Analysis (math) | Wikipedia audio article

This is an audio version of the Wikipedia Article:
https://en.wikipedia.org/wiki/Mathema...


00:00:53 1 History
00:02:13 2 Important concepts
00:02:40 2.1 Metric spaces
00:04:00 2.2 Sequences and limits
00:04:54 3 Main branches
00:05:20 3.1 Real analysis
00:06:14 3.2 Complex analysis
00:07:07 3.3 Functional analysis
00:08:01 3.4 Differential equations
00:08:54 3.5 Measure theory
00:09:48 3.6 Numerical analysis
00:10:41 4 Other topics
00:11:35 5 Applications
00:12:01 5.1 Physical sciences
00:12:55 5.2 Signal processing
00:13:48 5.3 Other areas of mathematics
00:14:42 6 See also



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SUMMARY
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Mathematical analysis is the branch of mathematics dealing with limits
and related theories, such as differentiation, integration, measure, infinite series, and analytic functions.These theories are usually studied in the context of real and complex numbers and functions. Analysis evolved from calculus, which involves the elementary concepts and techniques of analysis.
Analysis may be distinguished from geometry; however, it can be applied to any space of mathematical objects that has a definition of nearness (a topological space) or specific distances between objects (a metric space).