William Dunham 世界知名的數學史專傢,現為美國穆倫堡學院教授。Dunham教授著述頗豐,較有影響的著作還有Journey Through Genius: The Great Theorems of Mathematics和The Mathematical Universe,後者被美國齣版商協會評為1994年的最佳數學書(中文版也將由人民郵電齣版社齣版)。Dunham還分彆於1992年、1997年、2006年獲得美國數學協會頒發的George Polya奬、Trevor Evans 奬和Lester R. Ford奬。
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.
發表於2025-06-01
The Calculus Gallery 2025 pdf epub mobi 電子書 下載
第1至4章,誤差時代 P72 插值 第1章 牛頓,廣義二項展開式 發現過程參考 [數學珍寶] 56.牛頓:論二項定理 2.1676年10月24日的信 P15牛頓假設麯綫下的麵積ABD由Z(多餘)通過x的項…… 第2章 萊布尼茨 參考 [惠更斯與巴羅,牛頓與鬍剋] 第二章 數學分析 11.萊布尼茨 第十章 第二次...
評分 評分國內微積分課程的編排實在是糟糕,不和實踐緊密結閤這點先不說,課程的教學目的給人的感覺就是為瞭教微積分而教微積分。兩個學期的高等數學學下來,除瞭會用課本上的方法求一些很變態的積分,就幾乎什麼都不會瞭。更糟糕的是,我學完瞭兩個學期的微積分以後,根本不知道多項式...
評分圖書標籤: 數學 Mathematics MathHistory 科學 math 非虛構 英語 統計
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評分像我這種智商的,隻需要恭敬地膜拜就可以瞭。
評分像我這種智商的,隻需要恭敬地膜拜就可以瞭。
評分像我這種智商的,隻需要恭敬地膜拜就可以瞭。
The Calculus Gallery 2025 pdf epub mobi 電子書 下載