Buch, Englisch, 384 Seiten, Previously published in hardcover, Format (B × H): 178 mm x 254 mm, Gewicht: 1018 g
Reihe: Springer Undergraduate Texts in Mathematics and Technology
Buch, Englisch, 384 Seiten, Previously published in hardcover, Format (B × H): 178 mm x 254 mm, Gewicht: 1018 g
Reihe: Springer Undergraduate Texts in Mathematics and Technology
ISBN: 978-1-4939-5071-3
Verlag: Springer
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 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.
Thebook 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.
Zielgruppe
Lower undergraduate
Autoren/Hrsg.
Fachgebiete
- Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computersimulation & Modelle, 3-D Graphik
- Technische Wissenschaften Technik Allgemein Modellierung & Simulation
- Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
Weitere Infos & Material
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.
