Schaum's Outline of College Algebra,9780070602663

Schaum's Outline of College Algebra

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Edition: 2nd
ISBN13: 9780070602663
ISBN10: 0070602662
Format: Paperback
Pub. Date: 1997-09-01
Publisher(s): McGraw-Hill
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Summary

Algebra, the foundation for all higher mathematics, is taught here both for beginners and for those who wish to review algebra for further work in math, science and engineering. This superior study guide­­the first edition sold more than 600,000 copies!­­includes the most current terminology, emphasis and technology. It treats many subjects more thoroughly than most texts, making it adaptable for any course and an excellent reference and bridge to further study. Also available as a Schaum's Electronic Tutor.

Table of Contents

PROBLEMS ALSO FOUND IN THE COMPANION SCHAUM'S ELECTRONIC TUTOR x
Chapter 1 FUNDAMENTAL OPERATIONS WITH NUMBERS
1(11)
1.1 Four Operations
1(1)
1.2 System of Real Numbers
1(1)
1.3 Graphical Representation of Real Numbers
2(1)
1.4 Properties of Addition and Multiplication of Real Numbers
2(1)
1.5 Rules of Signs
3(1)
1.6 Exponents and Powers
3(1)
1.7 Operations with Fractions
4(8)
Chapter 2 FUNDAMENTAL OPERATIONS WITH ALGEBRAIC EXPRESSIONS
12(10)
2.1 Algebraic Expressions
12(1)
2.2 Terms
12(1)
2.3 Degree
13(1)
2.4 Grouping
13(1)
2.5 Computation with Algebraic Expressions
13(9)
Chapter 3 PROPERTIES OF NUMBERS
22(5)
3.1 Sets of Numbers
22(1)
3.2 Properties
22(1)
3.3 Additional Properties
23(4)
Chapter 4 SPECIAL PRODUCTS
27(4)
4.1 Special Products
27(1)
4.2 Products Yielding Answers of the Form a(n) plus or minus b(n)
27(4)
Chapter 5 FACTORING
31(10)
5.1 Factoring
31(1)
5.2 Factorization Procedures
31(2)
5.3 Greatest Common Factor
33(1)
5.4 Least Common Multiple
33(8)
Chapter 6 FRACTIONS
41(7)
6.1 Rational Algebraic Fractions
41(1)
6.2 Operations with Algebraic Fractions
42(1)
6.3 Complex Fractions
43(5)
Chapter 7 EXPONENTS
48(10)
7.1 Positive Integral Exponent
48(1)
7.2 Negative Integral Exponent
48(1)
7.3 Roots
48(1)
7.4 Rational Exponents
49(1)
7.5 General Laws of Exponents
49(1)
7.6 Scientific Notation
50(8)
Chapter 8 RADICALS
58(9)
8.1 Radical Expressions
58(1)
8.2 Laws for Radicals
58(1)
8.3 Simplifying Radicals
58(1)
8.4 Operations with Radicals
59(1)
8.5 Rationalizing Binomial Denominators
60(7)
Chapter 9 SIMPLE OPERATIONS WITH COMPLEX NUMBERS
67(6)
9.1 Complex Numbers
67(1)
9.2 Graphical Representation of Complex Numbers
67(1)
9.3 Algebraic Operations with Complex Numbers
68(5)
Chapter 10 EQUATIONS IN GENERAL
73(8)
10.1 Equations
73(1)
10.2 Operations Used in Transforming Equations
73(1)
10.3 Equivalent Equations
74(1)
10.4 Formulas
74(1)
10.5 Polynomial Equations
74(7)
Chapter 11 RATIO, PROPORTION, AND VARIATION
81(8)
11.1 Ratio
81(1)
11.2 Proportion
81(1)
11.3 Variation
81(1)
11.4 Unit Price
82(1)
11.5 Best Buy
82(7)
Chapter 12 FUNCTIONS AND GRAPHS
89(24)
12.1 Variables
89(1)
12.2 Relations
89(1)
12.3 Functions
89(1)
12.4 Function Notation
90(1)
12.5 Rectangular Coordinate System
90(1)
12.6 Function of Two Variables
91(1)
12.7 Symmetry
91(1)
12.8 Shifts
92(1)
12.9 Scaling
93(1)
12.10 Using a Graphing Calculator
93(20)
Chapter 13 LINEAR EQUATIONS IN ONE VARIABLE
113(14)
13.1 Linear Equations
113(1)
13.2 Literal Equations
113(1)
13.3 Word Problems
113(14)
Chapter 14 EQUATIONS OF LINES
127(9)
14.1 Slope of a Line
127(1)
14.2 Parallel and Perpendicular Lines
127(1)
14.3 Slope-Intercept Form of Equation of a Line
128(1)
14.4 Slope-Point Form of Equation of a Line
129(1)
14.5 Two-Point Form of Equation of a Line
129(1)
14.6 Intercept Form of Equation of a Line
130(6)
Chapter 15 SIMULTANEOUS LINEAR EQUATIONS
136(13)
15.1 Systems of Two Linear Equations
136(1)
15.2 Systems of Three Linear Equations
137(12)
Chapter 16 QUADRATIC EQUATIONS IN ONE VARIABLE
