Schaum's Outline of College Algebra, 3/e

Name: Schaum's Outline of College Algebra, 3/e
Price: 3.15 USD
Availability: InStock
ISBN: 9780071452274

ISBN-10: 0071452273

ISBN-13: 9780071452274

Edition: 3rd 2006 (Revised)

Authors: Murray R. Spiegel, Robert E. Moyer

List price: $18.95

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Description:

'Schaum's Outline of College Algebra' has been updated to reflect changes in terminology and technology since the previous edition, and also provides a greater emphasis on graphing calculators, material is clearer on logarithms and determinants, and a simplified review of fractions is included.

Book details

List price: $18.95
Edition: 3rd
Copyright year: 2006
Publisher: McGraw-Hill Companies, The
Binding: Paperback
Pages: 408
Size: 8.00" wide x 10.50" long x 0.75" tall
Weight: 1.496
Language: English

Murray Speigel, Ph.D., was Former Professor and Chairman of the Mathematics Department at Rensselaer Polytechnic Institute, Hartford Graduate Center.

McGraw-Hill authors represent the leading experts in their fields and are dedicated to improving the lives, careers, and interests of readers worldwide

Fundamental Operations with Numbers	p. 1
Four Operations	p. 1
System of Real Numbers	p. 2
Graphical Representation of Real Numbers	p. 2
Properties of Addition and Multiplication of Real Numbers	p. 3
Rules of Signs	p. 3
Exponents and Powers	p. 4
Operations with Fractions	p. 4
Fundamental Operations with Algebraic Expressions	p. 12
Algebraic Expressions	p. 12
Terms	p. 12
Degree	p. 13
Grouping	p. 13
Computation with Algebraic Expressions	p. 13
Properties of Numbers	p. 22
Sets of Numbers	p. 22
Properties	p. 22
Additional Properties	p. 23
Special Products	p. 27
Special Products	p. 27
Products Yielding Answers of the Form a[superscript n plus or minus]b[superscript n]	p. 28
Factoring	p. 32
Factoring	p. 32
Factorization Procedures	p. 33
Greatest Common Factor	p. 34
Least Common Multiple	p. 34
Fractions	p. 41
Rational Algebraic Fractions	p. 41
Operations with Algebraic Fractions	p. 42
Complex Fractions	p. 43
Exponents	p. 48
Positive Integral Exponent	p. 48
Negative Integral Exponent	p. 48
Roots	p. 48
Rational Exponents	p. 49
General Laws of Exponents	p. 49
Scientific Notation	p. 50
Radicals	p. 58
Radical Expressions	p. 58
Laws for Radicals	p. 58
Simplifying Radicals	p. 58
Operations with Radicals	p. 59
Rationalizing Binomial Denominators	p. 60
Simple Operations with Complex Numbers	p. 67
Complex Numbers	p. 67
Graphical Representation of Complex Numbers	p. 67
Algebraic Operations with Complex Numbers	p. 68
Equations in General	p. 73
Equations	p. 73
Operations Used in Transforming Equations	p. 73
Equivalent Equations	p. 74
Formulas	p. 74
Polynomial Equations	p. 75
Ratio, Proportion, and Variation	p. 81
Ratio	p. 81
Proportion	p. 81
Variation	p. 81
Unit Price	p. 82
Best Buy	p. 82
Functions and Graphs	p. 89
Variables	p. 89
Relations	p. 89
Functions	p. 89
Function Notation	p. 90
Rectangular Coordinate System	p. 90
Function of Two Variables	p. 91
Symmetry	p. 91
Shifts	p. 92
Scaling	p. 93
Using a Graphing Calculator	p. 93
Linear Equations in One Variable	p. 114
Linear Equations	p. 114
Literal Equations	p. 114
Word Problems	p. 115
Equations of Lines	p. 128
Slope of a Line	p. 128
Parallel and Perpendicular Lines	p. 129
Slope-Intercept form of Equation of a Line	p. 130
