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Algebra and Number Theory

Lesson 31: Logarithms

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Solving the Cubic with Cardano

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Did Euler Know Quadratic Reciprocity?: New Insights from a Forgotten Work

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How to Improve a Math History Assignment

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Problems for Journey Through Genius: The Great Theorems of Mathematics

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A GeoGebra Rendition of One of Omar Khayyam's Solutions for a Cubic Equation

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Geometric Algebra in the Classroom

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Analysis and Translation of Raffaele Rubini's 1857 'Application of the Theory of Determinants: Note'

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Divisibility Tests: A History and User's Guide

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The Root of the Matter: Approximating Roots with the Greeks

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An Arabic Finger-reckoning Rule Appropriated for Proofs in Algebra

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Algebra Tiles Explorations of al-Khwārizmī’s Equation Types

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Ramanujan's Notebooks

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An Underdetermined Linear System for GPS

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Three Fermat Trails to Elliptic Curves

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Evolution of the Function Concept: A Brief Survey

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Euler and the Fundamental Theorem of Algebra

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Six Ways to Sum a Series

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A New Look at an Old Function, e^i?

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The Factorial Function and Generalizations

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Projective Geometry over \(F_1\) and the Gaussian Binomial Coefficients

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Pascal Matrices

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Associativity of the Secant Method

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Similarities in Irrationality Proofs for ?, ln2, ?(2), and ?(3)

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Absolutely Abnormal Numbers

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When Close is Close Enough

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Solving Equations, an Elegant Legacy

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Polynomial Equations and Convex Polytopes

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Sums of Powers of Integers

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A Case Study in Mathematical Research: The Golay-Rudin-Shapiro Sequence

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