# Essential Algebra: A Self-Teaching Guide

by Tim Hill

## Description

This no-nonsense guide provides students and self-learners with a clear and readable study of algebra’s most important ideas. Tim Hill’s distraction-free approach combines decades of tutoring experience with the proven methods of his Russian math teachers. The result: learn in a few weeks what conventional schools stretch into months.

- Teaches general principles that can be applied to a wide variety of problems.
- Avoids the mindless and excessive routine computations that characterize conventional textbooks.
- Treats algebra as a logically coherent discipline, not as a disjointed collection of techniques.
- Restores proofs to their proper place to remove doubt, convey insight, and encourage precise logical thinking.
- Omits digressions, excessive formalities, and repetitive exercises.
- Covers all the algebra needed to take a calculus course.
- Includes problems (with all solutions) that extend your knowledge rather than merely reinforce it.

## Contents

1. A Few Basics

2. Exponents

3. Polynomials

4. Factoring

5. Linear & Quadratic Equations

6. Inequalities & Absolute Values

7. Coordinates in a Plane

8. Functions & Graphs

9. Straight Lines

10. Circles

11. Parabolas

12. Types of Functions

13. Logarithms

14. Dividing Polynomials

15. Systems of Linear Equations

16. Geometric Progressions & Series

17. Arithmetic Progressions

18. Permutation & Combinations

19. The Binomial Theorem

20. Mathematical Induction

21. Solutions

## Excerpt

Amazon preview

## Purchase

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## Errata

Chapter 6, Problem 3, Change “*x*^{2} + 2*x* − 14 > 0” to “*x*^{2} + 2*x* − 15 > 0”. Corrected in ebook and print editions on 6-Apr-2018.

Chapter 9, Parallel and Perpendicular Lines, Change “*m*_{2}” to “−*m*_{2}” in the figure displaying perpendicular lines (labeled Figure 9.6 in the print edition). Corrected in ebook and print editions on 25-Apr-2018.

Chapter 11, Parabolas, Change “*P* = (*y*, *y*)” to “*P* = (*x*, *y*)” in the sentence below the first figure (labeled Figure 11.1 in the print edition). Corrected in ebook and print editions on 25-Apr-2018.