Math & physics fan sharing simple, beautiful ideas—based on what I’ve learned from writing books. Clarity first, always. ✨

📘 Galois' Group Theory Explore the ideas behind Galois' remarkable insights into equations and symmetry. Discover the mathematical thinking that helped shape modern algebra. amazon.com/dp/B0DWXVS5VZ #Math #GaloisTheory
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ABCD and DEFG are squares. CE = 4 and HI = 8. Find the area of the shaded region. #mathpuzzle #Geometry #GeometricProblem
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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
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Two semicircles overlap. If AB = 2, find the area of the shaded region. #mathpuzzle #Geometry #GeometricProblem
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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
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Two semicircles, each with a radius of 2, overlap. Find the area of the shaded region. #mathpuzzle #Geometry #GeometricProblem
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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
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The figure shows a regular hexagon and a regular heptagon. How many times as large as angle x is angle y? #mathpuzzle #Geometry #GeometricProblem
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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
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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
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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
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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
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October 24, 1804 — Wilhelm Eduard Weber was born. A pioneer of electromagnetism, he co-invented the first electromagnetic telegraph with Gauss. The SI unit of magnetic flux, the weber, was later named in his honor for his foundational work. ⚡📡 #OnThisDay #Physics #Weber
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ABC and ADE are equilateral triangles. Given that BD = 2 and CD = 4, find CF. #mathpuzzle #Geometry #GeometricProblem
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October 23, 1908 — Ilya Frank was born. He shared the 1958 Nobel Prize in Physics for explaining Cherenkov radiation—light emitted when charged particles move faster than light in a medium. His work advanced high-energy physics. ⚡💡 #OnThisDay #Physics #Cherenkov
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October 23, 1905 — Felix Bloch was born. He unveiled how electrons move in crystals, laying the foundation of solid-state physics. 🧭💎 Nobel laureate and co-creator of NMR, his work echoes in today's MRI technology. #OnThisDay #Physics #Bloch
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Regular octagon. Find the area of the shaded region. #mathpuzzle #Geometry #GeometricProblem
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October 22, 1881 — Clinton Davisson was born. He shared the 1937 Nobel Prize in Physics for showing electron diffraction, confirming matter's wave nature. His work laid the foundation for quantum mechanics and modern electron microscopy. ⚛️🔬 #OnThisDay #Physics #Davisson
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As shown in the figure, OAB is a sector with a central angle of 150° and a radius of 4. The region bounded by chord AB and arc AB is folded along line BC. If ∠ABC = 20°, find the area of the shaded region. #mathpuzzle #Geometry #GeometricProblem
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AB=BC=CD=DA=AE=EF=FA. Find the measure of ∠BAE. #mathpuzzle #Geometry #GeometricProblem
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