This book provides an account of those parts of contemporary set theory of direct relevance to other areas of pure mathematics. The intended reader is either an advanced-level mathematics undergraduate, a beginning graduate student in mathematics, or an accomplished mathematician who desires or needs some familiarity with modern set theory. The book is written in a fairly easy-going style, with minimal formalism. In Chapter 1, the basic principles of set theory are developed in a 'naive' manner. Here the notions of 'set', 'union', 'intersection', 'power set', 'rela tion', 'function', etc., are defined and discussed. One assumption in writing Chapter 1 has been that, whereas the reader may have met all of these 1 concepts before and be familiar with their usage, she may not have con sidered the various notions as forming part of the continuous development of a pure subject (namely, set theory). Consequently, the presentation is at the same time rigorous and fast.
"synopsis" may belong to another edition of this title.
FREE shipping within U.S.A.
Destination, rates & speedsSeller: World of Books (was SecondSale), Montgomery, IL, U.S.A.
Condition: Good. Item in good condition and has highlighting/writing on text. Used texts may not contain supplemental items such as CDs, info-trac etc. Seller Inventory # 00090450433
Quantity: 1 available
Seller: My Dead Aunt's Books, Hyattsville, MD, U.S.A.
hardcover. Condition: As New. 2nd. Really like new. Clean pages, tight binding, shiny cover. Seller Inventory # 122067G
Quantity: 1 available
Seller: Antiquariat Bookfarm, Löbnitz, Germany
Hardcover. 2. ed., corr. printing. X, 192 S. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. Ex-library with stamp and library-signature. GOOD condition, some traces of use. D03773 9780387940946 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2513478
Quantity: 1 available
Seller: Pulpfiction Books, Vancouver, BC, Canada
Hardcover. Condition: Fine. 2nd Edition. Fine hardback issued without dust jacket, clean and unmarked. Seller Inventory # 010956
Quantity: 1 available
Seller: WorldThree, Sheffield, SY, United Kingdom
Hardcover. Condition: Very Good. 2nd Edition. Seller Inventory # ABE-1734124311394
Quantity: 1 available
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Condition: As New. Unread book in perfect condition. Seller Inventory # 671406
Quantity: Over 20 available
Seller: Better World Books: West, Reno, NV, U.S.A.
Condition: Very Good. Former library book; may include library markings. Used book that is in excellent condition. May show signs of wear or have minor defects. Seller Inventory # 9089308-20
Quantity: 1 available
Seller: Grand Eagle Retail, Bensenville, IL, U.S.A.
Hardcover. Condition: new. Hardcover. This book is intended to provide an account of those parts of contemporary set theory that are relevant to other areas of pure mathematics. Intended for advanced undergraduates and beginning graduate students, the text is written in an easy-going style, with a minimum of formalism. The book begins with a review of "naive" set theory; it then develops the Zermelo-Fraenkel axioms of the theory, showing how they arise naturally from a rigorous answer to the question, "what is a set?" After discussing the ordinal and cardinal numbers, the book then delves into contemporary set theory, covering such topics as: the Borel hierarchy, stationary sets and regressive functions, and Lebesgue measure. Two chapters present an extension of the Zermelo-Fraenkel theory, discussing the axiom of constructibility and the question of provability in set theory. A final chapter presents an account of an alternative conception of set theory that has proved useful in computer science, the non-well-founded set theory of Peter Aczel. The author is a well-known mathematician and the editor of the "Computers in Mathematics" column in the AMS Notices and of FOCUS, the magazine published by the MAA. This book provides an account of those parts of contemporary set theory of direct relevance to other areas of pure mathematics. The intended reader is either an advanced-level mathematics undergraduate, a beginning graduate student in mathematics, or an accomplished mathematician who desires or needs some familiarity with modern set theory. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780387940946
Quantity: 1 available
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Condition: New. Seller Inventory # 671406-n
Quantity: Over 20 available
Seller: Lucky's Textbooks, Dallas, TX, U.S.A.
Condition: New. Seller Inventory # ABLIING23Feb2215580173947
Quantity: Over 20 available