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Uses the phenomenon called 'six degrees of separation' as a prelude to a more general exploration: under what conditions can a small world arise in any kind of network This book is intended for a variety of fields, including physics and mathematics, as well as sociology, economics, and biology.

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A refresher course and handy reference guide for parents who have forgotten the maths they knew, but now want to help their children with their maths homework.

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Considers the so-called Unlikely Intersections, a topic that embraces well-known issues, such as Lang's and Manin-Mumford's, concerning torsion points in subvarieties of tori or abelian varieties. This book considers algebraic subgroups that meet a given subvariety in a set of unlikely dimension.

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Since its introduction by Friedhelm Waldhausen in the 1970s, the algebraic K-theory of spaces has been recognized as the main tool for studying parametrized phenomena in the theory of manifolds. However, a full proof of the equivalence relating the two areas has not appeared until now. This book presents such a proof, essentially completing Waldhau

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Pure and applied mathematicians, physicists, scientists, and engineers use matrices and operators and their eigenvalues in quantum mechanics, fluid mechanics, structural analysis, acoustics, ecology, numerical analysis, and many other areas. This is the work on nonnormal matrices and operators.

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Proves an analogue of Thurston's celebrated hyperbolic Dehn surgery theorem in the context of complex hyperbolic discrete groups, and then derives two main geometric consequences from it. This book is suitable for graduate students interested in this area of research, as well as researchers in allied fields such as Kleinian groups and CR geometry.

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Spiders In My House is a 1 through 10 very clever rhyming counting book for very young children. The pages are filled with silly and colorful pictures of various spiders one might find throughout their house in early Spring.

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The concepts of a spin manifold, spinor fields, Dirac operators, and A-genera are presented comprehensively in this book. It also features the development of the theory of Cl-linear elliptic operators and the associated index theorem, which connects certain subtle spin-corbordism invariants to classical questions in geometry.

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Develops a general stability analysis and control design framework for nonlinear large-scale interconnected dynamical systems, and presents a treatment on vector Lyapunov function methods, vector dissipativity theory, and decentralized control architectures.

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Covers stability and stabilization of equilibria for both linear and nonlinear time-invariant systems of ordinary differential equations. Suitable for advanced undergraduates and beginning graduate students in the sciences, engineering, and mathematics, this book takes a modern approach that bridges the gap between linear and nonlinear systems.

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The author, a Nobel prize-winner, has added to the American translation several chapters not in the original. Originally published in 1961. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions pres

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The description for this book, Stationary Processes and Prediction Theory. (AM-44), will be forthcoming.

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Encompassing both introductory and more advanced research material, these notes deal with the author's contributions to stochastic processes and focus on Brownian motion processes and its derivative white noise. Originally published in 1970. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously

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Aimed at a diverse scientific audience, this book explains the theory underlying the classical statistical methods. It covers topics that include common probability distributions; sampling and the distribution of sampling statistics; confidence intervals, hypothesis testing, and the theory of tests; estimation; and more.

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Applying statistical results to real life situations can be difficult or futile if you can't be certain what the results actually mean.

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The description for this book, Surface Area. (AM-35), will be forthcoming.