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Mathematical physics.  Physical mathematics  Physics  Mathematics
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What does quilting have to do with electric circuit theory? The answer is just one of the fascinating ways that bestselling popular math writer Paul Nahin illustrates the deep interplay of math and physics in the world around us in his latest book of challenging mathematical puzzles, Mrs. Perkins's Electric Quilt. With his trademark combination of intriguing mathematical problems and the historical anecdotes surrounding them, Nahin invites readers on an exciting and informative exploration of some of the many ways math and physics combine to create something vastly more powerful, useful, and interesting than either is by itself. In a series of brief and largely selfcontained chapters, Nahin discusses a wide range of topics in which math and physics are mutually dependent and mutually illuminating, from Newtonian gravity and Newton's laws of mechanics to ballistics, air drag, and electricity. The mathematical subjects range from algebra, trigonometry, geometry, and calculus to differential equations, Fourier series, and theoretical and Monte Carlo probability. Each chapter includes problemssome three dozen in allthat challenge readers to try their hand at applying what they have learned. Just as in his other books of mathematical puzzles, Nahin discusses the historical background of each problem, gives many examples, includes MATLAB codes, and provides complete and detailed solutions at the end. Mrs. Perkins's Electric Quilt will appeal to students interested in new math and physics applications, teachers looking for unusual examples to use in classand anyone who enjoys popular math books.
Mathematical physics.  Physical mathematics  Physics  Mathematics
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This text is designed for an intermediatelevel, twosemester undergraduate course in mathematical physics. It includes details of all important tools required in physics, and contains a large number of worked examples to illustrate the mathematical techniques developed and to show their relevance to physics.
Mathematical physics.  Physical mathematics  Physics  Mathematics
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Mathematical physics.  Physical mathematics  Physics  Mathematics
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Fractal geometry, together with the broader fields of nonlinear dynamics and complexity, represented a large segment of modern science at the end of the 20th century. Penetration of the resulting new paradigms into practically all academic disciplines has confirmed the fundamental assertion of universal formalism common to a wide range of human endeavors. This book contains an extended article by B B Mandelbrot, reviewing his contribution to fractal geometry and outlining some unsolved problems, with illustrations especially of finance and physics. It covers a range of multidisciplinary topics
Fractals  Mathematical physics.  Physical mathematics  Physics  Mathematics
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This book presents a survey of Topology and Differential Geometry and also, Lie Groups and Algebras, and their Representations. The first topic is indispensable to students of gravitation and related areas of modern physics, (including string theory) while the second has applications in gauge theory and particle physics, integrable systems and nuclear physics. Part I provides a simple introduction to basic topology, followed by a survey of homotopy. Calculus of differentiable manifolds is then developed, and a Riemannian metric is introduced along with the key concepts of connections and curva
Mathematical physics.  Physical mathematics  Physics  Mathematics
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This volume covers recent developments in the major areas of theoretical physics. The scope of the book ranges from small length scale (High Energy Physics, Neutrinos ...) through medium scale (Nuclear Physics) to large length scale (Condensed Matter Physics) up to classical and quantum Black Hole Physics. It also deals with topics in nonlinear physics, econophysics, new ideas in quantum mechanics, quantum information and quantum computation.
Physics  Mathematical physics.  Physical mathematics  Mathematics
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Theoretical physicist and Nobel Laureate Philip Anderson has been described as one of the most imaginative of condensed matter physicists working today. His achievements have not merely constituted significant discoveries in their own right, but have also frequently set the agenda for the work of others. His pioneering contributions include the Anderson model of magnetic impurities and the concept of localisation, both of which were mentioned in his Nobel Prize citation. He also worked on the study of spin glasses, the fluctuating valence problem and superexchange. He predicted the existence o
Mathematical physics.  Physical mathematics  Physics  Mathematics
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Mathematical physics.  Physical mathematics  Physics  Mathematics
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Mathematical physics  Physical mathematics  Physics  Mathematics
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