- Paperback: 512 pages
- Publisher: Basic Books; 1 edition (Dec 29 2000)
- Language: English
- ISBN-10: 0738204536
- ISBN-13: 978-0738204536
- Product Dimensions: 23.4 x 15.2 x 2.8 cm
- Shipping Weight: 726 g
- Average Customer Review: 4.9 out of 5 stars See all reviews (21 customer reviews)
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Amazon Bestsellers Rank:
#68,436 in Books (See Top 100 in Books)
- #29 in Books > Science > Physics > Chaos & Systems
- #32 in Books > Professional & Technical > Professional Science > Mathematics > Chaos & Systems
- #83 in Books > Science > Mathematics > Pure Mathematics > Calculus
- See Complete Table of Contents
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Product Details |
Product Description
Book Description
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.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.
About the Author
Steven H. Strogatz is professor of applied mathematics at Cornell University. He received his Ph.D. from Harvard University in 1986. Professor Strogatz has been honored with several awards including MIT's highest teaching prize, the E.M. Baker Award for Excellence in Undergraduate Teaching, as well as a Presidential Young Investigator Award from the National Science Foundation. His research on a wide variety of nonlinear systems--from synchronized fireflies to small-world networks--has been featured in the pages of Scientific American, Nature, Discover, Business Week, and The New York Times .
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Most helpful customer reviews
4.0 out of 5 stars
Intuitive introduction, lacks rigor,
By
This review is from: Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering (Paperback)
This is a fairly friendly, intuitive introduction to non-linearity, with an emphasis on bifurcations. There is a very brief discussion of fractals. It is probably most suitable for a 3rd or 4th year course. The level of mathematical rigor is a bit low, which will make the book easier for engineers and physicists but may leave mathematicians unprepared for a more advanced course.
5.0 out of 5 stars
Great Book,
By
This review is from: Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering (Paperback)
I took a third-level course in Dynamical Systems at my university and we used this book. It is a highly approachable text which is very clear and concise, with examples complementing the material quite well. I would recommend this book as a reference for a course in dynamical systems, as well as for anyone who is inclined to learn about the theory, applications and consequences of chaos.
5.0 out of 5 stars
Chaos on a plate,
This review is from: Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry, and Engineering (Paperback)
Strogatz's approach to Nonlinear Dynamics is suitable for anyone equipped with a good basic understanding of ordinary differential equations. He allows the reader to gradually build-up their understanding through a series of illustrations and examples - this is the sort of book that will be indispensable the night before a final year undergraduate Chaos and Nonlinear Dynamics exam. Not excessively mathematical, contains solid explanations and encourages the reader to learn more about this fantastic area of physics.
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