Topology

Dieses Buch stellt eine umfassende und leicht lesbare Einführung in die Graphentheorie dar.

This book explores the topological properties of connected and path-connected solution sets for nonlinear equations in Banach spaces, focusing on the distinction between these concepts.

A phenomenon which appears in nature, or human behavior, can sometimes be explained by saying that a certain potential function is maximized, or minimized.

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We propose here a study of 'semiexact' and 'homological' categories as a basis for a generalised homological algebra.

This book provides a modern introduction to harmonic analysis and synthesis on topological groups.

This book collects select papers presented at the International Workshop and Conference on Topology & Applications, held in Kochi, India, from 9-11 December 2018.

This book is intended as a one-semester course in general topology, a.

Handbook of Convex Geometry, Volume A offers a survey of convex geometry and its many ramifications and relations with other areas of mathematics, including convexity, geometric inequalities, and convex sets.

Plastics, films, and synthetic fibers are among typical examples of polymer materials fabricated industrially in massive quantities as the basis of modern social life.

This third volume in Vladimir Tkachuk's series on Cp-theory problems applies all modern methods of Cp-theory to study compactness-like properties in function spaces and introduces the reader to the theory of compact spaces widely used in Functional Analysis.

University-level introduction that leads to topics of current research in the theory of harmonic maps.

A complete and definitive account of the authors'' resolution of the Kervaire invariant problem in stable homotopy theory.

This book introduces the field of topology, a branch of mathematics that explores the properties of geometric space, with a focus on low-dimensional systems.

This comprehensive book explores the intricate realm of fine potential theory.

Looking beyond the boundaries of various disciplines, the author demonstrates that symmetry is a fascinating phenomenon which provides endless stimulation and challenges.

Graph Theory is a branch of discrete mathematics.

This volume contains selected papers authored by speakers and participants of the 2013 Arbeitstagung, held at the Max Planck Institute for Mathematics in Bonn, Germany, from May 22-28.

Topology is a large subject with several branches, broadly categorized as algebraic topology, point-set topology, and geometric topology.

This volume contains a selection of papers presented at the 1991 Conrad Conference, held in Gainesville, Florida, USA, in December, 1991.

This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process.

This book provides a computational and algorithmic foundation for techniques in topological data analysis, with examples and exercises.

This book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the four fundamental interactions of Nature - gravitational, electromagnetic, strong nuclear, and weak nuclear.

This interdisciplinary volume collects contributions from experts in their respective fields with as common theme diagrams.

This work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insulators.

This book recounts the connections between multidimensional hypergeometric functions and representation theory.

The object of this book is a presentation of the major results relating to two geometrically inspired problems in analysis.

This is a book of marvelous pictures that illustrates standard examples in low dimensional topology.

This book provides an introduction to the beautiful and deep subject of filling Dehn surfaces in the study of topological 3-manifolds.

The first fully self-contained introduction to geometric algebra by two leading experts in the field.

Carl Friedrich Gauss, the "e;foremost of mathematicians,"e; was a land surveyor.

'Intended mainly for physicists and mathematicians.

This book provides a comprehensive survey of the Sharkovsky ordering, its different aspects and its role in dynamical systems theory and applications.

In this edition, a set of Supplementary Notes and Remarks has been added at the end, grouped according to chapter.

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

Translated from the popular French edition, the goal of the book is to provide a self-contained introduction to mean topological dimension, an invariant of dynamical systems introduced in 1999 by Misha Gromov.

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This book provides an informal and geodesic introduction to factorization homology, focusing on providing intuition through simple examples.

Explorations in Topology, Second Edition, provides students a rich experience with low-dimensional topology (map coloring, surfaces, and knots), enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that will help them make sense of future, more formal topology courses.

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The theories describing seemingly unrelated areas of physics have surprising analogies that have aroused the curiosity of scientists and motivated efforts to identify reasons for their existence.

Maintaining the standard of excellence set by the previous edition, this textbook covers the basic geometry of two- and three-dimensional spaces Written by a master expositor, leading researcher in the field, and MacArthur Fellow, it includes experiments to determine the true shape of the universe and contains illustrated examples and engaging exercises that teach mind-expanding ideas in an intuitive and informal way.

Daniel Quillen's definition of the higher algebraic K-groups of a ring emphasized the importance of computing the homology of groups of matrices.

Comprehensive survey of static topological solitons and their dynamical interactions, for graduates and researchers.