عنوان

A first course in topology :

شابک

0821838849

شابک

9780821838846

شماره

b750727

عنوان اصلي

A first course in topology :

نام عام مواد

[Book]

ساير اطلاعات عنواني

continuity and dimension /

نام نخستين پديدآور

John McCleary.

محل نشرو پخش و غیره

Providence, RI :

نام ناشر، پخش کننده و غيره

American Mathematical Society,

تاریخ نشرو بخش و غیره

©2006.

نام خاص و کميت اثر

xii, 211 pages :

ساير جزييات

illustrations ;

ابعاد

22 cm.

عنوان فروست

Student mathematical library,

مشخصه جلد

v. 31

شاپا ي ISSN فروست

1520-9121 ;

متن يادداشت

Includes bibliographical references (pages 201-205) and index.

متن يادداشت

"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."--Publisher's website.

موضوع مستند نشده

Topology, Textbooks.

موضوع مستند نشده

Topologie

موضوع مستند نشده

Topology, Textbooks.

موضوع مستند نشده

Topology.

شماره

ويراست

شماره رده

نشانه اثر

شماره رده

شماره رده

کد سيستم

کد سيستم

مستند نام اشخاص تاييد نشده

McCleary, John,1952-

تاريخ عمليات

20201204102709.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y