7 equations that changed the world avadhesh shukla
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The document outlines the significance of various mathematical equations and their impact on scientific understanding over time, ranging from Pythagoras' theorem to Einstein's equation of mass-energy equivalence. It illustrates how these equations link different mathematical concepts with physical phenomena, leading to advancements in disciplines like calculus, physics, and engineering. Each section emphasizes the implications of these equations, showcasing their foundational roles in modern science.
7 equations that changed the world avadhesh shukla
- 1. Avadhesh Kumar Shukla Scientific Officer DAE/Govt. of India Email: avadheshshukla.amd@gov.in
- 2. What is an equation? An expression that tells that two things are equal. L H S R H S The form of the World that we perceives today…
- 3. 2 2 2 a b c Pythagoras, 530 BC What does it tell us? Link between the lengths of the sides on a right angled triangle, linking geometry and algebra What did it lead to? Distances between places without actually having to measure them, current theories of space, time, and gravity… Basis of Trigonometry
- 4. log log logxy x y John Napeir, 1610 What does it tell us? Big to small numbers What did it lead to? “Shortening the proceedings” Exponential, Radioactive decay, and rates of growth, Earthquakes(Scales), (a predecessor to the calculator!)
- 5. 0 ( ) ( ) lim h df f t h f t dt h Rate of change of quantity With respect to some quantity Change Newton, 1688 What does it tell us? It tells us how to find the way in which function changes at any given moment in time, such as the speed of a car What did it lead to? Formulae for the volume & area of solids, laws of motion Base of Calculus Almost all the math in physics roams around calculus…
- 6. 1 2 2 m m F G d What does it tell us? It allows us to work out the gravitational force between two objects What did it lead to? “The system of the world” How gravity works Explanation to planetary motion; Earth and outside, Basis for the laws of motion the building of satellites Newton, 1687
- 7. 1 i What does it tell us? That the square of the number i is -1, even though this is impossible! What did it lead to? “First term of Quantum Mechanics” Creation of imaginary and complex numbers, which are used to explain waves, heat, electricity, and magnetism Fourier series and Fourier Transform Rafael Bombelli, 1572
- 8. 1 H E 0 E c t 1 E H 0 H c t Electric Field Magnetic Field Divergence = 0 Curl Speed of light What does it tell us? That electricity and magnetism are linked What did it lead to? “Waves in ether” Unification of two great forces. It predicted the existence/generation of electromagnetic waves other than light, leading to radio, radar, and wireless computing J. C. Maxwell, 1865
- 9. 2 E mc What does it tell us? “One thing is absolute” Matter contains energy equal to its mass multiplied by the speed of light squared (a tiny amount of matter contains lots of energy!) What did it lead to? Einstein, 1905
- 10. Thank you!