Topology books

The conjugate operator method is a powerful recently developed technique for studying spectral properties of self-adjoint...  Read More >>

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""These volumes collect almost all of the research and expository papers of J.-P. Serre published in mathematical...  Read More >>

This book is about modern algebraic geometry. Euclid is said to have answered: “There is no royal road to geometry!”...  Read More >>

""Generalized Solutions of Operator Equations and Extreme Elements"" presents recently obtained results in the study...  Read More >>

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The theory presented in this book is developed constructively, is based on a few axioms encapsulating the notion...  Read More >>

An important tool in these studies has been the theory of normally hyperbolic invariant manifolds and foliations...  Read More >>

John Milnor, best known for his work in differential topology, K-theory, and dynamical systems, is one of only three...  Read More >>

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This book provides a comprehensive and up-to-date introduction to Hodge theory one of the central and most vibrant...  Read More >>

A phenomenon which appears in nature, or human behavior, can sometimes be explained by saying that a certain potential...  Read More >>

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This textbook offers an accessible, modern introduction at undergraduate level to an area known variously as general...  Read More >>

Many parallels between complex dynamics and hyperbolic geometry have emerged in the past decade. Building on work...  Read More >>

Surgery theory, the basis for the classification theory of manifolds, is now about forty years old. The sixtieth...  Read More >>

This book presents a new result in 3-dimensional topology. It is well known that any closed oriented 3-manifold...  Read More >>

The recent introduction of the Seiberg-Witten invariants of smooth four-manifolds has revolutionized the study of...  Read More >>

Designed for a first course in real variables, this text presents the fundamentals for more advanced mathematical...  Read More >>

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Three levels of examples and problems make this volume appropriate for students and professionals. Abundant exercises,...  Read More >>

Our purpose and main concern in writing this book is to illuminate classical concepts from the noncommutative viewpoint,...  Read More >>

Locally Convex Spaces  Read More >>

Providing a succinct yet comprehensive treatment of the essentials of modern differential geometry and topology,...  Read More >>