Author: Maxwell H. NewmanPublisher:
ISBN:
Category : Set theory
Languages : en
Pages : 0
Book Description
Elements of the topology of plane sets of points
Author: Maxwell H. NewmanPublisher:
ISBN:
Category : Set theory
Languages : en
Pages : 0
Book Description
Elements of the Topology of Plane Sets of Points
Author: Maxwell Herman Alexander NewmanPublisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
Elements of the Topology of Plane Sets of Points
Author: Maxwell Herman Alexander Newman (mathématicien).)Publisher: CUP Archive
ISBN:
Category :
Languages : en
Pages : 244
Book Description
Elements of the topology of plane sets of points
Author: M. H. A. NewmanPublisher:
ISBN:
Category : Set theory
Languages : en
Pages : 214
Book Description
Elements of the Topology of Plane Sets of Points
Author: Elements of Point Set Topology
Author: John D. BaumPublisher: Courier Corporation
ISBN: 0486668266
Category : Mathematics
Languages : en
Pages : 164
Book Description
Topology continues to be a topic of prime importance in contemporary mathematics, but until the publication of this book there were few if any introductions to topology for undergraduates. This book remedied that need by offering a carefully thought-out, graduated approach to point set topology at the undergraduate level. To make the book as accessible as possible, the author approaches topology from a geometric and axiomatic standpoint; geometric, because most students come to the subject with a good deal of geometry behind them, enabling them to use their geometric intuition; axiomatic, because it parallels the student's experience with modern algebra, and keeps the book in harmony with current trends in mathematics. After a discussion of such preliminary topics as the algebra of sets, Euler-Venn diagrams and infinite sets, the author takes up basic definitions and theorems regarding topological spaces (Chapter 1). The second chapter deals with continuous functions (mappings) and homeomorphisms, followed by two chapters on special types of topological spaces (varieties of compactness and varieties of connectedness). Chapter 5 covers metric spaces. Since basic point set topology serves as a foundation not only for functional analysis but also for more advanced work in point set topology and algebraic topology, the author has included topics aimed at students with interests other than analysis. Moreover, Dr. Baum has supplied quite detailed proofs in the beginning to help students approaching this type of axiomatic mathematics for the first time. Similarly, in the first part of the book problems are elementary, but they become progressively more difficult toward the end of the book. References have been supplied to suggest further reading to the interested student.
Elements of the Topology of Plane Sets of Points
Author: Maxwell Herman Alexander NewmanPublisher: Praeger
ISBN: 0313249563
Category : Mathematics
Languages : en
Pages : 0
Book Description
This book provides an elementary introduction to the ideas and methods of topology by the detailed study of certain topics. There are elegant but rigorous proofs of many of the basic theorems, and special attention is given to the results needed in the theory of functions.
Elements of the Topolgy of Plane Sets of Points
Author: The Collected Papers of R.h. Bing
Author: R. H. BingPublisher: American Mathematical Soc.
ISBN: 9780821810477
Category : Mathematics
Languages : en
Pages : 1702
Book Description
A powerful mathematician and a great problem solver, R. H. Bing laid the foundation for a number of areas of topology. Many of his papers have continued to serve as a source of major theoretical developments and concrete applications in recent years. One outstanding example was Michael H. Freedman's use of Bing's Shrinking Criterion to solve the four-dimensional Poincaré Conjecture. This two-volume set brings together over one hundred of Bing's research, expository, andmiscellaneous papers. These works range over a great variety of topics in topology, including the topology of manifolds, decomposition spaces, continua, metrization, general topology, and geometric topology. In addition, there are a number of papers in the areas of convex functions, linearity, and conformalvarieties. The introductory section in the first volume provides historical background on Bing's life and achievements. This collection will appeal to mathematicians in all areas, and especially those in topology, as well as students, historians, and educators in the mathematical sciences, for it provides a complete historical summary of the mathematical events in the life of the man and the mathematician, R. H. Bing.
Encyclopedic Dictionary of Mathematics
Author: Nihon SūgakkaiPublisher: MIT Press
ISBN: 9780262590204
Category : Mathematics
Languages : en
Pages : 1180
Book Description
V.1. A.N. v.2. O.Z. Apendices and indexes.