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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小碗豆先生说本书翻译质量极低，恐怕失之偏颇。国内的数学普及书，能翻到这个样子，已经是不错的了。何况原著中那许多低级和不那么低级的差错，都由译校者以脚注的形式做了纠正。如果看原著，那么第一，毕竟不是母语，估计大多数人还是比较吃力的；第二，原著中那些差错，还得...
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 评分小碗豆先生说本书翻译质量极低，恐怕失之偏颇。国内的数学普及书，能翻到这个样子，已经是不错的了。何况原著中那许多低级和不那么低级的差错，都由译校者以脚注的形式做了纠正。如果看原著，那么第一，毕竟不是母语，估计大多数人还是比较吃力的；第二，原著中那些差错，还得...
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