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Part I: Explanatory Treatment 1. Counting 2. Whole Numbers 3. The Laws of Arithmetic 4. Fractions 5. Negative Numbers 6. Fields 7. Irrational Numbers 8. Powers 9. Complex Numbers 10. Verification of the Axioms 11. Alternative Treatments Part II: Systematic Treatment 1. Whole Numbers 2. Hemigroups and Groups 3. Integers 4. Fields 5. Rational Numbers 6. Ordered Fields 7. The Order-Relation for Rationals 8. Exponentiation 9. Cauchy Numbers 10. Real Numbers 11. Complex Numbers Bibliography Key to the Exercises Index