WHAT IS THIS ALL ABOUT

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This page contains lots of information, videos and tips on math. The idea behind this page is to show how mathematical notions come naturally and I hope that some people might find a useful addition to their curiosity. The ideas discussed in the links listed here are concepts that I was not introduced before the Master Course, but I believe that, in one way or another, it is useful to every curious mind.

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MATH COURSES

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Here you can find useful links containing videos, notes and exercises of several interesting talks and courses that are posted for free in the internet.

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• Oxford Mathematics London Public Lecture - Andrew Wiles

In the first Oxford Mathematics London Public Lecture, in partnership with the Science Museum, world-renowned mathematician Andrew Wiles lectured on his current work around Elliptic Curves followed by conversation with Hannah Fry.

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• Overview of Differential Equations

Learn Differential Equations: Up Close with Gilbert Strang and Cleve Moler is an in-depth series of videos about differential equations and the MATLAB® ODE suite. These videos are suitable for students and life-long learners to enjoy.

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OPEN MATH CONJECTURES

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In my opinion, one of the most interesting things in studying mathematics is that even problems with simple statements can end up having a very complex and intricate solution, or even go without an answer until today.

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It is why we, mathematicians, usually call by open math conjectures, the math problems that no one in earth knows how to solve. Since Renaissance, every century has seen the solution of more mathematical problems than the century before, and yet many math conjectures, both major and minor, still remain unsolved. Prizes are often awarded for the solution to a long-standing problem, and lists of unsolved problems receive considerable attention such as the list of Millennium Prize Problems, as well as miscellaneous unsolved problems.

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• The Millennium Prize Problems are seven problems in mathematics that were stated by the Clay Mathematics Institute in 2000. As of October 2014, six of the problems remain unsolved. A correct solution to any of the problems results in a US $1,000,000 prize (sometimes called a Millennium Prize) being awarded by the institute. The Poincaré conjecture was solved by Grigori Perelman, but he declined the award in 2010. Among the 6 remaining problems, I personally believe that 2 of them are particularly interesting:

Riemann Hypothesis
The prime number theorem determines the average distribution of the primes. The Riemann hypothesis tells us about the deviation from the average. Formulated in Riemann's 1859 paper, it asserts that all the 'non-obvious' zeros of the zeta function are complex numbers with real part 1/2.

Navier–Stokes Equation
This is the equation which governs the flow of fluids such as water and air. However, there is no proof for the most basic questions one can ask: do solutions exist, and are they unique? Why ask for a proof? Because a proof gives not only certitude, but also understanding.

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• Collatz Conjecture are seven problems in mathematics that were stated by the Clay Mathematics Institute in 2000. As of October 2014, six

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• Goldbach Conjecture are seven problems in mathematics that were stated by the Clay Mathematics Institute in 2000. As of October 2014, six

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