## Free Textbooks in Mathematics

Fri, 02/24/2017 - 08:00 — yonatan zilpaThe 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.- Read more about Free Textbooks in Mathematics
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## Fibonacci Sequence, A Pattern of Natural Beauty

Fri, 02/26/2016 - 17:33 — yonatan zilpaThe 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...- Read more about Fibonacci Sequence, A Pattern of Natural Beauty
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## List of Computer tools in mathematics

Fri, 02/26/2016 - 16:53 — yonatan zilpaThe following list links to free computer tools for mathematics.- Read more about List of Computer tools in mathematics
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## Four bottles - Equidistant mouth problems

Sun, 04/17/2016 - 05:29 — yonatan zilpaHow to place four identical bottles in the plane such that the distance between each pair of mouths will be the same?- Read more about Four bottles - Equidistant mouth problems
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## How many squares can be found here?

Sun, 08/14/2016 - 13:40 — yonatan zilpa- Read more about How many squares can be found here?
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## Emotions Relationship & Learning

Wed, 12/07/2016 - 14:48 — yonatan zilpaIt's been said that "necessity is the mother of inventions", but necessity is the mother of learning as well. Learning is vital to survival it is a necessity, however necessity determines what we learn. This interaction between necessity and learning is part of "emotional relationship" between the learner his/her topic.- Read more about Emotions Relationship & Learning
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## Hahn Decomposition Theorem

Thu, 11/24/2016 - 14:07 — yonatan zilpaLet $\nu$ be a signed measure over measurable space $(X,\mathcal{M})$. Denote $\tilde{N}=\left\{ u\in \mathcal{M} \; :\; \mbox{$u$ is $\nu$-negative} \right\}$ and $\tilde{P}=\left\{ u\in \mathcal{M} \; :\; \mbox{$u$ is $\nu$-positive} \right\}$- $\exists N\in \tilde{N}\Big(\exists P \in \tilde{P}\Big( N\cap P=\emptyset \; \mbox{ and }\; N\cup P = X\Big)\Big)$
- $\forall N,N^{'}\in \tilde{N}\Big(\forall P,P^{'}\in \tilde{P} \Big(N\sqcup P =N^{'}\sqcup P^{'}=X \; \Longrightarrow \nu( P\triangle \tilde{P})=\nu( N\triangle \tilde{N})=0\Big)\Big) $

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## Google search tips

Thu, 11/24/2016 - 14:40 — yonatan zilpaTips and tricks on Google search techniques.- Read more about Google search tips
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## Learning tips

Sun, 12/04/2016 - 14:54 — yonatan zilpaHow to make the most of your learning time? Efficient learning and good usage of time may be key ingredients. Each student may have his own unique style of learning, but there exist patterns and strategies that can help everyone. Here is a list of links to good webinars and lectures note that may help you chose your own style of learning.- Read more about Learning tips
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## Asymptotic Differentiable Function

Thu, 11/24/2016 - 14:45 — yonatan zilpaLet $f$ 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?- Read more about Asymptotic Differentiable Function
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