College Algebra / Edition 3

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Overview

Confusing Textbooks? Missed Lectures? Not Enough Time?

Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.

This Schaum's Outline gives you


•Practice problems with full explanations that reinforce knowledge


•Coverage of the most up-to-date developments in your course field


•In-depth review of practices and applications

Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!

Schaum's Outlines-Problem Solved.

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Product Details

  • ISBN-13: 9780071452274
  • Publisher: McGraw-Hill Companies, The
  • Publication date: 12/14/2005
  • Series: Schaum's Outline Series
  • Edition number: 3
  • Pages: 376
  • Product dimensions: 8.10 (w) x 10.80 (h) x 0.60 (d)

Meet the Author

Murray R. Spiegel, Ph.D., was a professor and chairman of the mathematics department at Rensselaer Polytechnic Institute, in Troy, New York. Robert E. Moyer, Ph.D. is a professor of mathematics at Southwest Minnesota State University in, Marshall.

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Table of Contents

Chapter 1 Fundamental Operations with Numbers 1
1.1 Four Operations 1
1.2 System of Real Numbers 2
1.3 Graphical Representation of Real Numbers 2
1.4 Properties of Addition and Multiplication of Real Numbers 3
1.5 Rules of Signs 3
1.6 Exponents and Powers 4
1.7 Operations with Fractions 4
Chapter 2 Fundamental Operations with Algebraic Expressions 12
2.1 Algebraic Expressions 12
2.2 Terms 12
2.3 Degree 13
2.4 Grouping 13
2.5 Computation with Algebraic Expressions 13
Chapter 3 Properties of Numbers 22
3.1 Sets of Numbers 22
3.2 Properties 22
3.3 Additional Properties 23
Chapter 4 Special Products 27
4.1 Special Products 27
4.2 Products Yielding Answers of the Form a[superscript n plus or minus]b[superscript n] 28
Chapter 5 Factoring 32
5.1 Factoring 32
5.2 Factorization Procedures 33
5.3 Greatest Common Factor 34
5.4 Least Common Multiple 34
Chapter 6 Fractions 41
6.1 Rational Algebraic Fractions 41
6.2 Operations with Algebraic Fractions 42
6.3 Complex Fractions 43
Chapter 7 Exponents 48
7.1 Positive Integral Exponent 48
7.2 Negative Integral Exponent 48
7.3 Roots 48
7.4 Rational Exponents 49
7.5 General Laws of Exponents 49
7.6 Scientific Notation 50
Chapter 8 Radicals 58
8.1 Radical Expressions 58
8.2 Laws for Radicals 58
8.3 Simplifying Radicals 58
8.4 Operations with Radicals 59
8.5 Rationalizing Binomial Denominators 60
Chapter 9 Simple Operations with Complex Numbers 67
9.1 Complex Numbers 67
9.2 Graphical Representation of Complex Numbers 67
9.3 Algebraic Operations with Complex Numbers 68
Chapter 10 Equations in General 73
10.1 Equations 73
10.2 Operations Used in Transforming Equations 73
10.3 Equivalent Equations 74
10.4 Formulas 74
10.5 Polynomial Equations 75
Chapter 11 Ratio, Proportion, and Variation 81
11.1 Ratio 81
11.2 Proportion 81
11.3 Variation 81
11.4 Unit Price 82
11.5 Best Buy 82
Chapter 12 Functions and Graphs 89
12.1 Variables 89
12.2 Relations 89
12.3 Functions 89
12.4 Function Notation 90
12.5 Rectangular Coordinate System 90
12.6 Function of Two Variables 91
12.7 Symmetry 91
12.8 Shifts 92
12.9 Scaling 93
12.10 Using a Graphing Calculator 93
Chapter 13 Linear Equations in One Variable 114
13.1 Linear Equations 114
13.2 Literal Equations 114
13.3 Word Problems 115
Chapter 14 Equations of Lines 128
14.1 Slope of a Line 128
14.2 Parallel and Perpendicular Lines 129
14.3 Slope-Intercept form of Equation of a Line 130
14.4 Slope-Point Form of Equation of a Line 130
14.5 Two-point Form of Equation of a Line 130
14.6 Intercept Form of Equation of a Line 131
Chapter 15 Simultaneous Linear Equations 137
15.1 Systems of Two Linear Equations 137
15.2 Systems of Three Linear Equations 138
Chapter 16 Quadratic Equations in One Variable 150
16.1 Quadratic Equations 150
16.2 Methods of Solving Quadratic Equations 150
