2nd Edition
by Theodore G. Faticoni (Author)
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:
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Logic, sets, and functions
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Prime numbers
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Counting infinite sets
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Well ordered sets
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Infinite cardinals
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Logic and meta-mathematics
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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.