Topology

A complete, self-contained introduction to a powerful and resurging mathematical discipline Combinatorial Geometry presents and explains with complete proofs some of the most important results and methods of this relatively young mathematical discipline, started by Minkowski, Fejes T th, Rogers, and Erd's.

This self-contained text is an excellent introduction to Lie groups and their actions on manifolds.

This book is primarily concerned with the study of cohomology theories of general topological spaces with "e;general coefficient systems.

Lorentz Geometry is a very important intersection between Mathematics and Physics, being the mathematical language of General Relativity.

For many years, algebraic topology rests on three legs: "e;ordinary"e; cohomology, K-theory, and cobordism.

This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research.

This book seeks to construct a consistent fundamental quantum theory of gravity, which is often considered one of the most challenging open problems in present-day physics.

This book examines in detail approximate fixed point theory in different classes of topological spaces for general classes of maps.

Central concepts most useful for computation; for undergraduate/graduate students in mathematics, researchers in applications.

Due to the lack of proper bibliographical sources stratification theory seems to be a "e;mysterious"e; subject in contemporary mathematics.

The first comprehensive introduction to the role of Property (T), with applications to an amazing number of fields within mathematics.

Certain noises, many aspects of turbulence, and almost all aspects of finance exhibit a level of temporal and spatial variability whose "e;wildness"e; impressed itself vividly upon the author, Benoit Mandelbrot, in the early 1960's.

Maxwell''s equations have led to many important mathematical discoveries.

INTRODUCTION .

This textbook offers a concise introduction to symplectic and contact geometry, with a focus on the relationships between these subjects and other topics such as Lie theory and classical mechanics.

The book offers a comprehensive introduction to Leavitt path algebras (LPAs) and graph C*-algebras.

An introductory treatment to the homotopy theory of homotopical categories, presenting several models and comparisons between them.

These notes present a theorem on infinite matrices with values in a topological group due to P Antosik and J Mikusinski.

This book is devoted to geometric problems of foliation theory, in particular those related to extrinsic geometry, modern branch of Riemannian Geometry.

This book gives a self-contained fundamental study of the subject.

Shows novel and modern ways of solving differential equations using methods from contact and symplectic geometry.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

This book presents material in two parts.

The real, rational, complex and p-adic numbers are discussed in detail in this comprehensive work.

This collection of peer-reviewed workshop papers provides comprehensive coverage of cutting-edge research into topological approaches to data analysis and visualization.

The Geometric Theory of Foliations is one of the fields in Mathematics that gathers several distinct domains: Topology, Dynamical Systems, Differential Topology and Geometry, among others.

Here is a book that will be a joy to the mathematician or graduate student of mathematics or even the well-prepared undergraduate who would like, with a minimum of background and preparation, to understand some of the beautiful results at the heart of nonlinear analysis.

The purpose of this book is to provide core material in nonlinear analysis for mathematicians, physicists, engineers, and mathematical biologists.

Topology, for many years, has been one of the most exciting and influential fields of research in modern mathematics.

First published in German in 1970 and translated into Russian in 1973, this classic now becomes available in English.

Algebraic K-theory is a modern branch of algebra which has many important applications in fundamental areas of mathematics connected with algebra, topology, algebraic geometry, functional analysis and algebraic number theory.

The first of three volumes on partial differential equations, this one introduces basic examples arising in continuum mechanics, electromagnetism, complex analysis and other areas, and develops a number of tools for their solution, in particular Fourier analysis, distribution theory, and Sobolev spaces.

This Seminar began in Moscow in November 1943 and has continued without interruption up to the present.

The second part of a two-volume set offering a systematic explanation of symplectic topology.

A comprehensive introduction to the mathematical description of strings, D-branes and the geometry of strongly curved spacetime.

This IMA Volume in Mathematics and its Applications FRACTALS IN MULTIMEDIA is a result of a very successful three-day minisymposium on the same title.

The first part of this book is a text for graduate courses in topology.

Over the past six decades, several extremely important fields in mathematics have been developed.

Differential Geometry and Its Visualization is suitable for graduate level courses in differential geometry, serving both students and teachers.

An extension of a topological space X is a space that contains X as a dense subspace.

This monograph presents developments in the abstract theory of topological dynamics, concentrating on the internal structure of minimal flows (actions of groups on compact Hausdorff spaces for which every orbit is dense) and their homomorphisms (continuous equivariant maps).

This book discusses major theories and applications of fuzzy soft multisets and their generalization which help researchers get all the related information at one place.

The NATO Advanced Study Institute "e;Axiomatic, enriched and rna- tivic homotopy theory"e; took place at the Isaac Newton Institute of Mathematical Sciences, Cambridge, England during 9-20 September 2002.

This volume is a collection of surveys of research problems in topology and its applications.

This monograph presents an approachable proof of Mirzakhani's curve counting theorem, both for simple and non-simple curves.