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Free Textbooks in Mathematics
Fri, 02/24/2017 - 08:00 — yonatan zilpa

The following is a list of links to useful textbooks in mathematics, available for free on the Internet. All books are legally safe to download, The books are in printable format - Postscript (PS) or Portable Document Format (PDF). You are free to download, read and print them. This is a partial list of "free textbooks" in math, the list is to be updated regularly.
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math textbooks
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how to use reverse and forward search with vim and zathura
Thu, 05/16/2019 - 13:00 — yonatan zilpa

A simple way to do forward and reverse search with Vim and Zathura.
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laTex
zathura
pdflatex
inverse search
forward search
vim
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List of Computer tools in mathematics
Fri, 02/26/2016 - 16:53 — yonatan zilpa

The following list links to free computer tools for mathematics.
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Finding which package provides a command
Tue, 05/14/2019 - 00:46 — yonatan zilpa

Suppose a command is not available in the system and we need to install it. How do we find a suitable package that provide this command? In Debian or Ubuntu we can simply run the following command
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apt
apt-file
Debian
Ubuntu
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Fibonacci Sequence, A Pattern of Natural Beauty
Fri, 02/26/2016 - 17:33 — yonatan zilpa

The sequence of Fibonacci can be found everywhere in nature. First mentioned by Leonardo Fibonacci who was a medieval mathematician that was trying to solve problem involving the growth of a population of rabbits. It became one of the most famous sequence in all of mathematics. Here is a mathematical description of some of its fundamental properties...

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recreational mathematics
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Steinhaus theorem
Thu, 11/24/2016 - 13:15 — yonatan zilpa
Let $\lambda$ be Borel measure.

If $A$ is mesuarable and $\lambda(A)>0$, then $A-A=\left\{ x-y\; :\; x,y\in A \right\}$ contains a segment $I$ such that $0\in I$

If $A, B$ are measurable sets and $\lambda(A), \lambda(B)>0$, then $A+B$ contains a segment I.
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theorems
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The circle of Apollonius
Fri, 02/26/2016 - 17:05 — yonatan zilpa

By definition, a circle is the locus of all points equidistant from a fixed center. However, the circle of Apollonius is defined differently. In the following post I will define and construct an Apollonian circle.
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geometry
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Getting help in Tex Typesetting System
Wed, 05/15/2019 - 04:36 — yonatan zilpa

Normally Tex typesetting system distribution (such as TexLive, MikTex or TeTex) comes with a builtin help commands that provides excellent tutorials, books and plenty other documentations. Of course, the best way to learn it is to use it, so let's play with commands:
Tags:
texdoc
laTex
tex
TexLive
MikTex
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Conceptual Language and Learning
Mon, 12/26/2016 - 15:17 — yonatan zilpa

Normally when we learn human spoken language we translate words to our own mother tongue language. But when we learn our mother tongue language we have no language to translate new words. How do we understand mother tongue without translating words? Is there some kind of conceptual language where we can translate mother tongue new words? And if so, can we use this conceptual language to become better learner?

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learning tips
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Asymptotic Differentiable Function
Thu, 11/24/2016 - 14:45 — yonatan zilpa

Let $f$ be any function asymptotic at zero. Prove/Disprove:
If $f$ is differentiable everywhere in its domain, then $\lim_{x\to \infty}f\;'(x)$ must be equal to zero?
Tags:
recreational mathematics
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Free Textbooks in Mathematics

how to use reverse and forward search with vim and zathura

List of Computer tools in mathematics

Finding which package provides a command

Fibonacci Sequence, A Pattern of Natural Beauty

Steinhaus theorem

The circle of Apollonius

Getting help in Tex Typesetting System

Conceptual Language and Learning

Asymptotic Differentiable Function

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