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The description for this book, Contributions to the Theory of Games (AM-40), Volume IV, will be forthcoming.

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The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-20), Volume I, will be forthcoming.

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These two new collections, numbers 28 and 29 respectively in the Annals of Mathematics Studies, continue the high standard set by the earlier Annals Studies 20 and 24 by bringing together important contributions to the theories of games and of nonlinear differential equations.

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The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-36), Volume III, will be forthcoming.

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Annals of Mathematics Studies: Number 41The present volume of the Contributions, fourth in the series, covers, like its predecessors, a great variety of topics in non-linear differential equations.

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The description for this book, Contributions to the Theory of Nonlinear Oscillations (AM-45), Volume V, will be forthcoming.

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The description for this book, Contributions to the Theory of Partial Differential Equations. (AM-33), will be forthcoming.

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The description for this book, Contributions to the Theory of Riemann Surfaces. (AM-30), will be forthcoming.

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Splines, both interpolatory and smoothing, have a long and rich history that has largely been application driven. This book unifies these constructions in a comprehensive and accessible way, drawing from various methods and applications to show how they arise naturally in the theory of linear control systems.

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The description for this book, Convergence and Uniformity in Topology. (AM-2), will be forthcoming.

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Focuses on the philosophical relationship between mathematics and the natural sciences. This title shows that the axioms needed for the mathematics used in physics can also generate practically various fields of contemporary pure mathematics. It also provides a foundation for investigations in string theory and other areas of physics.

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Offers advanced graduate students and researchers with a text that discusses the dynamic electromagnetism of the cosmos - that is, the vast magnetic fields that are carried bodily in the swirling ionized gases of stars and galaxies and throughout intergalactic space.

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A personal tour through the world of physics--from Newton's laws to quantum mechanics--by one of the most celebrated physicists of the twentieth century

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Presents readers with a coherent branch of nonlinear mathematical analysis that is suited to the study of optimization problems. This volume treats the topics such as: systems of inequalities, the minimum or maximum of a convex function over a convex set, Lagrange multipliers, minimax theorems and duality, and more.

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In this book, Robert Israel considers classical and quantum lattice systems in terms of equilibrium statistical mechanics. He is especially concerned with the characterization of translation-invariant equilibrium states by a variational principle and the use of convexity in studying these states. Arthur Wightman's Introduction gives a general and h

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Explores an important aspect of number theory - the theory of exponential sums over finite fields and their Mellin transforms - from a categorical point of view. This book presents fundamentally important results and a plethora of examples, opening up new directions in the subject.

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The essays in this volume deal both with the influences on Copernicus, including that of Greek and Arabic thinkers, and with his own life and attitudes. It also examines how he was seen by contemporaries and describes his relationship to other scientists, including Galileo, Brahe and Kepler.

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This study applies the findings of the new nonlinear sciences to understanding the processes of growing complexity and intensifying chaos in the modern world.