Rough Guides to Analysis

Rough Guides to Analysis

Calculus	Calculus Multivariable Calculus Vectors & Space
Real Analysis	Real Analysis I
Complex Analysis	Complex Analysis II

The category "analysis" includes the following articles:

Vectors & Space

This guide will discuss vectors and mathematical objects in 3-dimensional space. Vectors provide a significant portion of the language of multivariable calculus, and must be understood before adequately broaching that subject. read more...

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Multivariable Calculus

Multivariable calculus extends the notions of single-variable calculus to functions with more than one input and/or output. read more...

analysis calculus level1 msc25

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Real Analysis I

Real analysis is the study of the properties of real numbers, and functions on the real numbers. It demonstrates how to obtain the results usually seen in a calculus course using a completely rigorous mathematical approach. Frequently, one sees a lot of new and unfamiliar notation in real analysis, as well as new techniques for proving things. For this reason, real analysis has a reputation as being a rather difficult course. It is also full of surprises, and results which run counter to intuition. For example, there are more irrational numbers than rational numbers, even though both sets are infinite. read more...

analysis level2 msc26 real-analysis

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Complex Analysis II

Complex analysis…. greater depth… read more...

analysis complex-analysis level4 msc30

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Calculus

Calculus is the study of change… read more...

analysis calculus level1 msc26

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