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(Karl Robert) 1931–1994. An introduction to classical real analysis / Karl R. Stromberg. pages cm. Originally published: Belmont



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AN INTRODUCTION TO CLASSICAL REAL ANALYSIS

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NUMBERS 7 Axioms for R 8 The Supremum Principle 12 The Natural Numbers 13 Integers 16 Decimal Representation of Natural Numbers



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  • How to learn real analysis?

    Besides the fact that it's just plain harder, the way you learn real analysis is not by memorizing formulas or algorithms and plugging things in. Rather, you need to read and reread definitions and proofs until you understand the larger concepts at work, so you can apply those concepts in your own proofs.
  • What is the basic concept of real analysis?

    Real analysis is a branch of mathematical analysis that analyses the behaviour of real numbers, sequences and series, and real functions. Convergence, limits, continuity, smoothness, differentiability, and integrability are some of the features of real-valued sequences and functions that real analysis explores.
  • Is real analysis tough?

    Real analysis is a course that is deceptively simple — there's not a lot of difficult computation, but the class will pry and tug at your understanding of simple concepts to make sure it is airtight. I think part of the reason this class was hard for me is that it was just me vs the world.
  • General topics

    Limits.Sequences and series.Convergence.Functions.Derivatives.Integrals.
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