Proofs and Concepts The Fundamentals of Abstract Mathematics

This free undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It is designed to be the textbook for a bridge course that introduces undergraduates to abstract mathematics, but it is also suitable for independent stu...

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Detaylı Bibliyografya
Asıl Yazarlar: Morris, Dave Witte (Yazar), Morris, Joy (Yazar)
Materyal Türü: Elektronik Ekitap
Dil:İngilizce
Baskı/Yayın Bilgisi: Lethbridge, Alberta Dave Witte Morris, Joy Morris [2013]
Seri Bilgileri:Open textbook library.
Konular:
Online Erişim:Access online version
Etiketler: Etiketle
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İçindekiler:
  • Part I. Introduction to Logic and Proofs
  • 1. What is Logic?
  • 2. Propositional Logic
  • 3. Two-Column Proofs
  • Part II. Sets and First-Order Logic
  • 4. Sets, Subsets, and Predicates
  • 5. Operations on Sets
  • 6. First-Order Logic
  • 7. Quantifier Proofs
  • 8. Divisibility and Congruence
  • Part III. Other Fundamental Concepts
  • 9. Functions
  • 10. Cardinality
  • 11. Proof by Induction
  • 12. Equivalence Relations