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Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible. This title presents the foundations of this theory.

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Provides an introduction to Hodge theory - one of the central and most vibrant areas of contemporary mathematics - from leading specialists on the subject. This book includes topics that range from the basic topology of algebraic varieties to the study of variations of mixed Hodge structure and the Hodge theory of maps.

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The invasion of algebra had occurred on three fronts through the construction of cohomology theories for groups, Lie algebras, and associative algebras. This book presents a single homology theory that embodies all three.

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Featuring a challenging exposition of calculus in the European style, this text is suitable for a first-year university honors course or for a third-year analysis course. It uses applications of derivatives and integrals to show how calculus is applied in these disciplines. It also offers both routine and demanding exercises.

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Advises teen girls how to tackle algebra, offering step-by-step coverage of everything from square roots and polynomials to quadratic equations and word problems.

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Invites readers to explore many of the same fundamental questions that working engineers deal with every day. This title illustrates how physical models are created from abstract mathematical ones.

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Helps reader find a complete and systematic exposition of the theory of hyperfunctions on totally real submanifolds of multidimensional complex space, in particular of hyperfunction theory in real space. This book provides definitions of the hypo-analytic wave-front set and of the Fourier-Bros-Iagolnitzer transform of a hyperfunction.

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In Hypo-Analytic Structures Franois Treves provides a systematic approach to the study of the differential structures on manifolds defined by systems of complex vector fields. Serving as his main examples are the elliptic complexes, among which the De Rham and Dolbeault are the best known, and the tangential Cauchy-Riemann operators. Basic geometri

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The hypoelliptic Laplacian is a family of operators that is supposed to interpolate between the ordinary Laplacian and the geodesic flow. This book uses the hypoelliptic Laplacian to evaluate semisimple orbital integrals in a formalism that unifies index theory and the trace formula.

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The study guide for people who just need to pass math! Written in a conversational style that reads just like a teacher in the classroom talking you through each step. Use the worked out examples and practice problems to learn what is needed to pass math!

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Develops a general analysis and synthesis framework for impulsive and hybrid dynamical systems. This book is written from a system-theoretic point of view and is intended for graduate students, researchers, and practitioners of engineering and applied mathematics as well as computer scientists, physicists, and other scientists.

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This volume presents a set of studies that explore significant questions about mathematics teaching and learning, and illustrate new methodologies for the analysis of new questions about mathematics education.

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Book 7 in the Princeton Mathematical Series. 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 preserve the original texts of these important books while presenting

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Among the many differences between classical and p-adic objects, those related to differential equations occupy a special place. This book aims to show that every smooth p-adic analytic space is provided with a sheaf of functions that includes analytic ones and satisfies a uniqueness property. It is aimed at graduate students and mathematicians.

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