
Prijs
€ 100,00

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