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Schaum's Outline of College Algebra, 3/e

by: Speigel, Murray R.

Schaum's Outline of College Algebra, 3/e

by: Speigel, Murray R.

ISBN 13:
9780071452274
ISBN 10:
0071452273
Edition: 3rd
Format: Paperback
Copyright: 12/14/2005
Publisher: McGraw-Hill
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Summary

Students love Schaum's Outlines because they produce results. Each year, hundreds of thousands of students improve their test scores and final grades with these indispensable study guides.

Fundamental Operations with Numbers

(11)

Four Operations

(1)

System of Real Numbers

(1)

Graphical Representation of Real Numbers

(1)

Properties of Addition and Multiplication of Real Numbers

(1)

Rules of Signs

(1)

Exponents and Powers

(1)

Operations with Fractions

(8)

Fundamental Operations with Algebraic Expressions

(10)

Algebraic Expressions

(1)

Terms

(1)

Degree

(1)

Grouping

(1)

Computation with Algebraic Expressions

(9)

Properties of Numbers

(5)

Sets of Numbers

(1)

Properties

(1)

Additional Properties

(4)

Special Products

(5)

Special Products

(1)

Products Yielding Answers of the Form an ± bn

(4)

Factoring

(9)

Factoring

(1)

Factorization Procedures

(1)

Greatest Common Factor

(1)

Least Common Multiple

(7)

Fractions

(7)

Rational Algebraic Fractions

(1)

Operations with Algebraic Fractions

(1)

Complex Fractions

(5)

Exponents

(10)

Positive Integral Exponent

(1)

Negative Integral Exponent

(1)

Roots

(1)

Rational Exponents

(1)

General Laws of Exponents

(1)

Scientific Notation

(8)

Radicals

(9)

Radical Expressions

(1)

Laws for Radicals

(1)

Simplifying Radicals

(1)

Operations with Radicals

(1)

Rationalizing Binomial Denominators

(7)

Simple Operations with Complex Numbers

(6)

Complex Numbers

(1)

Graphical Representation of Complex Numbers

(1)

Algebraic Operations with Complex Numbers

(5)

Equations in General

(8)

Equations

(1)

Operations Used in Transforming Equations

(1)

Equivalent Equations

(1)

Formulas

(1)

Polynomial Equations

(6)

Ratio, Proportion, and Variation

(8)

Ratio

(1)

Proportion

(1)

Variation

(1)

Unit Price

(1)

Best Buy

(7)

Functions and Graphs

(25)

Variables

(1)

Relations

(1)

Functions

(1)

Function Notation

(1)

Rectangular Coordinate System

(1)

Function of Two Variables

(1)

Symmetry

(1)

Shifts

(1)

Scaling

(1)

Using a Graphing Calculator

(21)

Linear Equations in One Variable

114

(14)

Linear Equations

114

(1)

Literal Equations

114

(1)

Word Problems

115

(13)

Equations of Lines

128

(9)

Slope of a Line

128

(1)

Parallel and Perpendicular Lines

129

(1)

Slope--Intercept form of Equation of a Line

130

(1)

Slope--Point Form of Equation of a Line

130

(1)

Two--point Form of Equation of a Line

130

(1)

Intercept Form of Equation of a Line

131

(6)

Simultaneous Linear Equations

137

(13)

Systems of Two Linear Equations

137

(1)

Systems of Three Linear Equations

138

(12)

Quadratic Equations in One Variable

150

(19)

Quadratic Equations

150

(1)

Methods of Solving Quadratic Equations

150

(2)

Sum and Product of the Roots

152

(1)

Nature of the Roots

152

(1)

Radical Equations

152

(1)

Quadratic-type Equations

153

(16)

Conic Sections

169

(22)

General Quadratic Equations

169

(1)

Conic Sections

170

(1)

Circles

170

(1)

Parabolas

171

(2)

Ellipses

173

(4)

Hyperbolas

177

(3)

Graphing Conic Sections with a Calculator

180

(11)

