Download E-books Metric Spaces (Cambridge Tracts in Mathematics) PDF

By E. T. Copson

Metric area topology, because the generalization to summary areas of the idea of units of issues on a line or in a airplane, unifies many branches of classical research and is important creation to sensible research. Professor Copson's ebook, that's according to lectures given to third-year undergraduates on the college of St Andrews, presents a extra leisurely therapy of metric areas than is located in books on sensible research, that are frequently written at graduate scholar point. His presentation is geared toward the purposes of the idea to classical algebra and research; specifically, the bankruptcy on contraction mappings indicates the way it offers evidence of a few of the lifestyles theorems in classical research.

Show description

Read Online or Download Metric Spaces (Cambridge Tracts in Mathematics) PDF

Similar Abstract books

Basic Real and Abstract Analysis

This 1968 version covers the subsequent subject matters: Orientation; units and areas; sequences and sequence; degree and integration; degree concept; continuity; derivatives; and stieltjes integrals.

Braid Groups (Graduate Texts in Mathematics)

During this well-written presentation, stimulated by way of a number of examples and difficulties, the authors introduce the elemental conception of braid teams, highlighting a number of definitions that exhibit their equivalence; this is often by way of a remedy of the connection among braids, knots and hyperlinks. very important effects then deal with the linearity and orderability of the topic.

Algebra V: Homological Algebra (Encyclopaedia of Mathematical Sciences)

This quantity of the Encyclopaedia provides a contemporary method of homological algebra, that is in keeping with the systematic use of the terminology and ideas of derived different types and derived functors. The e-book includes functions of homological algebra to the idea of sheaves on topological areas, to Hodge conception, and to the speculation of sheaves on topological areas, to Hodge thought, and to the idea of modules over earrings of algebraic differential operators (algebraic D-modules).

Class Field Theory (Universitext)

This booklet presents an available creation to type box concept. It takes a standard process, yet in a way that is purifier and extra streamlined than so much different books in this subject. The e-book has been class-tested, and the writer has incorporated workouts.

Extra info for Metric Spaces (Cambridge Tracts in Mathematics)

Show sample text content

Rated 4.06 of 5 – based on 46 votes