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The Mathematics of Infinity: A Guide to Great Ideas
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The Mathematics of Infinity: A Guide to Great Ideas Hardcover - 2006

by Theodore G. Faticoni


Summary

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.

First line

The ideal writing style ascribed to by mathematicians is that in writing mathematics, less is more.

Details

  • Title The Mathematics of Infinity: A Guide to Great Ideas
  • Author Theodore G. Faticoni
  • Binding Hardcover
  • Edition First printing
  • Pages 287
  • Volumes 1
  • Language ENG
  • Publisher Wiley-Interscience
  • Date June 30, 2006
  • Illustrated Yes
  • ISBN 9780471794325 / 0471794325
  • Weight 1.2 lbs (0.54 kg)
  • Dimensions 9.56 x 7.88 x 0.81 in (24.28 x 20.02 x 2.06 cm)
  • Library of Congress subjects Infinite, Set theory
  • Library of Congress Catalog Number 2006043902
  • Dewey Decimal Code 511.322

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.
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The Mathematics of Infinity : A Guide to Great Ideas
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The Mathematics of Infinity : A Guide to Great Ideas

by Faticoni, Theodore G

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The Mathematics of Infinity: A Guide to Great Ideas

The Mathematics of Infinity: A Guide to Great Ideas

by Theodore G. Faticoni

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The Mathematics of Infinity: A Guide to Great Ideas
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The Mathematics of Infinity: A Guide to Great Ideas

by Faticoni, Theodore G

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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… Read More
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The Mathematics of Infinity: A Guide to Great Ideas (Pure and Applied Mathematics: A Wiley Series...
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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)

by Faticoni, Theodore G.

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The Mathematics of Infinity: A Guide to Great Ideas (Pure and Applied Mathematics: A Wiley Series...

The Mathematics of Infinity: A Guide to Great Ideas (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

by Faticoni, Theodore G

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Wiley-Interscience, 2006-06-30. Hardcover. Fine/None as issued. 10x7x0. Brand new book in publisher's shrink wrap. Large tear on front of shrink wrap, book is in perfect condition. Books that sell for $9 or more ship in a box; under $9 in a bubble mailer. Expedited and international orders may ship in a flat rate envelope rather than a box due to cost constraints. All US-addressed items ship with complimentary delivery confirmation.
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The Mathematics of Infinity: A Guide to Great Ideas (Pure and Applied Mathematics: A Wiley Series...
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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)

by Faticoni, Theodore G

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