00000cmm a22000004a 4500 UP-99796217611212383 Buklod 20250205114608.0 m go j cr |nu|||auu|a 250205s20102010nyu o j eng d 9780387753409 (eBook) 0387753400 (eBook) (iLib)UPD-00215704145 DMLR rda. eng DMLUC QA 3 E56 2011eb Enns, Richard H. author. It's a nonlinear world [electronic resource] Richard H. Enns. First edition. New York, New York Springer New York 2010. ©2011. 1 online resource (xii, 383 pages) illustrations. text rdacontent computer rdamedia online resource rdacarrier Springer undergraduate texts in mathematics and technology. 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 -- Inde IP-based subscription, access limited to within on-campus computer network. Access via Electronic Resources of the UPD University Library Websit 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 Electronic reproduction. New York SpringerLink 2011. Available via World Wide Web through SpringerLink Mathematics. SpringerLink (Online service). Electronic Resource Available for UP System via SpringerLink. https://doi.org/10.1007/978-0-387-75340-9 FO UPD DMLR QA 3 E56 2011eb Electronic Resource