Normal view MARC view ISBD view

It's a nonlinear world

By: Enns, Richard H.
Material type: materialTypeLabelBookPublisher: London Springer Science+Business Media 2011Description: xii, 383 p.ISBN: 9780387753386.Subject(s): Nonlinear functional analysisDDC classification: 515.7 Summary: Explores in each chapter nonlinear phenomena drawn from a distinctive discipline within the physical and social sciences, engineering, and medicine, Drawing examples from mathematics, physics, chemistry, biology, engineering, economics, medicine, politics, and sports, this book illustrates how nonlinear dynamics plays a vital role in our world. Examples cover a wide range from the spread and possible control of communicable diseases, to the lack of predictability in long-range weather forecasting, to competition between political groups and nations. After an introductory chapter that explores what it means to be nonlinear, the remainder of Part I covers nonlinear mathematical concepts such as fixed points, limit cycles, fractals, chaos, bifurcations, and solitons, and nonlinear diagnostic tools such as fixed point analysis, bifurcation diagrams, and Lyapunov exponents, to name a few. Part II of the text presents illustrative examples of nonlinear dynamics that are highly relevant to the contemporary world. At the end of each chapter, a wide variety of problems are presented which extend the ideas developed in the chapter as well as allow the reader to explore other aspects of our nonlinear world. The mathematical level of the text assumes good working knowledge of basic calculus and prior exposure to ordinary differential equations and the wave and diffusion equations. The book may be used at the undergraduate or graduate level to prepare science and engineering students for problems in the real world or for self-study by practicing scientists and engineers. The more casual reader can simply read the book for intellectual enjoyment. (http://www.springer.com/mathematics/applications/book/978-0-387-75338-6)
Tags from this library: No tags from this library for this title. Log in to add tags.
    average rating: 0.0 (0 votes)
Item type Current location Item location Call number Status Date due Barcode
Books Vikram Sarabhai Library
Slot 1379 (0 Floor, East Wing) 515.7 E6I8 (Browse shelf) Available 172465

Explores in each chapter nonlinear phenomena drawn from a distinctive discipline within the physical and social sciences, engineering, and medicine, Drawing examples from mathematics, physics, chemistry, biology, engineering, economics, medicine, politics, and sports, this book illustrates how nonlinear dynamics plays a vital role in our world. Examples cover a wide range from the spread and possible control of communicable diseases, to the lack of predictability in long-range weather forecasting, to competition between political groups and nations. After an introductory chapter that explores what it means to be nonlinear, the remainder of Part I covers nonlinear mathematical concepts such as fixed points, limit cycles, fractals, chaos, bifurcations, and solitons, and nonlinear diagnostic tools such as fixed point analysis, bifurcation diagrams, and Lyapunov exponents, to name a few. Part II of the text presents illustrative examples of nonlinear dynamics that are highly relevant to the contemporary world. At the end of each chapter, a wide variety of problems are presented which extend the ideas developed in the chapter as well as allow the reader to explore other aspects of our nonlinear world. The mathematical level of the text assumes good working knowledge of basic calculus and prior exposure to ordinary differential equations and the wave and diffusion equations. The book may be used at the undergraduate or graduate level to prepare science and engineering students for problems in the real world or for self-study by practicing scientists and engineers. The more casual reader can simply read the book for intellectual enjoyment. (http://www.springer.com/mathematics/applications/book/978-0-387-75338-6)

There are no comments for this item.

Log in to your account to post a comment.

Powered by Koha