Sale!

A First Course in Topology 1st Edition by John Mccleary ISBN 0821838849 9780821838846

Original price was: $50.00.Current price is: $35.00.

A First Course in Topology John Mccleary Digital Instant Download

Author(s): John McCleary
ISBN(s): 9780821838846, 0821838849
Edition: Kindle
File Details: PDF, 5.22 MB
Year: 2006
Language: english
SKU: EB-1983062 Category: Tag:

A First Course in Topology 1st Edition by John Mccleary – Ebook PDF Instant Download/Delivery: 0821838849, 9780821838846

Full download A First Course in Topology 1st Edition after payment

 

Product details:

ISBN 10: 0821838849

ISBN 13: 9780821838846 

Author: John Mccleary 

How many dimensions does our universe require for a comprehensive physical description? In 1905, Poincare argued philosophically about the necessity of the three familiar dimensions, while recent research is based on 11 dimensions or even 23 dimensions. The notion of dimension itself presented a basic problem to the pioneers of topology. Cantor asked if dimension was a topological feature of Euclidean space. To answer this question, some important topological ideas were introduced by Brouwer, giving shape to a subject whose development dominated the twentieth century. The basic notions in topology are varied and a comprehensive grounding in point-set topology, the definition and use of the fundamental group, and the beginnings of homology theory requires considerable time.The goal of this book is a focused introduction through these classical topics, aiming throughout at the classical result of the Invariance of Dimension. This text is based on the author’s course given at Vassar College and is intended for advanced undergraduate students. It is suitable for a semester-long course on topology for students who have studied real analysis and linear algebra. It is also a good choice for a capstone course, senior seminar, or independent study.

Table of contents:

  1. A Little Set Theory

  2. Metric and Topological Spaces

  3. Geometric Notions

  4. Building New Spaces

  5. Connectedness

  6. Compactness

  7. Homotopy and the Fundamental Group

  8. Computations and Covering Spaces

  9. The Jordan Curve Theorem

  10. Simplicial Complexes

  11. Homology

  12. Bibliography

People also search for:

a first course in topology
    
a first course in topology continuity and dimension pdf
    
a first course in topology an introduction to mathematical thinking
    
a first course in topology pdf
    
a first course in topology john mccleary

Tags: John Mccleary, First Course, Topology