Introduction to topology

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Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. Originally conceived as a text for a one-semester course, it is directed to undergraduate students whose studies of calculus sequence have included definitions and proofs of theorems. The book's principal aim is to provide a simple, thorough survey of elementary topics in the study of collections of objects, or sets, that possess a mathematical structure. The author begins with an informal discussion of set theory in Chapter 1, reserving coverage of countability for Chapter 5, where it appears in the context of compactness. In the second chapter Professor Mendelson discusses metric spaces, paying particular attention to various distance functions which may be defined on Euclidean n-space and which lead to the ordinary topology. Chapter 3 takes up the concept of topological space, presenting it as a generalization of the concept of a metric space. Chapters 4 and 5 are devoted to a discussion of the two most important topological properties: connectedness and compactness. Throughout the text, Dr. Mendelson, a former Professor of Mathematics at Smith College, has included many challenging and stimulating exercises to help students develop a solid grasp of the material presented.

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Introduction to Topology

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Op voorraad. Voor 23:59 uur besteld, morgen in huis .. MEER INFO

Introduction to Topology

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Verwacht over 4 weken .. MEER INFO

Introduction to Topology

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One of the most important milestones in mathematics in the twentieth century was the development of topology as an independent field of study and the subsequent systematic application of topological ideas to other fields of mathematics while there are many other works on introductory topology this Verwacht over 4 weken .. MEER INFO

Taal: en

Uitvoering: Paperback

Oorspronkelijke releasedatum: 28 maart 2003

Aantal pagina's: 224

Illustraties: Nee

Hoofdauteur: Bert Mendelson

Tweede Auteur: Mathematics

Hoofduitgeverij: DOVE

Fabrikantgegevens: De informatie van de fabrikant is momenteel niet beschikbaar.

Editie: 3

Extra groot lettertype: Nee

Product breedte: 140 mm

Product hoogte: 13 mm

Product lengte: 222 mm

Studieboek: Ja

Verpakking breedte: 141 mm

Verpakking hoogte: 15 mm

Verpakking lengte: 216 mm

Verpakkingsgewicht: 270 g

EAN: 9780486663524

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