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MATHS SUMMARIES

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About These Documents

The documents below are my notes from having taken maths courses at the university. I hope that the documents might be useful, but I will not be held responsible if they have mistakes.

If you want to study mathematics in Modern Greek or if you want a symbolic maths dictionary for English, Danish and Modern Greek, make sure to visit this page as well:

Maths Foundation (updated 2004-06-30):

Many basic things of mathematics. Should be fairly tidy and free of mistakes - recommendable!

Trigonometric Functions, Exponential Functions, Complex Numbers, Integration and Differentiation (updated 2004-06-30):

Should be fairly tidy and free of mistakes - highly recommendable!

Linear Algebra (updated 2004-06-30):

Quite incomplete (but small) and may have mistakes and be messy.

Algebra (updated 2004-06-30, will be updated soon):

Should be fairly free of mistakes but not yet complete - recommendable!

About Real Numbers and Limes Inferior / Superior (updated 2004-06-30):

Could have mistakes - but small and fairly recommendable I guess.

Convergence of Sequences and Series (updated 2004-06-30):

Just a simple 2-page document.

Complex Analysis (updated 2004-06-30):

Could have mistakes and may not be complete - fairly recommendable I guess.

List of Well-known Spaces (updated 2004-06-30):

Only 2 pages. Should be used with the next 3 documents about Metric Spaces, Differential Equations and Hilbert Spaces.

Metric Spaces (updated 2004-06-30):

Might be messy, have mistakes and be incomplete - but there are some highlights.

Differential Equations (updated 2004-06-30):

Might be messy, have mistakes and be incomplete.

Hilbert Spaces (updated 2004-06-30):

Might be messy, have mistakes and be incomplete.

Topology (updated 2004-06-30, might be updated soon):

Might have mistakes and be incomplete - but fairly recommendable.

Riemann and Lebesque Integrals (updated 2004-06-30):

Might be messy, have mistakes and be incomplete.

Measure Theory (updated 2004-06-30, will be updated soon):

Might be messy. It has some mistakes and some things missing that I have on paper - wait for the updated version :-)

Probability (updated 2004-06-30, will be updated soon):

It has some mistakes and some things are missing that I have on paper - wait for the updated version!

Differential Geometry, Curves (updated 2004-06-30):

Messy and might be incomplete and have mistakes, but there are a few highlights.

Differential Geometry, Surfaces (updated 2004-06-30):

Messy and might be incomplete and have mistakes, but there are a few highlights.




Hardcore ProcessingModified: 2023-05-19
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