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| − | http://scienceon.hani.co.kr/archives/13582
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| − | http://www.yes24.com/24/goods/4445918
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| − | 프랭크 윌첵 <The road to reality, Penrose> 리뷰 [http://t.co/nW2vRPQI http://libgen.info/view.php?id=218110]
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| − | <h5>preface</h5>
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| − | * 분수와 equivalence class 의 예
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| − | <h5>1 The roots of science</h5>
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| − | * the main thrust of this book has to do with the first of these mysteries: the remarkable relationship between mathematics and the actual behaviour of the physical world.
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| − | <h5>2 An ancient theorem and a modern question</h5>
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| − | * 피타고라스 정리
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| − | * [[곡면의 미분기하학과 리만기하학]]
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| − | * * homogeneity (every point the same) and isotropy (every direction the same),
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| − | <h5>3 Kinds of number in the physical world</h5>
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| − | * 실수<br>
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| − | ** p-adic number 를 안다면, 실수에 대해 더 많은 것을 생각할 수 있다
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| − | * 정수와 반입자<br>
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| − | ** In fact, according to 20th-century physics, there is now a certain sense in which it is meaningful to refer to a negative number of physical entities.
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| − | * 유리수와 물리의 관계는 아직 unclear
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| − | <h5>4 Magical complex numbers</h5>
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| − | * 복소수 소개
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| − | <h5>5 Geometry of logarithms, powers, and roots</h5>
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| − | <h5>6 Real-number calculus</h5>
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| − | <h5>7 Complex-number calculus</h5>
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| − | <h5>8 Riemann surfaces and complex mappings</h5>
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| − | <h5>9 Fourier decomposition and hyperfunctions</h5>
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| − | <h5>13</h5>
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| − | "according to modern physics, all physical interactions are governed by ‘gauge connections’ " 이 한마디를 위해 몇백페이지가 훌쩍
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| − | <h6>Calculus on manifolds</h6>
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