Math 3040 : Spring 2009 The Rational Numbers
نویسنده
چکیده
1. The Set Q 1 2. Addition and multiplication of rational numbers 4 2.1. Definitions and properties. 4 2.2. Comments 7 2.3. Connections with Z. 9 2.4. Better notation. 10 2.5. Solving the equations Ea,b and Ma,b. 12 3. Ordering the rational numbers 13 4. Sequences and limits in Q 18 5. Non-convergent Cauchy sequences of rationals 20 5.1. An irrational sequence of rationals 20 5.2. An irrational sequence in Q that is not algebraic 23 6. Extending Q to the real and complex numbers: a summary 26 6.1. The real numbers R 26 6.2. The complex numbers C 29
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تاریخ انتشار 2009