Nonlinear Systems: 10 (Cambridge Texts in Applied Mathematics, Series Number 10)

Book Details:

• Author: P.G. Drazin

• Publisher: Cambridge University Press

• Binding: Paperback

• Number of Pages: 352

• ISBN-13: 9780521406680

• Languages: English

• Dimensions: 8.8 x 6.0 x 1.1 inches

About The Book:
Nonlinear Systems: Bifurcation, Chaos, and Fractals by P.G. Drazin introduces the essential theories of nonlinear systems and their applications in various scientific fields. Aimed at senior undergraduates and postgraduates in disciplines like physics, engineering, chemistry, meteorology, and mathematics, this book provides a detailed, integrated approach to understanding nonlinear dynamics, focusing on key concepts such as bifurcation, chaos, fractals, and nonlinear oscillations.

The book delves into the evolution of solutions of nonlinear equations, drawing from a wide array of mathematical tools and concepts. Drazin's approach presents the mathematical properties of nonlinear systems through difference and differential equations as part of an integrated theory, rather than isolated fashionable topics. Emphasizing the essence of the principles rather than strict proofs, this text is accessible to readers with knowledge of linear algebra and advanced calculus.

Key topics covered include:

• Bifurcation Theory

• Chaos and Fractals

• Equilibrium and Stability

• Nonlinear Oscillations

• Worked Examples and Problems to illustrate general principles

This comprehensive text, developed from Drazin’s courses in the UK and the United States, is a valuable resource for understanding the mathematical underpinnings of complex systems and is ideal for those looking to explore nonlinear dynamics in practical and theoretical contexts.