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Faticoni, Theodore G.

The Mathematics of Infinity: A Guide to Great Ideas

Faticoni, Theodore G. - The Mathematics of Infinity: A Guide to Great Ideas, e-kirja

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ISBN: 9781118243824
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Praise for the First Edition

". . . an enchanting book for those people in computer science or mathematics who are fascinated by the concept of infinity."—Computing Reviews

". . . a very well written introduction to set theory . . . easy to read and well suited for self-study . . . highly recommended."—Choice

The concept of infinity has fascinated and confused mankind for centuries with theories and ideas that cause even seasoned mathematicians to wonder. The Mathematics of Infinity: A Guide to Great Ideas, Second Edition uniquely explores how we can manipulate these ideas when our common sense rebels at the conclusions we are drawing.

Continuing to draw from his extensive work on the subject, the author provides a user-friendly presentation that avoids unnecessary, in-depth mathematical rigor. This Second Edition provides important coverage of logic and sets, elements and predicates, cardinals as ordinals, and mathematical physics. Classic arguments and illustrative examples are provided throughout the book and are accompanied by a gradual progression of sophisticated notions designed to stun readers' intuitive view of the world.

With an accessible and balanced treatment of both concepts and theory, the book focuses on the following topics:

  • Logic, sets, and functions

  • Prime numbers

  • Counting infinite sets

  • Well ordered sets

  • Infinite cardinals

  • Logic and meta-mathematics

  • Inductions and numbers

Presenting an intriguing account of the notions of infinity, The Mathematics of Infinity: A Guide to Great Ideas, Second Edition is an insightful supplement for mathematics courses on set theory at the undergraduate level. The book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the world of counterintuitive mathematics.

Avainsanat: Number Theory, Mathematics of infinity, infinite sets, infinite cardinals, ordinals, infinity, mathematics, ordinal numbers, logic and sets, functions, counting infinite sets, well ordered sets, prime numbers, meta-mathematics

Tekijä(t)
Julkaisija
John Wiley and Sons, Inc.
Julkaisuvuosi
2012
Kieli
en
Painos
2
Sarja
Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
Sivumäärä
352 sivua
Kategoria
Eksaktit luonnontieteet
Tiedostomuoto
E-kirja
eISBN (PDF)
9781118243824
Painetun ISBN
9781118204481

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