The Mathematics of Infinity |
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.