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Random Walks and Diffusion
This block explores the diffusion equation which is most commonly encountered in discussions of the flow of heat and of molecules moving in liquids, but diffusion equations arise from many different areas of applied mathematics. As well as considering the solutions of diffusion equations in detail, we also discuss the microscopic mechanism underlying the diffusion equation, namely that particles of matter or heat move erratically. This involves a discussion of elementary probability and statistics, which are used to develop a description of random walk processes and of the central limit theorem. These concepts are used to show that if particles follow random walk trajectories, their density obeys the diffusion equation.
Open University
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Open Mathematics
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Open Mathematics
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Open Mathematics
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Introduction to Chemical Engineering Computing
Step-by-step instructions enable chemical engineers to master key software programs and solve complex problems Today, both students and professionals in chemical engineering must solve increasingly complex problems dealing with refineries, fuel cells, microreactors, and pharmaceutical plants, to name a few. With this book as their guide, readers learn to solve these problems using their computers and Excel, MATLAB, Aspen Plus, and COMSOL Multiphysics. Moreover, they learn how to check their solutions and validate their results to make sure they have solved the problems correctly. Now in its Second Edition, Introduction to Chemical Engineering Computing is based on the author’s firsthand te...
The Nature of Britain
"The Nature of Britain is another landmark primetime series brought to us by the formidable Natural History Unit. In each programme Alan turns wildlife detective, taking us on a journey of discovery through eight different British natural habitats and their unique flora and fauna, week by week piecing together the jigsaw that makes up our homeland. Tying in with the series, The Nature of Britain is an inspirational, practical and definitive guide to British wildlife. Written by Alan, the book offers the reader a closer look at the animals and plants of Britain's landscape, following the structure of the series with chapters ranging from Mountains, Lakes, Forests and Seashores to Urban Landscapes. The Nature of Britain paints a beautiful contemporary portrait of Britains wildlife, and features fascinating essays on each habitat, followed by identification guides to the species that can be found in each one. It will be visually stunning, illustrated with over 900 breathtaking images."
