03613nam a22004935i 4500 978-0-387-75340-9 DE-He213 20260521091952.0 cr nn 008mamaa 101029s2011 xxu| s |||| 0|eng d 9780387753409 99780387753409 10.1007/978-0-387-75340-9 doi CICY 519 23 Enns, Richard H. author. It's a Nonlinear World [recurso electrónico] / by Richard H. Enns. 1. New York, NY : Springer New York, 2011. XII, 384p. 145 illus., 8 illus. in color. online resource. text txt rdacontent computer c rdamedia recurso en línea cr rdacarrier text file PDF rda Springer Undergraduate Texts in Mathematics and Technology, 1867-5506 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 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. MATHEMATICS. COMPUTER SIMULATION. DIFFERENTIAL EQUATIONS. MATHEMATICAL PHYSICS. MATHEMATICS. APPLICATIONS OF MATHEMATICS. SIMULATION AND MODELING. ORDINARY DIFFERENTIAL EQUATIONS. MATHEMATICAL METHODS IN PHYSICS. SpringerLink (Online service) Springer eBooks Printed edition: 9780387753386 Springer Undergraduate Texts in Mathematics and Technology, 1867-5506 http://dx.doi.org/10.1007/978-0-387-75340-9 Ver el texto completo en las instalaciones del CICY ddc ER 34611 34611 0 0 ddc 0 0 LE CICY CICY EL 2025-07-10 0 519 2025-07-10 08:40:22 2025-07-10 ER