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2024-11-27
A Mathematical Bridge 2024 pdf epub mobi 電子書 下載
小碗豆先生說本書翻譯質量極低,恐怕失之偏頗。國內的數學普及書,能翻到這個樣子,已經是不錯的瞭。何況原著中那許多低級和不那麼低級的差錯,都由譯校者以腳注的形式做瞭糾正。如果看原著,那麼第一,畢竟不是母語,估計大多數人還是比較吃力的;第二,原著中那些差錯,還得...
評分 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...
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