Authors: Teo Banica
This is an introduction to numbers, fractions, percentages and arithmetic. We first discuss what can be done with integers and their quotients, namely basic arithmetic, all sorts of counting results, and with a look into abstract algebra and quadratic residues too. We then upgrade our knowledge by introducing the real numbers, and exploring what can be done with them, in relation with number theory questions. Then we further upgrade our methods, by introducing and using the complex numbers. Finally, we provide an introduction to the zeta function, and the Riemann hypothesis.
Comments: 400 Pages.
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