Branch: Number Systems and Arithmetics

Number systems and arithmetics is a branch of mathematics dealing with a formal clarification of what numbers are and in which domains numbers allow arithmetical operations like addition, subtraction, multiplication, and division. It also describes how these domains can be extended in a step-by-step manner by certain structural properties to allow such operations.

Theoretical minimum (in a nutshell)

Concepts you will learn in this part of BookofProofs

Explanations: 1

  1. Part: Natural Numbers
  2. Part: Integers
  3. Part: Rational Numbers
  4. Part: Irrational Numbers
  5. Part: Real Numbers
  6. Part: Complex Numbers
  7. Part: Solving Strategies and Sample Solutions Related to Arithmetics

Branches: 1
Chapters: 2
Definitions: 3 4
Explanations: 5 6
Motivations: 7 8
Parts: 9 10 11 12
Topics: 13

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  1. Reinhardt F., Soeder H.: "dtv-Atlas zur Mathematik", Deutsche Taschenbuch Verlag, 1994, 10th Edition