{"product_id":"set-theory-and-metric-spaces-9781470463847","title":"Set Theory and Metric Spaces","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTrade Review\u003c\/b\u003e\u003cbr\u003eThis 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.- \u003ci\u003eCanadian Mathematical Bulletin\u003c\/i\u003e;\u003cbr\u003e\u003cbr\u003e\"\"Kaplansky has a well-deserved reputation for his expository talents. The selection of topics is excellent.\"\"- Lance Small, UC San Diego\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eCover\u003c\/li\u003e\n\u003cli\u003eTitle Page\u003c\/li\u003e\n\u003cli\u003eCopyright Page\u003c\/li\u003e\n\u003cli\u003eContents\u003c\/li\u003e\n\u003cli\u003ePreface\u003c\/li\u003e\n\u003cli\u003e1. Basic Set Theory\u003c\/li\u003e\n\u003cli\u003e2. Cardinal Numbers\u003c\/li\u003e\n\u003cli\u003e3. Well Ordering; The Axiom of Choice\u003c\/li\u003e\n\u003cli\u003e4. Basic Properties of Metric Spaces\u003c\/li\u003e\n\u003cli\u003e5. Completeness, Separability, and Compactness\u003c\/li\u003e\n\u003cli\u003e6. Additional Topics\u003c\/li\u003e\n\u003cli\u003eAppendixes\u003c\/li\u003e\n\u003cli\u003e1. Examples of Metric Spaces\u003c\/li\u003e\n\u003cli\u003e2. Set Theory and Algebra\u003c\/li\u003e\n\u003cli\u003e3. The Transition to Topological Spaces\u003c\/li\u003e\n\u003cli\u003eSelected Bibliography\u003c\/li\u003e\n\u003cli\u003eIndex\u003c\/li\u003e\n\u003cli\u003eBack Cover\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"MP-AMM American Mathematical","offers":[{"title":"Default Title","offer_id":51456077037911,"sku":"9781470463847","price":54.9,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781470463847.jpg?v=1755033703","url":"https:\/\/bookcurl.com\/products\/set-theory-and-metric-spaces-9781470463847","provider":"Book Curl","version":"1.0","type":"link"}