Topology, 2/e (IE-Paperback)
暫譯: 拓撲學，第二版 (IE-平裝本)

James R. Munkres

Topology, 2/e (IE-Paperback)
  • 出版商: Pearson FT Press
  • 出版日期: 2014-01-01
  • 售價: $1,340
  • 貴賓價: 9.8 折 $1,313
  • 語言: 英文
  • 頁數: 503
  • ISBN: 1292023627
  • ISBN-13: 9781292023625

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商品描述

This text is designed to provide instructors with a convenient single text resource for bridging between general and algebraic topology courses. Two separate, distinct sections (one on general, point set topology, the other on algebraic topology) are each suitable for a one-semester course and are based around the same set of basic, core topics. Optional, independent topics and applications can be studied and developed in depth depending on course needs and preferences.

商品描述(中文翻譯)

這段文字旨在為教師提供一個方便的單一文本資源，以便在一般拓撲學和代數拓撲學課程之間架起橋樑。這裡有兩個獨立的部分（一般點集拓撲學和代數拓撲學），每個部分都適合一學期的課程，並圍繞相同的一組基本核心主題。根據課程需求和偏好，可以深入研究和發展可選的獨立主題和應用。

目錄大綱

Ch 1 Set Theory and Logic
Ch 2 Topological Spaces and Continuous Functions
Ch 3 Connectedness and Compactness
Ch 4 Countability and Separation Axioms
Ch 5 The Tychonoff Theorem
Ch 6 Metrization Theoremss and Paracompactness
Ch 7 Complete Metric Spaces and Function Spaces
Ch 8 Baire Spaces and Dimension Theory
Ch 9 The Fundamental Group
Ch10 Separation Theorems in the Plane
Ch11 The Seifert-van Kampen Theorem
Ch12 Classification of Surfaces
Ch13 Classification of Covering Spaces

目錄大綱(中文翻譯)

Ch 1 Set Theory and Logic

Ch 2 Topological Spaces and Continuous Functions

Ch 3 Connectedness and Compactness

Ch 4 Countability and Separation Axioms

Ch 5 The Tychonoff Theorem

Ch 6 Metrization Theoremss and Paracompactness

Ch 7 Complete Metric Spaces and Function Spaces

Ch 8 Baire Spaces and Dimension Theory

Ch 9 The Fundamental Group

Ch10 Separation Theorems in the Plane

Ch11 The Seifert-van Kampen Theorem

Ch12 Classification of Surfaces

Ch13 Classification of Covering Spaces

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