Real analysis Part 1
Real analysis Part 1
MP4 | Video: h264, 1280x720 | Audio: AAC, 44.1 KHz
Language: English | Size: 4.78 GB | Duration: 12h 0m
Basic Topology
What you'll 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 this course is for
Beginners in Mathematics
Students of Bachelors/Master studies in Mathematics
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