Mathematics: The Man-made Universe
ขอลอกคำนำ 4 ย่อหน้าแรกมาให้อ่านเพื่อแนะนำหนังสือเล่มนี้ ผู้เขียนเขียนแนะนำไว้ดึงดูดและน่าสนใจดีครับ และในฐานะผู้อ่าน ผมขอยืนยันตามนั้น
We all find ourselves in a world we never made. Though we get used to the kitchen sink, we do not understand the atoms which compose it. The kitchen sink, like all the objects surrounding us, is a convenient abstraction.
Mathematics, on the other hand, is completely the work of man. Each theorm, each proof, is the product of the human mind. In mathematics all the cards can be put on the table. In this sense, mathematics is concrete, whereas the world is abstact.
This book exploits that concretness to introduces the general reader to mathematics. The "general reader" might be either the college student or the high school student, whatever his special interest might be, or the curious adult. This book grew out of a college course designed primarily to give students in many fields an appreciation of the beauty, extent, and vitality of mathematics. I had searched several years for a suitable text, but those I found were either too advanced or too specialized.
The subjects, chosen from number theory, topology, set theory, geometry, algebra, and analysis, can be presented to the reader having little mathematical background (some chapters use only grammar school arithmetic). Each topic illustrates some significant idea and lends itself easily to experiments and problems.
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