Topology

Algebraandtopology,thetwofundamentaldomainsofmathematics,playcomplem- tary roles.

A Course on Borel sets provides a thorough introduction to Borel sets and measurable selections and acts as a stepping stone to descriptive set theory by presenting important techniques such as universal sets, prewellordering, scales, etc.

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

This volume provides a broad and uniform introduction of PDE-constrained optimization as well as to document a number of interesting and challenging applications.

This book is an outcome of two Conferences on Ulam Type Stability (CUTS) organized in 2016 (July 4-9, Cluj-Napoca, Romania) and in 2018 (October 8-13, 2018, Timisoara, Romania).

This book explores and demonstrates how geometric tools can be used in data analysis.

A large mathematical community throughout the world actively works in functional analysis and uses profound techniques from topology.

This book provides an introduction to deformation quantization and its relation to quantum field theory, with a focus on the constructions of Kontsevich and Cattaneo & Felder.

This book contains the most recent progress in data assimilation in meteorology, oceanography and hydrology including land surface.

The emergence of topological quantum ?

This new edition describes the space of quantum states and the theory of quantum entanglement from a geometric perspective.

This work covers quantum mechanics by answering questions such as where did the Planck constant and Heisenberg algebra come from, what motivated Feynman to introduce his path integral and why does one distinguish two types of particles, the bosons and fermions.

This comprehensive guide addresses key challenges at the intersection of data science, graph learning, and privacy preservation.

The purpose of this volume is to give an up-to-date introduction to tensor valuations and their applications.

Essentially a self-contained text giving an introduction to topological dynamics and ergodic theory.

These original research papers, written during a period of over a quarter of a century, have two main objectives.

Reissued articles from two classic sources on hyperbolic manifolds with new sections describing recent work.

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

The aim of this volume is to offer a set of high quality contributions on recent advances in Differential Geometry and Topology, with some emphasis on their application in physics.

A comprehensive, self-contained treatment presenting general results of the theory.

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

This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori's abelian category of mixed motives.

This 4-th edition of the leading reference volume on distance metrics is characterized by updated and rewritten sections on some items suggested by experts and readers, as well a general streamlining of content and the addition of essential new topics.

The articles in this volume study various cohomological aspects of algebraic varieties:- characteristic classes of singular varieties;- geometry of flag varieties;- cohomological computations for homogeneous spaces;- K-theory of algebraic varieties;- quantum cohomology and Gromov-Witten theory.

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

This book provides an introduction to topology, differential topology, and differential geometry.

This second volume of Research in Computational Topology is a celebration and promotion of research by women in applied and computational topology, containing the proceedings of the second workshop for Women in Computational Topology (WinCompTop) as well as papers solicited from the broader WinCompTop community.

The first edition of this monograph appeared in 1978.

This book presents contributions on topics ranging from novel applications of topological analysis for particular problems, through studies of the effectiveness of modern topological methods, algorithmic improvements on existing methods, and parallel computation of topological structures, all the way to mathematical topologies not previously applied to data analysis.

This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics.

Ideal for graduate students and researchers working in group theory and Lie rings.

This book examines an abstract mathematical theory, placing special emphasis on results applicable to formal logic.

In this book, two seemingly unrelated fields -- algebraic topology and robust control -- are brought together.

This book consists of a selection of articles devoted to new ideas and developments in low dimensional topology.

Unlike other analytic techniques, the Homotopy Analysis Method (HAM) is independent of small/large physical parameters.

The contributions making up this volume are expanded versions of the courses given at the C.

The Hauptvermutung is the conjecture that any two triangulations of a poly- hedron are combinatorially equivalent.

This book provides readers with an engaging explanation of the Aleksandrov problem, giving readers an overview of the process of solving Aleksandrov-Rassias problems, which are still actively studied by many mathematicians, and familiarizing readers with the details of the proof process.

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

This book provides the first extensive and systematic treatment of the theory of commutative coherent rings.

This proceedings is based on the interdisciplinary workshop held in Madrid, 5-9 March 2018, dedicated to Alberto Ibort on his 60th birthday.

This book is dedicated to the theory of continuous selections of multi- valued mappings, a classical area of mathematics (as far as the formulation of its fundamental problems and methods of solutions are concerned) as well as !

Introduction to Set Theory and Topology describes the fundamental concepts of set theory and topology as well as its applicability to analysis, geometry, and other branches of mathematics, including algebra and probability theory.

The volume consists of a set of surveys on geometry in the broad sense.