Introduction to mathematical thinking 1st edition by Alexandru Buium – Ebook PDF Instant Download/Delivery: 1138466840, 978-1138466845
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Product details:
ISBN-10 : 1138466840
ISBN-13 : 978-1138466845
Author: Alexandru Buium
Bridging the gap between procedural mathematics that emphasizes calculations and conceptual mathematics that focuses on ideas, Mathematics: A Minimal Introduction presents an undergraduate-level introduction to pure mathematics and basic concepts of logic. The author builds logic and mathematics from scratch using essentially no background except natural language. He also carefully avoids circularities that are often encountered in related books and places special emphasis on separating the language of mathematics from metalanguage and eliminating semantics from set theory.
Introduction to mathematical thinking 1st Table of contents:
Part 1. Logic
Chapter 1. Languages
Chapter 2 Metalanguage
Chapter 3. Syntax
Chapter 4. Tantologies
Chapter 5. Proofs
Chapter 6. Theories
Chapter 7. ZFC
Part 2. Set theory
Chapter 8. Sets
Chapter 9. Maps
Chapter 10. Relations
Chapter 11. Operations
Part 3. The discrete
Chapter 12. Integers
Chapter 13. Induction
Chapter 14. Rationals
Chapter 15. Combinatorics
Chapter 16. Sequences
Part 4. The contimnum
Chapter 17. Reals
Chapter 18. Topology
Chapter 19. Imaginaries
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