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A First Course in Topology: An Introduction to Mathematical Thinking (Dover Books on Mathematics) - Softcover
Synopsis
Students must prove all of the theorems in this undergraduate-level text, which features extensive outlines to assist in study and comprehension. Thorough and well-written, the treatment provides sufficient material for a one-year undergraduate course. The logical presentation anticipates students' questions, and complete definitions and expositions of topics relate new concepts to previously discussed subjects.
Most of the material focuses on point-set topology with the exception of the last chapter. Topics include sets and functions, infinite sets and transfinite numbers, topological spaces and basic concepts, product spaces, connectivity, and compactness. Additional subjects include separation axioms, complete spaces, and homotopy and the fundamental group. Numerous hints and figures illuminate the text.
Reprint of The Williams & Wilkins Company, Baltimore, 1975 edition.
"synopsis" may belong to another edition of this title.
About the Author
Robert A. Conover received his MS in mathematics from Rutgers University and his PhD from the University of Rochester. He taught at Trinity College from 1966 to 1968 and at Loyola University from 1971 to 1973.
From the Back Cover
Students must prove all of the theorems in this undergraduate-level text, which features extensive outlines to assist in study and comprehension. Thorough and well-written, the treatment provides sufficient material for a one-year undergraduate course. The logical presentation anticipates students' questions, and complete definitions and expositions of topics relate new concepts to previously discussed subjects.
Most of the material focuses on point-set topology with the exception of the last chapter. Topics include sets and functions, infinite sets and transfinite numbers, topological spaces and basic concepts, product spaces, connectivity, and compactness. Additional subjects include separation axioms, complete spaces, and homotopy and the fundamental group. Numerous hints and figures illuminate the text.
Dover (2014) republication of the edition originally published by The Williams & Wilkins Company, Baltimore, 1975.
See every Dover book in print at
www.doverpublications.com
"About this title" may belong to another edition of this title.
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