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Z-Twist books

Real Analysis

Real Analysis

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Welcome to the Life of Fred, a quirky young maths genius who will make you look at learning maths in a whole new way. Your kids will laugh their way through learning maths and keep coming back for more.


This book covers Real Analysis, a topic studied by math majors in college. This math is more advanced than what most non-majors ever see, but it still has Fred, and he has a very good time with his favorite topic. Real Analysis is the study of real numbers, functions using the real numbers, and the properties of the real numbers and their functions. It is heavy on theorems and proofs. Calculus is a requirement before studying this topic, and Life of Fred: Five Days is recommended. Topics include:

  • The Real Numbers
  • Sequences
  • Series
  • Tests for Series Convergence
  • Limits and Continuity
  • Derivatives
  • The Riemann Integral
  • Sequences of Functions
  • Series of Functions
  • Two Cow-Moving Theorems
  • Looking Ahead to Topics beyond a First Course in Real Analysis.

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