Drawing examples from mathematics, physics, chemistry, biology, engineering, economics, medicine, politics, and sports, this book illustrates how nonlineardynamics 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 tobe nonlinear, the book covers the mathematical concepts such as limit cycles,fractals, chaos, bifurcations, and solitons, that will be applied throughout the book. Numerous computer simulations and exercises allow students to explore topics in greater depth using the Maple computer algebra system. The mathematical level of the text assumes prior exposure to ordinary differential equations and familiarity with the wave and diffusion equations. No prior knowledge of Maple is assumed, and all Maple examples are included on a CD. The book maybe 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. Explores in each chapter nonlinear phenomena drawnfrom a unique discipline within the physical and social sciences, engineering, and medicine INDICE: 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.
- ISBN: 978-0-387-75338-6
- Editorial: Springer
- Encuadernacion: Cartoné
- Páginas: 384
- Fecha Publicación: 29/11/2010
- Nº Volúmenes: 1
- Idioma: Inglés