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{ "item_title" : "A Taste of Topology", "item_author" : [" Volker Runde "], "item_description" : "This should be a revelation for mathematics undergraduates. Having evolved from Runde's notes for an introductory topology course at the University of Alberta, this essential text provides a concise introduction to set-theoretic topology, as well as some algebraic topology. It is accessible to undergraduates from the second year on, and even beginning graduate students can benefit from some sections. The well-chosen selection of examples is accessible to students who have a background in calculus and elementary algebra, but not necessarily in real or complex analysis. In places, Runde's text treats its material differently to other books on the subject, providing a fresh perspective. For example, Baire's theorem is derived from Bourbaki's Mittag-Leffler theorem; nets are used extensively, in particular for an intuitive proof of Tychonoff's theorem; and a short and elegant, but little known proof for the Stone-Weierstrass theorem is given.", "item_img_path" : "https://covers4.booksamillion.com/covers/bam/0/38/725/790/038725790X_b.jpg", "price_data" : { "retail_price" : "69.99", "online_price" : "69.99", "our_price" : "69.99", "club_price" : "69.99", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }
A Taste of Topology|Volker Runde

A Taste of Topology

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Overview

This should be a revelation for mathematics undergraduates. Having evolved from Runde's notes for an introductory topology course at the University of Alberta, this essential text provides a concise introduction to set-theoretic topology, as well as some algebraic topology. It is accessible to undergraduates from the second year on, and even beginning graduate students can benefit from some sections. The well-chosen selection of examples is accessible to students who have a background in calculus and elementary algebra, but not necessarily in real or complex analysis. In places, Runde's text treats its material differently to other books on the subject, providing a fresh perspective. For example, Baire's theorem is derived from Bourbaki's Mittag-Leffler theorem; nets are used extensively, in particular for an intuitive proof of Tychonoff's theorem; and a short and elegant, but little known proof for the Stone-Weierstrass theorem is given.

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Details

  • ISBN-13: 9780387257907
  • ISBN-10: 038725790X
  • Publisher: Springer
  • Publish Date: July 2005
  • Dimensions: 9.28 x 6.1 x 0.37 inches
  • Shipping Weight: 0.6 pounds
  • Page Count: 177

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