149(18)
16.1 Quadratic Equations
149(1)
16.2 Methods of Solving Quadratic Equations
149(1)
16.3 Sum and Product of the Roots
150(1)
16.4 Nature of the Roots
151(1)
16.5 Radical Equations
151(1)
16.6 Quadratic-Type Equations
151(16)
Chapter 17 CONIC SECTIONS
167(21)
17.1 General Quadratic Equations
167(1)
17.2 Conic Sections
167(1)
17.3 Circles
168(1)
17.4 Parabolas
169(2)
17.5 Ellipses
171(4)
17.6 Hyperbolas
175(2)
17.7 Graphing Conic Sections with a Calculator
177(11)
Chapter 18 SYSTEMS OF EQUATIONS INVOLVING QUADRATICS
188(7)
18.1 Graphical Solution
188(1)
18.2 Algebraic Solution
188(7)
Chapter 19 INEQUALITIES
195(15)
19.1 Definitions
195(1)
19.2 Principles of Inequalities
195(1)
19.3 Absolute Value Inequalities
196(1)
19.4 Higher Degree Inequalities
196(1)
19.5 Linear Inequalities in Two Variables
197(1)
19.6 Systems of Linear Inequalities
198(1)
19.7 Linear Programming
199(11)
Chapter 20 POLYNOMIAL FUNCTIONS
210(21)
20.1 Polynomial Equations
210(1)
20.2 Zeros of Polynomial Equations
210(1)
20.3 Solving Polynomial Equations
211(2)
20.4 Approximating Real Zeros
213(18)
Chapter 21 RATIONAL FUNCTIONS
231(10)
21.1 Rational Functions
231(1)
21.2 Vertical Asymptotes
231(1)
21.3 Horizontal Asymptotes
231(1)
21.4 Graphing Rational Functions
232(1)
21.5 Graphing Rational Functions Using a Graphing Calculator
233(8)
Chapter 22 SEQUENCES AND SERIES
241(18)
22.1 Sequences
241(1)
22.2 Arithmetic Sequences
241(1)
22.3 Geometric Sequences
241(1)
22.4 Infinite Geometric Series
242(1)
22.5 Harmonic Sequences
242(1)
22.6 Means
242(17)
Chapter 23 LOGARITHMS
259(15)
23.1 Definition of a Logarithm
259(1)
23.2 Laws of Logarithms
259(1)
23.3 Common Logarithms
259(1)
23.4 Using a Common Logarithm Table
260(1)
23.5 Natural Logarithms
261(1)
23.6 Using a Natural Logarithm Table
261(2)
23.7 Finding Logarithms Using a Calculator
263(11)
Chapter 24 APPLICATIONS OF LOGARITHMS AND EXPONENTS
274(13)
24.1 Introduction
274(1)
24.2 Simple Interest
274(1)
24.3 Compound Interest
274(2)
24.4 Applications of Logarithms
276(1)
24.5 Applications of Exponents
277(10)
Chapter 25 PERMUTATIONS AND COMBINATIONS
287(16)
25.1 Fundamental Counting Principle
287(1)
25.2 Permutations
287(1)
25.3 Combinations
288(1)
25.4 Using a Calculator
289(14)
Chapter 26 THE BINOMIAL THEOREM
303(8)
26.1 Combinatorial Notation
303(1)
26.2 Expansion of (a + x)(n)
303(8)
Chapter 27 PROBABILITY
311(14)
27.1 Simple Probability
311(1)
27.2 Compound Probability
311(1)
27.3 Mathematical Expectation
312(1)
27.4 Binomial Probability
312(1)
27.5 Conditional Probability
312(13)
Chapter 28 DETERMINANTS AND SYSTEMS OF LINEAR EQUATIONS
325(10)
28.1 Determinants of Second Order
325(1)
28.2 Cramer's Rule
325(1)
28.3 Determinants of Third Order
326(9)
Chapter 29 DETERMINANTS OF ORDER n
335(18)
29.1 Inversion
335(1)
29.2 Determinants of Order n
335(1)
29.3 Properties of Determinants
336(1)
29.4 Minors
337(1)
29.5 Value of a Determinant
337(1)
29.6 Cramer's Rule
338(1)
29.7 Homogeneous Linear Equations
338(15)
Chapter 30 MATRICES
353(13)
30.1 Definition of a Matrix
353(1)
30.2 Operations with Matrices
353(2)
30.3 Elementary Row Operations
355(1)
30.4 Inverse of a Matrix
356(1)
30.5 Matrix Equations
357(1)
30.6 Matrix Solution of a System of Equations
357(9)
Chapter 31 MATHEMATICAL INDUCTION
366(6)
31.1 Principle of Mathematical Induction
366(1)
31.2 Proof by Mathematical Induction
366(6)
Chapter 32 PARTIAL FRACTIONS
372(7)
32.1 Rational Fractions
372(1)
32.2 Proper Fractions
372(1)
32.3 Partial Fractions
372(1)
32.4 Identically Equal Polynomials
372(1)
32.5 Fundamental Theorem
373(1)
32.6 Finding the Partial Fraction Decomposition
374(5)
Appendix A TABLE OF COMMON LOGARITHMS
379(3)
Appendix B TABLE OF NATURAL LOGARITHMS
382(3)
Appendix C SAMPLE SCREENS FROM THE COMPANION SCHAUM'S ELECTRONIC TUTOR 385(16)
INDEX 401

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