Systems of Equations Involving Quadratics

191

(8)

Graphical Solution

191

(1)

Algebraic Solution

191

(8)

Inequalities

199

(15)

Definitions

199

(1)

Principles of Inequalities

199

(1)

Absolute Value Inequalities

200

(1)

Higher Degree Inequalities

200

(2)

Linear Inequalities in Two Variables

202

(1)

Systems of Linear Inequalities

202

(1)

Linear Programming

203

(11)

Polynomial Functions

214

(21)

Polynomial Equations

214

(1)

Zeros of Polynomial Equations

214

(2)

Solving Polynomial Equations

216

(2)

Approximating Real Zeros

218

(17)

Rational Functions

235

(10)

Rational Functions

235

(1)

Vertical Asymptotes

235

(1)

Horizontal Asymptotes

235

(1)

Graphing Rational Functions

236

(2)

Graphing Rational Functions using a Graphing Calculator

238

(7)

Sequences and Series

245

(18)

Sequences

245

(1)

Arithmetic Sequences

245

(1)

Geometric Sequences

245

(1)

Infinite Geometric Series

246

(1)

Harmonic Sequences

246

(1)

Means

246

(17)

Logarithms

263

(13)

Definition of a Logarithm

263

(1)

Laws of Logarithms

263

(1)

Common Logarithms

264

(1)

Using a Common Logarithm Table

264

(1)

Natural Logarithms

265

(1)

Using a Natural Logarithm Table

265

(1)

Finding Logarithms Using a Calculator

266

(10)

Applications of Logarithms and Exponents

276

(12)

Introduction

276

(1)

Simple Interest

276

(1)

Compound Interest

277

(1)

Applications of Logarithms

278

(2)

Applications of Exponents

280

(8)

Permutations and Combinations

288

(15)

Fundamental Counting Principle

288

(1)

Permutations

288

(1)

Combinations

289

(1)

Using a Calculator

290

(13)

The Binomial Theorem

303

(7)

Combinatorial Notation

303

(1)

Expansion of (a + x)n

303

(7)

Probability

310

(13)

Simple Probability

310

(1)

Compound Probability

310

(1)

Mathematical Expectation

311

(1)

Binomial Probability

311

(1)

Conditional Probability

311

(12)

Determinants

323

(26)

Determinants of Second Order

323

(1)

Cramer's Rule

323

(1)

Determinants of Third Order

324

(2)

Determinants of Order n

326

(1)

Properties of Determinants

327

(1)

Minors

328

(1)

Value of a Determinant of Order n

328

(1)

Cramer's Rule for Determinants of Order n

328

(1)

Homogeneous Linear Equations

329

(20)

Matrices

349

(13)

Definition of a Matrix

349

(1)

Operations With Matrices

349

(2)

Elementary Row Operations

351

(1)

Inverse of a Matrix

352

(1)

Matrix Equations

353

(1)

Matrix Solution of a System of Equations

354

(8)

Mathematical Induction

362

(6)

Principle of Mathematical Induction

362

(1)

Proof by Mathematical Induction

362

(6)

Partial Fractions

368

(7)

Rational Fractions

368

(1)

Proper Fractions

368

(1)

Partial Fractions

368

(1)

Identically Equal Polynomials

369

(1)

Fundamental Theorem

369

(1)

Finding the Partial Fraction Decomposition

370

(5)

Appendix A Table of Common Logarithms

375

(4)

Appendix B Table of Natural Logarithms

379

(4)

Index

383

Amazon no longer offers textbook rentals. We do!

Schaum's Outline of College Algebra, 3/e

Schaum's Outline of College Algebra, 3/e

9780071452274

0071452273

Summary

Author Biography

Table of Contents

Supplemental Materials

Write a Review

Amazon no longer offers textbook rentals. We do!

Schaum's Outline of College Algebra, 3/e

Schaum's Outline of College Algebra, 3/e

9780071452274

0071452273

Summary

Author Biography

Table of Contents

Supplemental Materials

Write a Review

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