Math & physics fan sharing simple, beautiful ideas—based on what I’ve learned from writing books. Clarity first, always. ✨
Joined April 2025
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📘 Galois' Group Theory
Explore the ideas behind Galois' remarkable insights into equations and symmetry. Discover the mathematical thinking that helped shape modern algebra.
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#Math #GaloisTheory
The figure shows a semicircle with diameter AB, where arcs AC and BC are equal.
Given that DE = 3 and DF = 2, find BF.
#mathpuzzle #Geometry #GeometricProblem
November 3, 1867 — Wilhelm Kutta was born.
A key developer of the Runge–Kutta methods, he revolutionized numerical solutions of differential equations—now essential for simulations across science and engineering. 🔢⚙️
#OnThisDay #Math #NumericalAnalysis
∠ABD = ∠CBD = 20°,∠BCA = ∠DCA = 40°.
Find the measure of ∠ADB.
#mathpuzzle #Geometry #GeometricProblem
November 2, 1815 — George Boole was born.
A self-taught mathematician, he founded Boolean algebra, the language of logic that underpins modern computing and digital circuits. His abstract logic became the foundation of the information age. 💡🧮
#OnThisDay #Mathematics #Logic
ABCD is a rectangle.
BD = BE, ∠CFE = 100°.
Find the measure of ∠ADE.
#mathpuzzle #Geometry #GeometricProblem
October 31, 1935 — Ronald Graham was born.
A master of combinatorics and discrete geometry, he connected art and mathematics—from juggling patterns to Ramsey theory. His playful spirit made math beautifully human. 🎪📐
#OnThisDay #Mathematics #Graham
October 31, 1815 — Karl Weierstrass was born.
Often called the "father of modern analysis," he laid the rigorous foundations of calculus through limits and continuity. His precise definitions shaped mathematics as we know it today. ✨📐
#OnThisDay #Math #Weierstrass
ABCD and DEFG are squares.
CE = 4 and HI = 8.
Find the area of the shaded region.
#mathpuzzle #Geometry #GeometricProblem
October 30, 1907 — Harold Davenport was born.
A master of analytic number theory, he shed light on the mysteries of Diophantine equations and the distribution of prime numbers. His insights helped shape modern mathematics. ✨📘
#OnThisDay #Mathematics #Davenport
Two semicircles overlap.
If AB = 2, find the area of the shaded region.
#mathpuzzle #Geometry #GeometricProblem
October 29, 1925 — Klaus Friedrich Roth was born.
A brilliant mathematician, he proved Roth’s theorem on Diophantine approximation, earning the 1958 Fields Medal. His work laid deep foundations for modern number theory. 🔢✨
#OnThisDay #Math #Roth
Two semicircles, each with a radius of 2, overlap.
Find the area of the shaded region.
#mathpuzzle #Geometry #GeometricProblem
October 28, 1804 — Pierre François Verhulst was born.
He introduced the logistic growth model, showing how populations expand rapidly but eventually level off as resources run short—a cornerstone of ecology and social sciences. 📈🌱
#OnThisDay #Mathematics #Verhulst
The figure shows a regular hexagon and a regular heptagon.
How many times as large as angle x is angle y?
#mathpuzzle #Geometry #GeometricProblem
Two semicircles are drawn externally on sides AB and AC of right isosceles triangle ABC, with these sides as their diameters.
Points D and E are the midpoints of arcs AB and AC, respectively.
If BC = 4, find the area of the shaded region.
#mathpuzzle #Geometry #GeometricProblem
October 26, 1849 — Ferdinand Frobenius was born.
A pioneer of modern algebra, he developed group representation theory and the Frobenius endomorphism, shaping today’s understanding of symmetry and field theory. 🔢✨
#OnThisDay #Math #Frobenius
Oct 25, 1811 — Évariste Galois was born.
A mathematical prodigy who founded Galois theory, he revealed the deep link between equations and symmetry—transforming algebra forever. He died at just 20, yet his ideas live on. ♟️📐
#OnThisDay #Mathematics #Galois
The black dots on side AB divide it into five equal segments.
Triangles ABC, CDF, and CEG are equilateral.
The area of triangle ABC is 5.
#mathpuzzle #Geometry #GeometricProblem
