Search Results - algebraic analysis

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    X marks the spot : the lost inheritance of mathematics / by Garfinkle, David, 1958-, Garfinkle, Richard

    Published 2021
    Table of Contents: “…-- Sticks and stones -- Abstraction, mistrust, and laziness -- Algebra, geometry, analysis : the mathematical mindsets -- Analytic geometry -- Calculus : motion and size -- The language of motion -- Sound, notes, and harmonics -- Probability and statistics -- Other geometries : not so straight, these sticks -- Algebra and the rise of abstraction -- The smith and the knight -- Building the theoretical universe -- Computers -- The theoretical universe of modern physics : toolkit included -- Math education & math in education.…”
    Taylor & Francis
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    Electronic eBook
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    An episodic history of mathematics mathematical culture through problem solving / by Krantz, Steven G. (Steven George), 1951-

    Published 2010
    Table of Contents: “…The ancient Greeks and the foundations of mathematics -- Zeno's paradox and the concept of limit -- The mystical mathematics of Hypatia -- The Islamic world and the development of algebra -- Cardano, Abel, Galois, and the solving of equations -- René Descartes and the idea of coordinates -- Pierre de Fermat and the invention of differential calculus -- The great Isaac Newton -- The complex numbers and the fundamental theorem of algebra -- Carl Friedrich Gauss: the prince of mathematics -- Sophie Germain and the attack on Fermat's last problem -- Cauchy and the foundations of analysis -- The prime numbers -- Dirichlet and how to count -- Bernhard Riemann and the geometry of surfaces -- Georg Cantor and the orders of infinity -- The number systems -- Henri Poincaré, child phenomenon -- Sonya Kovalevskaya and the mathematics of mechanics -- Emmy Noether and algebra -- Methods of proof -- Alan Turing and cryptography.…”
    An electronic book accessible through the World Wide Web; click to view
    Electronic eBook