Leseprobe
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The Calculus Gallery
William Dunham
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Naturwissenschaften, Medizin, Informatik, Technik / Mathematik
Beschreibung
More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway to higher mathematics. This book charts its growth and development by sampling from the work of some of its foremost practitioners, beginning with Isaac Newton and Gottfried Wilhelm Leibniz in the late seventeenth century and continuing to Henri Lebesgue at the dawn of the twentieth. Now with a new preface by the author, this book documents the evolution of calculus from a powerful but logically chaotic subject into one whose foundations are thorough, rigorous, and unflinching—a story of genius triumphing over some of the toughest, subtlest problems imaginable. In touring The Calculus Gallery, we can see how it all came to be.
Kundenbewertungen
Absolute value, Algebraic number, Differentiable function, Real analysis, Mathematician, Quantity, Theory, Infinity, Uniform convergence, Scientific notation, Series (mathematics), Dense set, Polynomial, Tangent, Division by zero, Augustin-Louis Cauchy, Countable set, Bounded function, Continuous function (set theory), Notation, Infinitesimal, Nowhere continuous function, Real number, Derivative, Mean value theorem, Continuous function, Geometric series, Measurable function, Westmont College, Riemann integral, Diagram (category theory), Infimum and supremum, Natural number, Fourier series, Georg Cantor, Rational number, Harmonic series (mathematics), Sign (mathematics), Pointwise, Upper and lower bounds, Counterexample, Baire category theorem, Intermediate value theorem, Mathematical analysis, Geometric progression, Theorem, Contradiction, Henri Lebesgue, Geometry, Set theory, Mathematics, Unit interval, Differential calculus, Q.E.D., Summation, Subset, Equation, Princeton University Press, Vito Volterra, Coefficient, Fundamental theorem, Lebesgue integration, Integer, Karl Weierstrass, Antiderivative, Transcendental number, Existential quantification, Interval (mathematics), Binomial theorem, Bernhard Riemann