Set Theory and Metric Spaces PDF
By:Irving Kaplansky
Published on 2001 by American Mathematical Soc.
This is a book that could profitably be read by many graduate students or by seniors in strong major programs ... has a number of good features. There are many informal comments scattered between the formal development of theorems and these are done in a light and pleasant style. ... There is a complete proof of the equivalence of the axiom of choice, Zorn's Lemma, and well-ordering, as well as a discussion of the use of these concepts. There is also an interesting discussion of the continuum problem ... The presentation of metric spaces before topological spaces ... should be welcomed by most students, since metric spaces are much closer to the ideas of Euclidean spaces with which they are already familiar. --Canadian Mathematical Bulletin Kaplansky has a well-deserved reputation for his expository talents. The selection of topics is excellent. -- Lance Small, UC San Diego This book is based on notes from a course on set theory and metric spaces taught by Edwin Spanier, and also incorporates with his permission numerous exercises from those notes. The volume includes an Appendix that helps bridge the gap between metric and topological spaces, a Selected Bibliography, and an Index.
This Book was ranked at 24 by Google Books for keyword mathematics about sets.
Book ID of Set Theory and Metric Spaces's Books is FbKhAQAAQBAJ, Book which was written byIrving Kaplanskyhave ETAG "ibdTi0b9MZI"
Book which was published by American Mathematical Soc. since 2001 have ISBNs, ISBN 13 Code is 9780821826942 and ISBN 10 Code is 0821826948
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