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2010-10-22 10:41:25
《It's a Nonlinear World (Springer Undergraduate Texts in Mathematics and Technology)》
从数学的例子绘图，物理，化学，生物，工程，经济，医学，政治，体育，这本书说明了非线性动力学在我们这个世界起着至关重要的作用。范例涵盖了从广泛的传播，并在长期的天气预报缺乏可预测性，群体和国家之间的政治竞争，传染病可能的控制。
后一章介绍，探索意味着什么是非线性的，书中涵盖诸如极限环，分形，混沌，分叉，并孤子的数学概念，这将是贯穿全书的应用。 许多电脑模拟和练习让学生去探索更利用计算机代数系统深入枫叶的主题。 该文本的数学水平呈前暴露于常微分方程，并与波和扩散方程的熟悉程度。
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, and all Maple examples are included on a CD.
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
