The first two chapters examine fields and ordered fields, followed by an introduction to natural numbers and mathematical induction. Subsequent chapters explore composite and prime numbers, integers and rational numbers, congruences and finite fields, and polynomials and rational functions. Additional topics include intervals and absolute value, the axiom of completeness, roots and rational exponents, exponents and logarithms, and decimal expansions. A helpful Appendix concludes the text.
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Summary
The first two chapters examine fields and ordered fields, followed by an introduction to natural numbers and mathematical induction. Subsequent chapters explore composite and prime numbers, integers and rational numbers, congruences and finite fields, and polynomials and rational functions. Additional topics include intervals and absolute value, the axiom of completeness, roots and rational exponents, exponents and logarithms, and decimal expansions. A helpful Appendix concludes the text.
Author Biography
Table of Contents
1. Fields
2. Ordered Fields
3. Natural Numbers and Mathematical Induction
4. Composite and Prime Numbers
5. Integers and Rational Numbers
6. Congruences and Finite Fields
7. Polynomials and Rational Functions
8. Intervals and Absolute Value
9. The Axiom of Completeness
10. Roots and Rational Exponents
11. Exponents and Logarithms
12. Decimal Expansions
Appendix
Answers to Problems
List of Special Symbols
Index
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