Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
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E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA427.SPR FCT 80842 (Browse shelf) | 1 | Available |
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QA405.SPR FCT 82525 Harmonic functions and potentials on finite or infinite networks | QA408.5.SPR FCT 82754 Growth theory of subharmonic functions | QA415.FRA FCT Stabilizing high energetic states of pharmaceutical drugs | QA427.SPR FCT 80842 It's a nonlinear world | QA427.SPR FCT 82653 Method of guiding functions in problems of nonlinear analysis | QA427.SPR FCT 82702 Optimal experimental design for non-linear models | QA427.SPR FCT 82850 Chaotic dynamics in nonlinear theory |
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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.
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