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Dunham, William Wade was born on December 8, 1947 in Pittsburgh. Son of Wade Harold and Claramae (Hieber) Dunham.
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(Leonhard Euler was one of the most prolific mathematician...)
Leonhard Euler was one of the most prolific mathematicians that have ever lived. This book examines the huge scope of mathematical areas explored and developed by Euler, which includes number theory, combinatorics, geometry, complex variables and many more. The information known to Euler over 300 years ago is discussed, and many of his advances are reconstructed. Readers will be left in no doubt about the brilliance and pervasive influence of Euler's work.
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( More than three centuries after its creation, calculus ...)
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 Bernoulli's early attack upon the harmonic series (1689), Euler's brilliant approximation of pi (1779), Cauchy's classic proof of the fundamental theorem of calculus (1823), Weierstrass's mind-boggling counterexample (1872), and Baire's original "category theorem" (1899). Collectively, these selections document 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, most subtle problems imaginable. Anyone who has studied and enjoyed calculus will discover in these pages the sheer excitement each mathematician must have felt when pushing into the unknown. In touring The Calculus Gallery, we can see how it all came to be.
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Dunham, William Wade was born on December 8, 1947 in Pittsburgh. Son of Wade Harold and Claramae (Hieber) Dunham.
Bachelor of Science, University Pittsburgh, 1969. Master of Science, Ohio State University, 1970. Doctor of Philosophy, Ohio State University, 1974.
Lecturer mathematics, Ohio State University, Columbus, 1974-1975; visiting associate professor, Ohio State University, Columbus, 1987-1989; assistant professor, Hanover (Indiana) College, 1975-1981; associate professor, Hanover (Indiana) College, 1981-1990; professor, Hanover (Indiana) College, 1990-1992; Koehler professor of math, Muhlenberg College, since 1992. Seminar director National Endowment for Humanities, Washington, 1988, 90, 92, 94, 96.
(本书将两千多年的数学发展历程融为十二章内容,每章都包含了三个基本组成部分,即历史背景、人物传记以及在这些“数学杰作...)
( More than three centuries after its creation, calculus ...)
(Leonhard Euler was one of the most prolific mathematician...)
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Member American Association of University Professors, Mathematics Association American, National Council Teachers Mathematics Phi Beta Kappa, Sigma Xi.
Married Penelope Higgins, September 26, 1970. Children: Brendan H., Shannon S.