The mathematics of infinity : a guide to great ideas /

• Main Author: Faticoni, Theodore G. (Theodore Gerard), 1954- (Author)
• Corporate Author: Wiley InterScience (Online service)
• Format: eBook
• Language: English
• Published: Hoboken, N.J. : John Wiley & Sons, [2012]
• Edition: 2nd ed.
• Series: Pure and applied mathematics (John Wiley & Sons : Unnumbered)
• Subjects: Cardinal numbers.; Set theory.; Infinite.; MATHEMATICS > Infinity.; Mengenlehre; Unendlichkeit; Kardinalzahl; Electronic books.

"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...

Table of Contents:

• Front Matter
• Logic
• Sets
• Functions
• Counting Infinite Sets
• Infinite Cardinals
• Well-Ordered Sets
• Inductions and Numbers
• Prime Numbers
• Logic and Meta-Mathematics
• Bibliography
• Index
• Wiley Series in Probability and Statistics.
• 1. Logic
• 2. Sets
• 3. Functions
• 4. Counting infinite sets
• 5. Infinite cardinals
• 6. Well-ordered sets
• 7. Inductions and numbers
• 8. Prime numbers
• 9. Logic and meta-mathematics.