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The Mathematics of Infinity: A Guide to Great Ideas (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts) - Hardcover
Synopsis
A balanced and clearly explained treatment of infinity in mathematics.
The concept of infinity has fascinated and confused mankind for centuries with concepts and ideas that cause even seasoned mathematicians to wonder. For instance, the idea that a set is infinite if it is not a finite set is an elementary concept that jolts our common sense and imagination. the Mathematics of Infinity: A guide to Great Ideas uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing.
Writing with clear knowledge and affection for the subject, the author introduces and explores infinite sets, infinite cardinals, and ordinals, thus challenging the readers' intuitive beliefs about infinity. Requiring little mathematical training and a healthy curiosity, the book presents a user-friendly approach to ideas involving the infinite. readers will discover the main ideas of infinite cardinals and ordinal numbers without experiencing in-depth mathematical rigor. Classic arguments and illustrative examples are provided throughout the book and are accompanied by a gradual progression of sophisticated notions designed to stun your intuitive view of the world.
With a thoughtful and balanced treatment of both concepts and theory, The Mathematics of Infinity focuses on the following topics:
* Sets and Functions
* Images and Preimages of Functions
* Hilbert's Infinite Hotel
* Cardinals and Ordinals
* The Arithmetic of Cardinals and Ordinals
* the Continuum Hypothesis
* Elementary Number Theory
* The Riemann Hypothesis
* The Logic of Paradoxes
Recommended as recreational reading for the mathematically inquisitive or as supplemental reading for curious college students, the Mathematics of Infinity: A Guide to Great Ideas gently leads readers into the world of counterintuitive mathematics.
"synopsis" may belong to another edition of this title.
About the Author
Theodore G. Faticoni, PhD, is Professor in the Dept. of Mathematics at Fordham University. He received his PhD in Mathematics from the Univ. of Connecticut in 1981. His professional experience includes 30 research papers in peer reviewed journals and 30 lectures on his research to his colleagues.
Review
"...an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity." (Computing Reviews.com, May 25, 2007)
"...a very well written introduction to set theory...easy to read and well suited for self-study...highly recommended." (CHOICE, February 2007)
"About this title" may belong to another edition of this title.
- PublisherWiley-Interscience
- Publication date2006
- ISBN 10 0471794325
- ISBN 13 9780471794325
- BindingHardcover
- LanguageEnglish
- Edition number1
- Number of pages287
- Rating
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The Mathematics of Infinity: A Guide to Great Ideas (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)
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Wiley-Interscience (edition 1), 2006
ISBN 10: 0471794325
ISBN 13: 9780471794325
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The Mathematics of Infinity: A Guide to Great Ideas (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)
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The Mathematics of Infinity: A Guide to Great Ideas
Published by
Wiley-Interscience, Hoboken, New Jersey, 2006
ISBN 10: 0471794325
ISBN 13: 9780471794325
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Hardcover
First Edition
Seller: About Books, Henderson, NV, U.S.A.
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Hardcover. Condition: New. First Printing of the First Edition. Hoboken, New Jersey: Wiley-Interscience, 2006. New and unread in near PERFECT condition (with only a bit of mild wear to the covers -- like you sometimes find in any new book store). Bright and shiny. Flat, uncreased spine. NO chips, tears, creases or fading. Square and tight. Hinges are perfect. NO owner's name or bookplate. NOT a remainder. Pages are bright white, fresh, crisp, clean and unmarked - obviously never read. Bound in the original blue and silver laminated boards. From the rear cover: "A balanced and clearly explained treatment of infinity in mathematics. The concept of infinity has fascinated and confused mankind for centuries with concepts and ideas that cause even seasoned mathematicians to wonder. For instance, the idea that a set is infinite if it is not a finite set is an elementary concept that jolts our common sense and imagination. the Mathematics of Infinity: A guide to Great Ideas uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing. Writing with clear knowledge and affection for the subject, the author introduces and explores infinite sets, infinite cardinals, and ordinals, thus challenging the readers' intuitive beliefs about infinity. Requiring little mathematical training and a healthy curiosity, the book presents a user-friendly approach to ideas involving the infinite. readers will discover the main ideas of infinite cardinals and ordinal numbers without experiencing in-depth mathematical rigor. Classic arguments and illustrative examples are provided throughout the book and are accompanied by a gradual progression of sophisticated notions designed to stun your intuitive view of the world. With a thoughtful and balanced treatment of both concepts and theory, The Mathematics of Infinity focuses on the following topics: Sets and Functions; Images and Preimages of Functions; Hilbert's Infinite Hotel; Cardinals and Ordinals; The Arithmetic of Cardinals and Ordinals; The Continuum Hypothesis; Elementary Number Theory; The Riemann Hypothesis; The Logic of Paradoxes. Recommended as recreational reading for the mathematically inquisitive or as supplemental reading for curious college students, the MATHEMATICS OF INFINITY: A GUIDE TO GREAT IDEAS gently leads readers into the world of counterintuitive mathematics." From the Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts. First Printing of the First Edition. Hardcover. New/No dust jacket, as issued. 8vo. xiii, 290pp. Great Packaging, Fast Shipping. Seller Inventory # 027938
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