Real analysis Part 1

Basic Topology

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Real analysis Part 1

What You Will Learn!

  • Mathematics teachers/Instructors
  • Bachelors/Master Students in Mathematics

Description

Course Introduction:

In the mathematics world, Real analysis is the branch of mathematics analysis that studies the behavior of real numbers, sequences and series of real number and real-valued function. Some particular properties of real-valued sequences and functions that real analysis studies include convergence, limits, continuity, smoothness, differentiation, and integrability.

Key content of the course:

  • Construction of real numbers

  • Order properties of real numbers

  • Topological properties of real numbers

  • Sequences, limits, and convergence

  • Uniform convergence

  • Continuity, Uniform continuity, absolute continuity

  • Series

  • Riemann integration

  • Lebesgue integration and measure

  • Compactness

  • Bolzano Weierstrass theorem

  • Heine Borel theorems

So enroll the course and explore the content. See you on the course!

Who Should Attend!

  • Beginners in Mathematics
  • Students of Bachelors/Master studies in Mathematics

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Tags

  • Math

Subscribers

417

Lectures

40

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