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 Grand Finale (Part IV): A Long Time Coming…
 Grand Finale (Part III): A Crash Course in Calculus with an Important Outcome
 Grand Finale (Part II): NotsoComplex Numbers
 Grand Finale (Part I): Basics of Trigonometry
 The Traditional Way to Learn Mathematics: A Mountain, then No Mountain, and then a Mountain Again
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Grand Finale (Part IV): A Long Time Coming…
Although to penetrate into the intimate mysteries of nature and thence to learn the true causes of phenomena is not allowed to us, nevertheless it can happen that a certain fictive hypothesis may suffice for explaining many phenomena. — Leonhard … Continue reading
Grand Finale (Part III): A Crash Course in Calculus with an Important Outcome
“I found a discarded textbook on calculus in a wastebasket and read it from cover to cover.” — John Pople ——— The first fundamental teaching from calculus discusses the effect of changing some independent variable on a given dependent variable. In … Continue reading
Grand Finale (Part II): NotsoComplex Numbers
“Out of intense complexities intense simplicities emerge.” — Winston Churchill ——— As I alluded to in the very first blog, the way in which we as mathematicians organize numbers is very special: We use what is called the Real Number … Continue reading
Grand Finale (Part I): Basics of Trigonometry
“If people do not believe that mathematics is simple, it is only because they do not realize how complicated life is.” — John Louis von Neumann ——— It would not be fair of me to throw a formula in your … Continue reading
The Traditional Way to Learn Mathematics: A Mountain, then No Mountain, and then a Mountain Again
“The history of every major galactic civilization tends to pass through three distinct and recognizable phases, those of Survival, Inquiry and Sophistication, otherwise known as the How, Why, and Where phases. For instance, the first phase is characterized by the … Continue reading
Circular Euclidian Geometry: Overlooked Creativity
——— Solutions to the Paradox Problems: 1. There is still more space to fill. Assign all individuals currently residing in the hotel to even hotel room numbers. Assign all individuals who have arrived at the hotel to odd hotel room … Continue reading
Logical Reasoning: To Infinity and Beyond
“Logic is not a body of doctrine, but a mirrorimage of the world. Logic is transcendental.” — Ludwig Wittgenstein ——— Some scholars argue that mathematics is the fundamental language: That it is both universal and scientific. “One does not understand anything … Continue reading
Fractal Geometry: Mathematics of the Future (Part II)
“Fractal geometry will make you see everything differently. There is a danger in reading further. You risk the loss of your childhood vision of clouds, forests, flowers, galaxies, leaves, feathers, rocks, mountains, torrents of water, carpet, bricks, and much else … Continue reading
Fractal Geometry: Mathematics of the Future (Part I)
“Why is geometry often described as ‘cold’ and ‘dry?’ One reason lies in its inability to describe the shape of a cloud, a mountain, a coastline, or a tree. Clouds are not spheres, mountains are not cones, coastlines are not … Continue reading