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1 (p1): Chapter 1 The Real and Complex Number Systems1 (p1-1): 1.1 Introduction1 (p1-2): 1.2 The field axioms2 (p1-3): 1.3 The order axioms3 (p1-4): 1.4 Geometric representation of real numbers3 (p1-5): 1.5 Intervals4 (p1-6): 1.6 Integers4 (p1-7): 1.7 The unique factorization theorem for integers6 (p1-8): 1.8 Rational numbers7 (p1-9): 1.9 Irrational numbers8 (p1-10): 1.10 Upper bounds,maximum element,least upper bound(supremum)9 (p1-11): 1.11 The completeness axiom9 (p1-12): 1.12 Some properties of the supremum10 (p1-13): 1.13 Properties of the integers deduced from the completeness axiom10 (p1-14): 1.14 The Archimedean property of the real-number system11 (p1-15): 1.15 Rational numbers with finite decimal representation11 (p1-16): 1.16 Finite decimal approximations to real numbers12 (p1-17): 1.17 Infinite decimal representation of real numbers12 (p1-18): 1.18 Absolute values and the triangle inequality13 (p1-19): 1.19 The Cauchy-Schwarz inequality14 (p1-20): 1.20 Plus and minus infinity and the extended real number svstem R15 (p1-21): 1.21 Complex numbers17 (p1-22): 1.22 Geometric representation of complex numbers18 (p1-23): 1.23 The imaginary unit18 (p1-24): 1.24 Absolute value o

Author

(美)阿波斯托尔著

Published

2004

Language

ZH