James M. Henle

An Outline of Set Theory (eBook, PDF)

• Format: PDF

Produktbeschreibung

This book is an innovative problem-oriented introduction to undergraduate set theory. It is intended to be used in a course in which the students work in groups on projects and present their solutions to the class. Students completing such a course come away with a deeper understanding of the material, as well as a clearer view of what it means to do mathematics. The topics covered include standard undergraduate set theory, as well as some material on nonstandard analysis, large cardinals, and Goodstein's Theorem.

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Produktdetails

• Verlag: Springer US
• Seitenzahl: 146
• Erscheinungstermin: 6. Dezember 2012
• Englisch
• ISBN-13: 9781461386803
• Artikelnr.: 43992330

Inhaltsangabe

One Projects.- 1. Logic and Set Theory.- 2. The Natural Numbers.- 3. The Integers.- 4. The Rationals.- 5. The Real Numbers.- 6. The Ordinals.- 7. The Cardinals.- 8. The Universe.- 9. Choice and Infinitesimals.- 10. Goodstein's Theorem.- Two Suggestions.- 1. Logic and Set Theory.- 2. The Natural Numbers.- 3. The Integers.- 4. The Rationals.- 5. The Real Numbers.- 6. The Ordinals.- 7. The Cardinals.- 8. The Universe.- 9. Choice and Infinitesimals.- 10. Goodstein's Theorem.- Three Solutions.- 1. Logic and Set Theory.- 2. The Natural Numbers.- 3. The Integers.- 4. The Rationals.- 5. The Real Numbers.- 6. The Ordinals.- 7. The Cardinals.- 8. The Universe.- 9. Choice and Infinitesimals.- 10. Goodstein's Theorem.