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.
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数学桥”的传说在剑桥堪称无人不晓。又名牛顿桥。相传这是大数学家牛顿在剑桥教书时亲自设计并建造的。这是一个错误的，原因是：牛顿是不可能建造这座桥的。数学桥建于1749年，而牛顿则于1727年辞世。只能说剑桥大学的人对牛顿太过钟爱，总是把很多的故事与他相联。这座桥是由...
评分 评分原來我們平常使用的自然數系（即是計數）也是一個“默認”了的數系。 它由四條公理組成： 1、自然数系是一個集合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...
评分 评分原书很不错，但是译者的水平极低，自己都说还有些本科生参与翻译，我读的时候语言也是极其生硬，建议大家直接读原版，也建议一些“学者”本着认真负责的态度，要出书请出精品，不要坑人。这也是中国国情，真是让人桑心。
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