Slope-Point Form of Equation of a Line	p. 130
Two-point Form of Equation of a Line	p. 130
Intercept Form of Equation of a Line	p. 131
Simultaneous Linear Equations	p. 137
Systems of Two Linear Equations	p. 137
Systems of Three Linear Equations	p. 138
Quadratic Equations in One Variable	p. 150
Quadratic Equations	p. 150
Methods of Solving Quadratic Equations	p. 150
Sum and Product of the Roots	p. 152
Nature of the Roots	p. 152
Radical Equations	p. 152
Quadratic-type Equations	p. 153
Conic Sections	p. 169
General Quadratic Equations	p. 169
Conic Sections	p. 170
Circles	p. 170
Parabolas	p. 171
Ellipses	p. 173
Hyperbolas	p. 177
Graphing Conic Sections with a Calculator	p. 180
Systems of Equations Involving Quadratics	p. 191
Graphical Solution	p. 191
Algebraic Solution	p. 191
Inequalities	p. 199
Definitions	p. 199
Principles of Inequalities	p. 199
Absolute Value Inequalities	p. 200
Higher Degree Inequalities	p. 200
Linear Inequalities in Two Variables	p. 202
Systems of Linear Inequalities	p. 202
Linear Programming	p. 203
Polynomial Functions	p. 214
Polynomial Equations	p. 214
Zeros of Polynomial Equations	p. 214
Solving Polynomial Equations	p. 216
Approximating Real Zeros	p. 218
Rational Functions	p. 235
Rational Functions	p. 235
Vertical Asymptotes	p. 235
Horizontal Asymptotes	p. 235
Graphing Rational Functions	p. 236
Graphing Rational Functions using a Graphing Calculator	p. 238
Sequences and Series	p. 245
Sequences	p. 245
Arithmetic Sequences	p. 245
Geometric Sequences	p. 245
Infinite Geometric Series	p. 246
Harmonic Sequences	p. 246
Means	p. 246
Logarithms	p. 263
Definition of a Logarithm	p. 263
Laws of Logarithms	p. 263
Common Logarithms	p. 264
Using a Common Logarithm Table	p. 264
Natural Logarithms	p. 265
Using a Natural Logarithm Table	p. 265
Finding Logarithms Using a Calculator	p. 266
Applications of Logarithms and Exponents	p. 276
Introduction	p. 276
Simple Interest	p. 276
Compound Interest	p. 277
Applications of Logarithms	p. 278
Applications of Exponents	p. 280
Permutations and Combinations	p. 288
Fundamental Counting Principle	p. 288
Permutations	p. 288
Combinations	p. 289
Using a Calculator	p. 290
The Binomial Theorem	p. 303
Combinatorial Notation	p. 303
Expansion of (a + x)[superscript n]	p. 303
Probability	p. 310
Simple Probability	p. 310
Compound Probability	p. 310
Mathematical Expectation	p. 311
Binomial Probability	p. 311
Conditional Probability	p. 311
Determinants	p. 323
Determinants of Second Order	p. 323
Cramer's Rule	p. 323
Determinants of Third Order	p. 324
Determinants of Order n	p. 326
Properties of Determinants	p. 327
Minors	p. 328
Value of a Determinant of Order n	p. 328
Cramer's Rule for Determinants of Order n	p. 328
Homogeneous Linear Equations	p. 329
Matrices	p. 349
Definition of a Matrix	p. 349
Operations With Matrices	p. 349
Elementary Row Operations	p. 351
Inverse of a Matrix	p. 352
Matrix Equations	p. 353
Matrix Solution of a System of Equations	p. 354
Mathematical Induction	p. 362
Principle of Mathematical Induction	p. 362
Proof by Mathematical Induction	p. 362
Partial Fractions	p. 368
Rational Fractions	p. 368
Proper Fractions	p. 368
Partial Fractions	p. 368
Identically Equal Polynomials	p. 369
Fundamental Theorem	p. 369
Finding the Partial Fraction Decomposition	p. 370
Table of Common Logarithms	p. 375
Table of Natural Logarithms	p. 379
Index	p. 383
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