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 volume employs a methodology somewhat different from other texts. Metric space and point-set topology material is treated in the first two chapters; algebraic topological material in the remaining two. The authors lead readers through a number of nontrivial applications of metric space topology to analysis, clearly establishing the relevance of topology to analysis. Second, the treatment of topics from elementary algebraic topology concentrates on results with concrete geometric meaning and presents relatively little algebraic formalism; at the same time, this treatment provides proof of some highly nontrivial results. By presenting homotopy theory without considering homology theory, important applications become immediately evident without the necessity of a large formal program. Prerequisites are familiarity with real numbers and some basic set theory. Carefully chosen exercises are integrated into the text (the authors have provided solutions to selected exercises for the Dover edition), while a list of notations and bibliographical references appear at the end of the book.
What was Kate Connelly a tall, glamorous CPA doing in her family s antique furniture museum when it exploded into flames in the middle of the night? Why was Gus, a disgruntled retired employee, with her? Now Gus is dead, and Kate lies in a coma, unable to explain the tragedy s mysterious link to a decades-old missing persons case. Nor to warn her sister what could happen next. It s been over half a year, now, since the brutal murder of Archbishop William de Laurent during his pilgrimage to the Galicien city of Davillon. During that time, the Church of the Hallowed Pact has assigned a new bishop to the city but it has also made its displeasure at the death of its clergyman quite clear. Davillon s economy has suffered beneath the weight of the Church s displeasure. Much of the populace angry at the clergy has turned away from Introduction to Topology download PDF the Church hierarchy, choosing private worship or small, independent shrines. And the bishop, concerned for his new position and angry at the people of Davillon, plans to do something about it.
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Author: T. W. Gamelin,Robert E. Greene
Number of Pages: 256 pages
Published Date: 16 Feb 1999
Publisher: Dover Publications Inc.
Publication Country: New York, United States
Language: English
ISBN: 9780486406800
Download Link: Click Here
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