Topology

This volume offers an introduction to recent developments in several active topics of research at the interface between geometry, topology and quantum field theory.

This third of the three-volume book is targeted as a basic course in algebraic topology and topology for fiber bundles for undergraduate and graduate students of mathematics.

An infinite-dimensional manifold is a topological manifold modeled on some infinite-dimensional homogeneous space called a model space.

The second volume of three providing a full and detailed account of undergraduate mathematical analysis.

Algebraic K-Theory has become an increasingly active area of research.

There are many proposed aims for scientific inquiry--to explain or predict events, to confirm or falsify hypotheses, or to find hypotheses that cohere with our other beliefs in some logical or probabilistic sense.

Introduction to Global Optimization Exploiting Space-Filling Curves provides an overview of classical and new results pertaining to the usage of space-filling curves in global optimization.

"e;Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics.

A self-contained exposition of local class field theory for students in advanced algebra.

Introduction to Dynamical Systems and Geometric Mechanics provides a comprehensive tour of two fields that are intimately entwined: dynamical systems is the study of the behavior of physical systems that may be described by a set of nonlinear first-order ordinary differential equations in Euclidean space, whereas geometric mechanics explore similar systems that instead evolve on differentiable manifolds.

Alexandr Danilovich Alexandrov has been called a giant of 20th-century mathematics.

Each undergraduate course of algebra begins with basic notions and results concerning groups, rings, modules and linear algebra.

Soviet citizens can buy Monastyrsky's biography of Riemann for eleven kopeks.

This introduction to braid groups keeps prerequisites to a minimum, while discussing their rich mathematical properties and applications.

This book provides a detailed introduction to the coarse quasi-isometry of leaves of a foliated space and describes the cases where the generic leaves have the same quasi-isometric invariants.

The purpose of this book is to provide an integrated development of modern analysis and topology through the integrating vehicle of uniform spaces.

This textbook provides a gentle introduction to intersection homology and perverse sheaves, where concrete examples and geometric applications motivate concepts throughout.

This book offers a comprehensive introduction by three of the leading experts in the field, collecting fundamental results and open problems in a single volume.

This conference brought together physicists and mathematicians working on spinors, which have played an important role in recent research on supersymmetry, Kaluza-Klein theories, twistors and general relativity.

Als mehrbändiges Nachschlagewerk ist das Springer-Handbuch der Mathematik in erster Linie für wissenschaftliche Bibliotheken, akademische Institutionen und Firmen sowie interessierte Individualkunden in Forschung und Lehre gedacht.

This monograph aims to give a self-contained introduction into the whole field of topological analysis: Requiring essentially only basic knowledge of elementary calculus and linear algebra, it provides all required background from topology, analysis, linear and nonlinear functional analysis, and multivalued maps, containing even basic topics like separation axioms, inverse and implicit function theorems, the Hahn-Banach theorem, Banach manifolds, or the most important concepts of continuity of multivalued maps.

This book, first published in 2000, focuses on developments in the study of geodesic flows on homogenous spaces.

Topology is the mathematical study of the most basic geometrical structure of a space.

This book grew out of courses which I taught at Cornell University and the University of Warwick during 1969 and 1970.

This book is an exposition of the theoretical foundations of hyperbolic manifolds.

Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory.

Freeness of an action of a compact Lie group on a compact Hausdorff space is equivalent to a simple condition on the corresponding equivariant K-theory.

A systematic and integrated approach to Cantor Sets and their applications to various branches of mathematics The Elements of Cantor Sets: With Applications features a thorough introduction to Cantor Sets and applies these sets as a bridge between real analysis, probability, topology, and algebra.

This monograph provides an accessible introduction to the applications of pseudoholomorphic curves in symplectic and contact geometry, with emphasis on dimensions four and three.

Part one of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

A thorough graduate-level introduction to the variational analysis of nonlinear problems described by nonlocal operators.

Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors.

A highly valued resource for those who wish to move from the introductory and preliminary understandings and the measurement of chaotic behavior to a more sophisticated and precise understanding of chaotic systems.

Our motivation for gathering the material for this book over aperiod of seven years has been to unify and simplify ideas wh ich appeared in a sizable number of re- search articles during the past two decades.

This book emphasizes the interdisciplinary interaction in problems involving geometry and partial differential equations.

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This book is devoted to some results from the classical Point Set Theory and their applications to certain problems in mathematical analysis of the real line.

Collecting together the lecture notes of the CIME Summer School held in Cetraro in July 2018, the aim of the book is to introduce a vast range of techniques which are useful in the investigation of complex manifolds.

This book is written in a pedagogical style intelligible for graduate students.

The Unconscious as Space explores the experience of being and the practice of psychoanalysis by thinking of the unconscious in mathematical terms.

This is a book on topology and geometry and, like any books on subjects as vast as these, it has a point-of-view that guided the selection of topics.

The Set Theory and Applications meeting at York University, Ontario, featured both contributed talks and a series of invited lectures on topics central to set theory and to general topology.

Geometry and topology are strongly motivated by thevisualization of ideal objects that have certain specialcharacteristics.