A Course in Real Analysis/Chapter 1 Real axioms

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Section 1: Skipping the Constructions

  1. Video 0000: Introduction to the Course
  2. Video 0001: Group Axioms
  3. Video 0002: Rings and Fields
  4. Video 0003: Orders
  5. Video 0004: Bounds
  6. Video 0004.1: Bounds of Subsets
  7. Video 0005: Ordered Fields
  8. Video 0005.1: Algebraic theorems for sups and infs
  9. Video 0006: Completeness and axioms

Section 2: Properties of Real Numbers

  1. Video 0007: Basic theorems for ℝ and ℕ
  2. Video 0008:
  3. Video 0009:
  4. Video 0010:
  5. Video 0011:
  6. Video 0012:
  7. Homework set 1
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