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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 Listening is a more natural way of learning, when compared to reading. Written language only began at around 3200 BC, but spoken language has existed long ago. Learning by listening is a great way to: increases imagination and understanding improves your listening skills improves your own spoken accent learn while on the move reduce eye strain Now learn the vast amount of general knowledge available on Wikipedia through audio (audio article). You could even learn subconsciously by playing the audio while you are sleeping! If you are planning to listen a lot, you could try using a bone conduction headphone, or a standard speaker instead of an earphone. Listen on Google Assistant through Extra Audio: https://assistant.google.com/services... Other Wikipedia audio articles at: https://www.youtube.com/results?searc... Upload your own Wikipedia articles through: https://github.com/nodef/wikipedia-tts Speaking Rate: 0.8433979909887793 Voice name: en-US-Wavenet-A "I cannot teach anybody anything, I can only make them think." Socrates SUMMARY ======= 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).