The Story of Mathematics
How did Archimedes raise the water level of the Nile River? Why did Catherine the Great and Euler conspire to banish Diderot from the Russian Court? Learn about Descartes' military career as well as his discovery of analytic geometry. Explore both the lives and remarkable careers of history's greatest mathematical legends. In the tradition of their acclaimed The Story of Physics, two renowned science writers - Lloyd Motz and Jefferson Hane Weaver - present a sweeping narrative that spans the glorious history of mathematics and paints vivid sketches of the most famous and prominent mathematicians through the centuries. These respected authors lead us from the birth of arithmetic through calculus and beyond. They delve into the intriguing theory of numbers, explore the challenges of probability theory, and reveal the wonders of the theory of relativity. The quest to impose a basic mathematical order on our daily lives began with the early Greeks and Alexandrians. In exciting and accessible prose, we rediscover the insights of the great mathematical minds beginning in antiquity with Euclid, through the mystical teachings of Pythagoras, and continuing with later geniuses such as Newton, Gauss, and Euler. The courage and daring of these innovative thinkers revolutionized our world and conferred an order and predictability to the universe. What is remarkable throughout this journey is how inextricably mathematics and physics are intertwined. Each subject depends upon and encourages the development of the other. Together they form a tapestry of knowledge that surpasses what either field could ever accomplish alone. What is the future of mathematics? Can it ever hope to achieve the heights it once reached during the Golden Age of Mathematics? Motz and Weaver successfully illustrate how the torch of knowledge and discovery can be passed on to a new, brilliant generation of mathematicians.
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The Early Greeks
The Origins of Arithmetic
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algebraic equation analysis analytic geometry angle applied Archimedes arithmetic astronomers axioms axis basic became body branches of mathematics calculus called Cantor Cartesian coordinate system Cauchy century circle coefficients complex numbers concept contributions coordinate system cosine curve deduced Descartes describe differential equation discovery distance dynamics Einstein entities equals Eric Temple Bell Euclid Euclidean geometry Euler example expressed Fermat formula four-dimensional fractions Galois Gauss gravity Greek Hilbert important infinite number infinite series infinitesimal integers introduced Kepler Lagrange Laplace laws of motion Leibnitz mathe mathematical physics mathematicians matics multiplied Newton Newton's laws Newtonian non-Euclidean geometry obtain operations optics orbit particle physicists plane polynomial principle probability theory problems pure mathematics Pythagoras quantum mechanics represent Riemann roots rotation simple sine solution solved space space-time straight line surface theorem theoretical physics theory of numbers theory of relativity tion triangle trigonometry universe vector