Description

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We are familiar with numbers since our youth. We learn counting and arithmetic. But in this book you will learn about numbers in the context of mathematics. It shows how to define numbers and how basic facts about numbers can be proved. Within the context of mathematics numbers like real numbers, complex numbers, quaternions and octonions are created. Numbers which would never have arisen from everyday life. This book is a perfect first step in the world of mathematics. It includes the basic theory of sets and algebra on which the theory of numbers is solidly build.