Introduction to Pythagoras When you think of Pythagoras, what comes to mind first? Most likely, it’s his famous theorem. But Pythagoras was more than just a mathematician; he was a philosopher, a teacher, and a sage whose influence extended far beyond ...
Galileo Galilei, often known simply as Galileo, was a figure of extraordinary intellect and audacity whose life history is synonymous with scientific revolution. Born on February 15, 1564, in Pisa, Italy, he would go on to become one of the most influent ...
A name stands out as a symbol of unparalleled brilliance and inspiration in the annals of mathematics. The Indian mathematical prodigy Srinivasa Ramanujan transcended the boundaries of struggle and triumph. His extraordinary life journey from obscurity t ...
Introduction to Mass Energy Equivalence Albert Einstein’s equation E=mc2E=mc^2E=mc2 is one of the most famous equations in physics, symbolizing the deep connection between mass and energy. This elegant formula encapsulates a groundbreaking idea: that ...
Introduction to the Concept of Variation of Mass Albert Einstein's Special Theory of Relativity introduced several groundbreaking ideas that reshaped our understanding of physics. Among these, the concept of the variation of mass with velocity stands ...
Introduction: The Elegance of Symmetry in Physics In the vast and intricate world of physics, symmetry plays a crucial role. One of the most profound examples of symmetry is found in the Lorentz transformation. When we say the Lorentz transformation f ...
Introduction to Classical Mechanics Classical mechanics is a cornerstone of physics, describing how objects move and interact with forces. It encompasses various formulations, each providing unique insights and tools for solving mechanical problems. O ...
When we think about the shortest path between two points, we often envision a straight line on a flat surface. However, in the realm of curved spaces, the concept of the shortest path takes on a new form known as a "geodesic." Understanding geodesics is ...
Welcome, fellow math enthusiasts, to an intriguing journey through the world of the calculus of variations! Today, we will explore the special cases of Euler's Equation, a cornerstone in this field. Whether you are a seasoned mathematician or a curious l ...
Euler's equation, also known as the Euler-Lagrange equation, is a fundamental concept in the calculus of variations, a branch of mathematics that deals with finding the extremum (minimum or maximum) of a functional. In this context, a functional is a fun ...
