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.
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The Essence of Quantum MechanicsThe Essence of Quantum Mechanics By Lê Nguyên Hoang | Updated:2016-02 | Views: 8755 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.
Dynamics, Chaos, Fractals (pt 2)Dynamics, Chaos, Fractals (pt 2) By Scott McKinney | Updated:2015-12 | Views: 1450 Dynamical systems such as a system of 3 planetary bodies can exhibit surprisingly complicated behavior. If the initial state of the system is slightly varied, the resulting system behaves in a radically different manner. This “sensitivity to initial conditions” is a key element of what’s become (perhaps disproportionately) well-known as chaos. Using the mathematical notion of iterative systems, we can model such systems and understand how chaos arises out of deceptively simple foundations.
The Limitless Vertigo of Cantor’s InfiniteThe Limitless Vertigo of Cantor’s Infinite By Lê Nguyên Hoang | Updated:2015-12 | Views: 2475 No one believed him. Not even fellow mathematicians. They thought he was wrong. They thought he was crazy. Even he ended up doubting himself and went crazy. And yet, he had mathematically proved it all. Georg Cantor had figured out how to manipulate the infinite. Even more remarkable, he showed that there were actually several infinities; and some are bigger than others!
Euler’s Formula and the Utilities ProblemEuler’s Formula and the Utilities Problem By Lê Nguyên Hoang | Updated:2016-01 | Views: 9947 I was a kid when I was first introduced to the deceptively simple utilities problem. It’s only lately that I’ve discovered its solution! And it’s an amazing one! Indeed, it provides a wonderful insight into some fundamental mathematics, including Euler’s formula! This is nothing less than the gateway to the wonderful world of algebraic topology!
The New Big Fish Called Mean-Field Game TheoryThe New Big Fish Called Mean-Field Game Theory By Lê Nguyên Hoang | Updated:2016-01 | Views: 9944 In recent years, at the interface of game theory, control theory and statistical mechanics, a new baby of applied mathematics was given birth. Now named mean-field game theory, this new model represents a new active field of research with a huge range of applications! This is mathematics in the making!
Darwin’s Theory of EvolutionDarwin’s Theory of Evolution By Lê Nguyên Hoang | Updated:2016-01 | Views: 12848 Darwin’s theory of evolution is one of the greatest of all time. It’s also one of the most controversial. This article presents the most fundamental concepts of the theory. We’ll also provide results of modern science and discuss to which extend to they confirm Darwin’s postulates.
Non-Euclidean Geometry and Map-MakingNon-Euclidean Geometry and Map-Making By Scott McKinney | Updated:2016-02 | Views: 6110 Geometry literally means “the measurement of the Earth”, and more generally means the study of measurements of different kinds of space. Geometry on a flat surface, and geometry on the surface of a sphere, for example, are fundamentally different. A consequence of this disparity is the fact that it is impossible to create a perfectly accurate (flat) map of the Earth’s (spherical) surface. Every map of the Earth necessarily has distortions. In this post we look at a few different methods of map-making and evaluate their distortions as well as their respective advantages.
The Essence of Quantum Mechanics
