Fractals in chemistry

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Victor Havin, Burglind Jöricke

This Ergebnisse volume is devoted to the Uncertainty Principle (UP) and it contains a collection of essays dealing with the various manifestations of this phenomenon. The authors describe different approaches to the subject, using both "real" and "complex" techniques and succeed to show the influence of the UP in some areas outside Fourier Analysis. The book is essentially self-contained and thus accessible to any graduate student acquainted with the fundamentals of Fourier, Complex and Functional Analysis. As there is no other book approaching the subject of UP in the way Havin and Joericke do in this work, this book will certainly be a welcome addition to the bookshelves of many researchers working in this field.

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N. Balakrishnan

"Presenting a concise, well-rounded focus on the statistical concepts and applications that are essential for understanding gathered data in the earth and atmospheric sciences. Containing contributions from over 100 leading academics, researchers, and practitioners in these fields, this comprehensive book unveils modern, approaches to the acquisition and analysis of data across diverse subject areas like geology, agriculture, animal science, and geophysics. It discusses techniques related to survey methodology, computational statistics, and operations research and covers new areas of interest like non-linear weather forecasting, construction geological surveys, and water pollution assessment"-- "Provides a realistic alternative to the individual user who would like a quick reference containing encyclopedic information that pertains to their particular research interests and needs"--

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Fritz Colonius, Wolfgang Kliemann

The Dynamics of Control provides a carefully integrated development of the mathematical connections between nonlinear control, dynamical systems, and time-varying perturbed systems for scientists and engineers. The central theme is the notion of control flow with its global dynamics and linearization presented in detail. The book's scope is comprehensive and includes global theory of dynamical systems under time-varying perturbations, global and local dynamics of control systems, connections between control systems and dynamical systems and the relevant numerical methods for global dynamics, linearization, and stability. Topics are developed with a diverse and extensive selection of applied problems from control and dynamical systems. Topics and Features: * complete coverage of unified theory of control flows * wide array of motivating problems from control and dynamical systems to appeal to mathematicians, scientists, and engineers * relevant motivation and a listing of important definitions and results at the beginning of each chapter * a compilation of essential background information in four appendices: nonlinear geometric control, topological theory of dynamical systems, computations of reachable sets, and numerical solution of Hamilton-Jacobi-Belman equations * discussion of numerical methods This new text and self-study reference guide is an excellent resource for the foundations and applications of control theory and nonlinear dynamics. All graduates, practitioners, and professionals in control theory, dynamical systems, perturbation theory, engineering, physics, and nonlinear dynamics will find the book a rich source of ideas, methods, and applications.

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Eldon D. Enger, Bradley S. Smith

Publisher Description: This full-color, introductory environmental science text is known for being concise, conceptual. The approach and reading level cover the basic concepts without overloading students with too much detail. With the central theme throughout the text being interrelatedness, the authors identify major issues and give appropriate examples that illustrate the complex interactions that are characteristic of all environmental issues.