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The mathematics of infinity: a guide to great ideas
Preface. 1. Elementary Set Theory. 1.1 Sets. 1.2 Cartesian Products. 1.3 Power Sets. 1.4 Something From Nothing. 1.5 Indexed Families of Sets. 2. Functions. 2.1 Functional Preliminaries. 2.2 Images and Preimages. 2.3 One-to-one and Onto . 2.4 Bijections. 2.5 Inverse Functions. 3. Counting Infinite Sets. 3.1 Finite Sets. 3.2 Hilbert's …