Algebraic Topology and Its Applications

Author: Gunnar E. Carlsson
Publisher: Springer Science & Business Media
ISBN: 9781461395263
Release Date: 2012-12-06
Genre: Mathematics

In 1989-90 the Mathematical Sciences Research Institute conducted a program on Algebraic Topology and its Applications. The main areas of concentration were homotopy theory, K-theory, and applications to geometric topology, gauge theory, and moduli spaces. Workshops were conducted in these three areas. This volume consists of invited, expository articles on the topics studied during this program. They describe recent advances and point to possible new directions. They should prove to be useful references for researchers in Algebraic Topology and related fields, as well as to graduate students.

Introduction to Analysis on Graphs

Author: Alexander Grigor’yan
Publisher: American Mathematical Soc.
ISBN: 9781470443979
Release Date: 2018-08-23
Genre: Finite groups

A central object of this book is the discrete Laplace operator on finite and infinite graphs. The eigenvalues of the discrete Laplace operator have long been used in graph theory as a convenient tool for understanding the structure of complex graphs. They can also be used in order to estimate the rate of convergence to equilibrium of a random walk (Markov chain) on finite graphs. For infinite graphs, a study of the heat kernel allows to solve the type problem—a problem of deciding whether the random walk is recurrent or transient. This book starts with elementary properties of the eigenvalues on finite graphs, continues with their estimates and applications, and concludes with heat kernel estimates on infinite graphs and their application to the type problem. The book is suitable for beginners in the subject and accessible to undergraduate and graduate students with a background in linear algebra I and analysis I. It is based on a lecture course taught by the author and includes a wide variety of exercises. The book will help the reader to reach a level of understanding sufficient to start pursuing research in this exciting area.

Bibliographic Guide to Conference Publications

ISBN: UOM:39015055039005
Release Date: 1987
Genre: Congresses and conventions

Vols. for 1987- list publications cataloged by the Research Libraries of the New York Public Library and the Library of Congress.

Handbook of Global Analysis

Author: Demeter Krupka
Publisher: Elsevier
ISBN: 0080556736
Release Date: 2011-08-11
Genre: Mathematics

This is a comprehensive exposition of topics covered by the American Mathematical Society’s classification “Global Analysis , dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics. This book provides a comprehensive coverage of modern global analysis and geometrical mathematical physics, dealing with topics such as; structures on manifolds, pseudogroups, Lie groupoids, and global Finsler geometry; the topology of manifolds and differentiable mappings; differential equations (including ODEs, differential systems and distributions, and spectral theory); variational theory on manifolds, with applications to physics; function spaces on manifolds; jets, natural bundles and generalizations; and non-commutative geometry. - Comprehensive coverage of modern global analysis and geometrical mathematical physics - Written by world-experts in the field - Up-to-date contents

Einf hrung in die computerorientierte Mathematik mit Sage

Author: Thorsten Theobald
Publisher: Springer-Verlag
ISBN: 9783658104535
Release Date: 2015-10-19
Genre: Computers

Das an Studienanfänger der Mathematik gerichtete Lehrbuch bietet eine breit angelegte Einführung in verschiedene Facetten der computerorientierten Mathematik. Es ermöglicht eine frühzeitige und wertvolle Auseinandersetzung mit computerorientierten Methoden, Denkweisen und Arbeitstechniken innerhalb der Mathematik. Hierzu werden grundlegende mathematische Teilgebiete behandelt, die eine enge Beziehung zu computerorientierten Aspekten haben: Graphen, mathematische Algorithmen, Rekursionsgleichungen, computerorientierte lineare Algebra, Zahlen, Polynome und ihre Nullstellen. Anhand des mathematischen Kernstrangs werden Einblicke in die Modellierung, Analyse und algorithmische Aufbereitung fundamentaler mathematischer Sachverhalte gegeben. Eine Besonderheit des Buches ist die Verwendung des sich immer stärker in Forschung und Lehre verbreitenden, frei verfügbaren Software-Systems Sage. Das Buch eignet sich besonders gut zur Komplementierung der klassischen Grundvorlesungen in Analysis und linearer Algebra.

Vorstudien zur Topologie

Author: Johann Benedikt Listing
Publisher: Рипол Классик
ISBN: HARVARD:32044018845610
Release Date: 1848
Genre: History