Appendices

A: Field Properties

Properties of Equality

Properties of Real Numbers

B: Complex Numbers

C: Mathematical Induction

D: Binomial Theorem

Binomial Theorem

E: Determinants and Cramer's Rule

Determinants

Properties of Determinants

F: Library of Curves and Surfaces

G: Answers

Appendix A: Field Properties

To study mathematics, it is worthwhile to state the assumptions used in this course. It is not our intent to rigorously develop the material in the book, but it is important to present some of the terminology you will find in the book.

Properties of Equality

In Table 1.1, we presented the sets of numbers used in this text, and in Section 1.1 we stated the property of comparison (trichotomy), which requires that for any two real numbers ...

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