16.3 Sum and Product of the Roots 152
16.4 Nature of the Roots 152
16.5 Radical Equations 152
16.6 Quadratic-type Equations 153
Chapter 17 Conic Sections 169
17.1 General Quadratic Equations 169
17.2 Conic Sections 170
17.3 Circles 170
17.4 Parabolas 171
17.5 Ellipses 173
17.6 Hyperbolas 177
17.7 Graphing Conic Sections with a Calculator 180
Chapter 18 Systems of Equations Involving Quadratics 191
18.1 Graphical Solution 191
18.2 Algebraic Solution 191
Chapter 19 Inequalities 199
19.1 Definitions 199
19.2 Principles of Inequalities 199
19.3 Absolute Value Inequalities 200
19.4 Higher Degree Inequalities 200
19.5 Linear Inequalities in Two Variables 202
19.6 Systems of Linear Inequalities 202
19.7 Linear Programming 203
Chapter 20 Polynomial Functions 214
20.1 Polynomial Equations 214
20.2 Zeros of Polynomial Equations 214
20.3 Solving Polynomial Equations 216
20.4 Approximating Real Zeros 218
Chapter 21 Rational Functions 235
21.1 Rational Functions 235
21.2 Vertical Asymptotes 235
21.3 Horizontal Asymptotes 235
21.4 Graphing Rational Functions 236
21.5 Graphing Rational Functions using a Graphing Calculator 238
Chapter 22 Sequences and Series 245
22.1 Sequences 245
22.2 Arithmetic Sequences 245
22.3 Geometric Sequences 245
22.4 Infinite Geometric Series 246
22.5 Harmonic Sequences 246
22.6 Means 246
Chapter 23 Logarithms 263
23.1 Definition of a Logarithm 263
23.2 Laws of Logarithms 263
23.3 Common Logarithms 264
23.4 Using a Common Logarithm Table 264
23.5 Natural Logarithms 265
23.6 Using a Natural Logarithm Table 265
23.7 Finding Logarithms Using a Calculator 266
Chapter 24 Applications of Logarithms and Exponents 276
24.1 Introduction 276
24.2 Simple Interest 276
24.3 Compound Interest 277
24.4 Applications of Logarithms 278
24.5 Applications of Exponents 280
Chapter 25 Permutations and Combinations 288
25.1 Fundamental Counting Principle 288
25.2 Permutations 288
25.3 Combinations 289
25.4 Using a Calculator 290
Chapter 26 The Binomial Theorem 303
26.1 Combinatorial Notation 303
26.2 Expansion of (a + x)[superscript n] 303
Chapter 27 Probability 310
27.1 Simple Probability 310
27.2 Compound Probability 310
27.3 Mathematical Expectation 311
27.4 Binomial Probability 311
27.5 Conditional Probability 311
Chapter 28 Determinants 323
28.1 Determinants of Second Order 323
28.2 Cramer's Rule 323
28.3 Determinants of Third Order 324
28.4 Determinants of Order n 326
28.5 Properties of Determinants 327
28.6 Minors 328
28.7 Value of a Determinant of Order n 328
28.8 Cramer's Rule for Determinants of Order n 328
28.9 Homogeneous Linear Equations 329
Chapter 29 Matrices 349
29.1 Definition of a Matrix 349
29.2 Operations With Matrices 349
29.3 Elementary Row Operations 351
29.4 Inverse of a Matrix 352
29.5 Matrix Equations 353
29.6 Matrix Solution of a System of Equations 354
Chapter 30 Mathematical Induction 362
30.1 Principle of Mathematical Induction 362
30.2 Proof by Mathematical Induction 362
Chapter 31 Partial Fractions 368
31.1 Rational Fractions 368
31.2 Proper Fractions 368
31.3 Partial Fractions 368
31.4 Identically Equal Polynomials 369
31.5 Fundamental Theorem 369
31.6 Finding the Partial Fraction Decomposition 370
Appendix A Table of Common Logarithms 375
Appendix B Table of Natural Logarithms 379
Index 383
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Sort by: Showing all of 4 Customer Reviews
  • Posted August 29, 2009

    Better than the textbook

    It is a shame that I needed this book, but I did. It saved my bacon.

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  • Anonymous

    Posted December 13, 2007

    I would not get another book by this author

    This book was very hard to follow....I quit after chapter 4 there was not much explanation for the different subjects

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    Posted May 14, 2010

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