---

＜電子ブック＞
It's a Nonlinear World / by Richard H. Enns
(Springer Undergraduate Texts in Mathematics and Technology. ISSN:18675514)

版	1st ed. 2011.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2011
本文言語	英語
大きさ	XII, 384 p. 145 illus., 8 illus. in color : online resource
著者標目	*Enns, Richard H author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Computer simulation LCSH:Differential equations LCSH:Mathematical physics FREE:Applications of Mathematics FREE:Computer Modelling FREE:Differential Equations FREE:Mathematical Methods in Physics
一般注記	Preface -- Part I. World of Mathematics -- 1. World of Nonlinear Systems -- 2. World of Nonlinear ODEs --  3. World of Nonlinear Maps --  4. World of Solitons -- Part II. Our Nonlinear World -- 5. World of Motion -- 6. World of Sports -- 7. World of Electromagnetism -- 8. World of Weather Prediction -- 9. World of Chemistry -- 10. World of Disease -- 11. World of War --  Bibliography -- Index 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 wellas 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:URL=https://doi.org/10.1007/978-0-387-75340-9

 類似資料