Although higher mathematics is beautiful, natural and interconnected, to the uninitiated it can feel like an arbitrary mass of disconnected technical definitions, symbols, theorems and methods. An intellectual gulf needs to be crossed before a true, deep appreciation of mathematics can develop. This book bridges this mathematical gap. It focuses on the process of discovery as much as the content, leading the reader to a clear, intuitive understanding of how and why mathematics exists in the way it does. The narrative does not evolve along traditional subject lines: each topic develops from its simplest, intuitive starting point; complexity develops naturally via questions and extensions.Throughout, the book includes levels of explanation, discussion and passion rarely seen in traditional textbooks. The choice of material is similarly rich, ranging from number theory and the nature of mathematical thought to quantum mechanics and the history of mathematics. It rounds off with a selection of thought-provoking and stimulating exercises for the reader.
發表於2024-11-14
A Mathematical Bridge 2024 pdf epub mobi 電子書 下載
數學橋”的傳說在劍橋堪稱無人不曉。又名牛頓橋。相傳這是大數學傢牛頓在劍橋教書時親自設計並建造的。這是一個錯誤的,原因是:牛頓是不可能建造這座橋的。數學橋建於1749年,而牛頓則於1727年辭世。隻能說劍橋大學的人對牛頓太過鍾愛,總是把很多的故事與他相聯。這座橋是由...
評分看瞭《什麼是數學》後,再看這本書比較好。 《什麼是數學》很多都是從基礎的知識講起,真正是微積分的部分不算多。 當然,如果你看完瞭《托馬斯微積分》或者《普林斯頓微積分》再看這本書,那基本沒有什麼難度瞭。
評分 評分原來我們平常使用的自然數係(即是計數)也是一個“默認”瞭的數係。 它由四條公理組成: 1、自然數係是一個集閤N,它的元素稱為自然數,並有一個計數規則【+1】,這個+規則將n聯繫到另一個自然數,後者記作n+1,稱為n的後繼; 2、N包含一個最小元素1,它有這樣的性質:它不是...
評分圖書標籤: 數學 科普 數學史 Mathematics Math 英文原版 數學 數學閑書
A Mathematical Bridge 2024 pdf epub mobi 電子書 下載