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Grundlagen der Analysis

Foundations of Analysis

Edmund Landau, Grundlagen der Analysis (Das Rechnen mit ganzen, rationalen, irrationalen, komplexen Zahlen) — a supplement to textbooks on the differential and integral calculus, Akademische Verlagsgesellschaft M.B.H., Leipzig 1930.

Table of Contents

  • Preface — Preface for the Student / Preface for the Expert
  • Chapter 1. Natural Numbers — Axioms, Addition, Ordering, Multiplication
  • Chapter 2. Fractions — Definition and Equivalence, Ordering, Addition, Multiplication, Rational Numbers and Integers
  • Chapter 3. Cuts — Definition, Ordering, Addition, Multiplication, Rational Cuts and Integral Cuts
  • Chapter 4. Real Numbers — Definition, Ordering, Addition, Multiplication, Dedekind's Fundamental Theorem
  • Chapter 5. Complex Numbers — Definition, Addition, Multiplication, Subtraction, Division, Conjugates, Absolute Value, Sums and Products, Powers, Embedding of the Real Numbers

About This Translation

This English translation was machine-translated (LLM) from the German original and may contain errors. It is an original translation; the formulas are reproduced verbatim from the original.