My name is Lê and I believe that the greatest challenge in education is to make science and math appealing.
This is why I aim at bringing enthusiasm and excitement to the readers’ learning experience.
Science4All is also available in French.

The Essence of Quantum MechanicsThe Essence of Quantum Mechanics By Lê Nguyên Hoang | Updated:2016-02 | Views: 7566 Quantum mechanics is the most accurate and tested scientific theory, Its applications to real life are countless, as all new technologies are based on its principles. Yet, it’s also probably the most misunderstood theory, because it constantly contradicts common sense. This article presents the most important features of the theory.

Geometry and General RelativityGeometry and General Relativity By Scott McKinney | Updated:2015-12 | Views: 1670 From our “intrinsic” point-of-view on the surface of the Earth, it appears to be flat, but if we examine the Earth from the “extrinsic” point of view, somewhere off the Earth’s surface, we can see that it is clearly a curved surface. Amazingly, it is possible to determine that the Earth is spherical simply by taking measurements on its surface, and it is possible to generalize these measurements in order to study the shape of the universe. Mathematicians such as Riemann did just this, and Einstein was able to apply these geometric ideas to his “general theory of relativity”, which describes the relation between gravitation, space, and time.

Poincaré Conjecture and HomotopyPoincaré Conjecture and Homotopy By Lê Nguyên Hoang | Updated:2016-01 | Views: 5519 Poincaré conjecture is the most recent major proven theorem. Posited a century ago by Henri Poincaré, this major conjecture of topology was solved by Gregori Perelman. It has revolutionized our understanding of space and raised intriguing questions regarding the global structure of our Universe.

Imaginary and Complex NumbersImaginary and Complex Numbers By Lê Nguyên Hoang | Updated:2016-02 | Views: 4496 My first reaction to imaginary numbers was… What the hell is that? Even now, I have trouble getting my head around these mathematical objects. Fortunately, I have a secret weapon: Geometry! This article proposes constructing complex numbers with a very geometrical and intuitive approach, which is probably very different from what you’ve learned (or will learn).

Geological Wonders of IcelandGeological Wonders of Iceland By Lê Nguyên Hoang | Updated:2016-02 | Views: 1373 Iceland is at an amazingly active volcanic location, yielding extreme geological phenomenons. Iceland is therefore a giant laboratory for geologists. It’s also an awesome place for visitors, especially hikers. This article introduces some of Iceland’s wonders.

The Tortuous Geometry of the Flat TorusThe Tortuous Geometry of the Flat Torus By Lê Nguyên Hoang | Updated:2015-12 | Views: 9605 Take a square sheet of paper. Can you glue opposite sides without ever folding the paper? This is a conundrum that many of the greatest modern mathematicians, like Gauss, Riemann, and Mandelbrot, couldn’t figure out. While John Nash did answer yes, he couldn’t say how. After 160 years of research, Vincent Borrelli and his collaborators have finally provided a revolutionary and breathtaking example of a bending of a square sheet of paper! And it is spectacularly beautiful!

Fourier Analysis: Signals and FrequenciesFourier Analysis: Signals and Frequencies By Lê Nguyên Hoang | Updated:2016-01 | Views: 5291 Fourier analysis is a fundamental theory in mathematics with an impressive field of applications. From creating radio to hearing sounds, this concept is a translation between two mathematical worlds: Signals and Frequencies. Here is an introduction to the theory.