Author: Mikhail TkacenkoPublisher:
ISBN:
Category :
Languages : en
Pages : 73
Book Description
Lecture Notes for a Minicourse on Topological Groups at the 13th Summer Conference on General Topology and Its Applications
Author: Mikhail TkacenkoLecture Notes for a Minicourse on Topological Groups
Author: Mikhail TkačenkoPublisher:
ISBN:
Category : Topology
Languages : en
Pages : 251
Book Description
Lecture Notes for a Minicourse on Topological Groups
Author: Mikhail TkačenkoContains Lecture Notes for a Minicourse on Topological Groups by Mikhail Tkacenko at the 13th Summer Conference on General Topology and Its Applications
Author: Mikhail TkacenkoA Course on Topological Groups
Author: K. ChandrasekharanPublisher: Springer
ISBN: 9380250894
Category : Mathematics
Languages : en
Pages : 128
Book Description
Topological Groups
Author: Taqdir HusainPublisher:
ISBN:
Category : Continuous groups
Languages : en
Pages : 200
Book Description
Handbook of Homotopy Theory
Author: Haynes MillerPublisher: CRC Press
ISBN: 1351251619
Category : Mathematics
Languages : en
Pages : 982
Book Description
The Handbook of Homotopy Theory provides a panoramic view of an active area in mathematics that is currently seeing dramatic solutions to long-standing open problems, and is proving itself of increasing importance across many other mathematical disciplines. The origins of the subject date back to work of Henri Poincaré and Heinz Hopf in the early 20th century, but it has seen enormous progress in the 21st century. A highlight of this volume is an introduction to and diverse applications of the newly established foundational theory of ¥ -categories. The coverage is vast, ranging from axiomatic to applied, from foundational to computational, and includes surveys of applications both geometric and algebraic. The contributors are among the most active and creative researchers in the field. The 22 chapters by 31 contributors are designed to address novices, as well as established mathematicians, interested in learning the state of the art in this field, whose methods are of increasing importance in many other areas.
Lectures on Topological Fluid Mechanics
Author: Mitchell A. BergerPublisher: Springer
ISBN: 3642008372
Category : Science
Languages : en
Pages : 240
Book Description
Helmholtz's seminal paper on vortex motion (1858) marks the beginning of what is now called topological fluid mechanics.After 150 years of work, the field has grown considerably. In the last several decades unexpected developments have given topological fluid mechanics new impetus, benefiting from the impressive progress in knot theory and geometric topology on the one hand, and in mathematical and computational fluid dynamics on the other. This volume contains a wide-ranging collection of up-to-date, valuable research papers written by some of the most eminent experts in the field. Topics range from fundamental aspects of mathematical fluid mechanics, including topological vortex dynamics and magnetohydrodynamics, integrability issues, Hamiltonian structures and singularity formation, to DNA tangles and knotted DNAs in sedimentation. A substantial introductory chapter on knots and links, covering elements of modern braid theory and knot polynomials, as well as more advanced topics in knot classification, provides an invaluable addition to this material.
Lecture Notes On General Topology
Author: Guoliang WangPublisher: World Scientific
ISBN: 9811227438
Category : Mathematics
Languages : en
Pages : 153
Book Description
This book is intended as a one-semester course in general topology, a.k.a. point-set topology, for undergraduate students as well as first-year graduate students. Such a course is considered a prerequisite for further studying analysis, geometry, manifolds, and certainly, for a career of mathematical research. Researchers may find it helpful especially from the comprehensive indices.General topology resembles a language in modern mathematics. Because of this, the book is with a concentration on basic concepts in general topology, and the presentation is of a brief style, both concise and precise. Though it is hard to determine exactly which concepts therein are basic and which are not, the author makes efforts in the selection according to personal experience on the occurrence frequency of notions in advanced mathematics, and to related books that have received admirable reviews.This book also contains exercises for each chapter with selected solutions. Interrelationships among concepts are taken into account frequently. Twelve particular topological spaces are repeatedly exploited, which serve as examples to learn new concepts based on old ones.
Introduction to topological groups
Author: Philip J. HigginsPublisher:
ISBN:
Category : Topological groups
Languages : en
Pages : 109
Book Description