The Calculus Gallery: Masterpieces from Newton to Lebesgue

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More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway into higher mathematics. This book charts its growth and development by sampling from...
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More than three centuries after its creation, calculus remains a dazzling intellectual achievement and the gateway into 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 - mathematicians whose achievements are comparable to those of Bach in music or Shakespeare in literature. William Dunham lucidly presents the definitions, theorems, and proofs. Students of literature read Shakespeare; students of music listen to Bach, he writes. But, this tradition of studying the major works of the masters is, if not wholly absent, certainly uncommon in mathematics.This book seeks to redress that situation. Like a great museum, The Calculus Gallery is filled with masterpieces, among which are Bernoullis early attack upon the harmonic series (1689), Eulers brilliant approximation of pi (1779), Cauchys classic proof of the fundamental theorem of calculus (1823), Weierstrasss mind-boggling counterexample (1872), and Baires original category theorem (1899).
Uitgever John Wiley & Sons Ltd
Druk 1
ISBN/EAN 9780691136264
Auteur Ostreum, K.J. Murray, R.M.
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