College Algebra

ISBN-10: 0071452273

ISBN-13: 9780071452274

Edition: 3rd 2006 (Revised)

List price: $18.95
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'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.
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Book details

List price: $18.95
Edition: 3rd
Copyright year: 2006
Publisher: McGraw-Hill Companies, The
Binding: Mixed Media
Pages: 376
Size: 8.00" wide x 10.50" long x 0.75" tall
Weight: 1.496
Language: English

Fundamental Operations with Numbersp. 1
Four Operationsp. 1
System of Real Numbersp. 2
Graphical Representation of Real Numbersp. 2
Properties of Addition and Multiplication of Real Numbersp. 3
Rules of Signsp. 3
Exponents and Powersp. 4
Operations with Fractionsp. 4
Fundamental Operations with Algebraic Expressionsp. 12
Algebraic Expressionsp. 12
Termsp. 12
Degreep. 13
Groupingp. 13
Computation with Algebraic Expressionsp. 13
Properties of Numbersp. 22
Sets of Numbersp. 22
Propertiesp. 22
Additional Propertiesp. 23
Special Productsp. 27
Special Productsp. 27
Products Yielding Answers of the Form a[superscript n plus or minus]b[superscript n]p. 28
Factoringp. 32
Factoringp. 32
Factorization Proceduresp. 33
Greatest Common Factorp. 34
Least Common Multiplep. 34
Fractionsp. 41
Rational Algebraic Fractionsp. 41
Operations with Algebraic Fractionsp. 42
Complex Fractionsp. 43
Exponentsp. 48
Positive Integral Exponentp. 48
Negative Integral Exponentp. 48
Rootsp. 48
Rational Exponentsp. 49
General Laws of Exponentsp. 49
Scientific Notationp. 50
Radicalsp. 58
Radical Expressionsp. 58
Laws for Radicalsp. 58
Simplifying Radicalsp. 58
Operations with Radicalsp. 59
Rationalizing Binomial Denominatorsp. 60
Simple Operations with Complex Numbersp. 67
Complex Numbersp. 67
Graphical Representation of Complex Numbersp. 67
Algebraic Operations with Complex Numbersp. 68
Equations in Generalp. 73
Equationsp. 73
Operations Used in Transforming Equationsp. 73
Equivalent Equationsp. 74
Formulasp. 74
Polynomial Equationsp. 75
Ratio, Proportion, and Variationp. 81
Ratiop. 81
Proportionp. 81
Variationp. 81
Unit Pricep. 82
Best Buyp. 82
Functions and Graphsp. 89
Variablesp. 89
Relationsp. 89
Functionsp. 89
Function Notationp. 90
Rectangular Coordinate Systemp. 90
Function of Two Variablesp. 91
Symmetryp. 91
Shiftsp. 92
Scalingp. 93
Using a Graphing Calculatorp. 93
Linear Equations in One Variablep. 114
Linear Equationsp. 114
Literal Equationsp. 114
Word Problemsp. 115
Equations of Linesp. 128
Slope of a Linep. 128
Parallel and Perpendicular Linesp. 129
Slope-Intercept form of Equation of a Linep. 130
Slope-Point Form of Equation of a Linep. 130
Two-point Form of Equation of a Linep. 130
Intercept Form of Equation of a Linep. 131
Simultaneous Linear Equationsp. 137
Systems of Two Linear Equationsp. 137
Systems of Three Linear Equationsp. 138
Quadratic Equations in One Variablep. 150
Quadratic Equationsp. 150
Methods of Solving Quadratic Equationsp. 150
Sum and Product of the Rootsp. 152
Nature of the Rootsp. 152
Radical Equationsp. 152
Quadratic-type Equationsp. 153
Conic Sectionsp. 169
General Quadratic Equationsp. 169
Conic Sectionsp. 170
Circlesp. 170
Parabolasp. 171
Ellipsesp. 173
Hyperbolasp. 177
Graphing Conic Sections with a Calculatorp. 180
Systems of Equations Involving Quadraticsp. 191
Graphical Solutionp. 191
Algebraic Solutionp. 191
Inequalitiesp. 199
Definitionsp. 199
Principles of Inequalitiesp. 199
Absolute Value Inequalitiesp. 200
Higher Degree Inequalitiesp. 200
Linear Inequalities in Two Variablesp. 202
Systems of Linear Inequalitiesp. 202
Linear Programmingp. 203
Polynomial Functionsp. 214
Polynomial Equationsp. 214
Zeros of Polynomial Equationsp. 214
Solving Polynomial Equationsp. 216
Approximating Real Zerosp. 218
Rational Functionsp. 235
Rational Functionsp. 235
Vertical Asymptotesp. 235
Horizontal Asymptotesp. 235
Graphing Rational Functionsp. 236
Graphing Rational Functions using a Graphing Calculatorp. 238
Sequences and Seriesp. 245
Sequencesp. 245
Arithmetic Sequencesp. 245
Geometric Sequencesp. 245
Infinite Geometric Seriesp. 246
Harmonic Sequencesp. 246
Meansp. 246
Logarithmsp. 263
Definition of a Logarithmp. 263
Laws of Logarithmsp. 263
Common Logarithmsp. 264
Using a Common Logarithm Tablep. 264
Natural Logarithmsp. 265
Using a Natural Logarithm Tablep. 265
Finding Logarithms Using a Calculatorp. 266
Applications of Logarithms and Exponentsp. 276
Introductionp. 276
Simple Interestp. 276
Compound Interestp. 277
Applications of Logarithmsp. 278
Applications of Exponentsp. 280
Permutations and Combinationsp. 288
Fundamental Counting Principlep. 288
Permutationsp. 288
Combinationsp. 289
Using a Calculatorp. 290
The Binomial Theoremp. 303
Combinatorial Notationp. 303
Expansion of (a + x)[superscript n]p. 303
Probabilityp. 310
Simple Probabilityp. 310
Compound Probabilityp. 310
Mathematical Expectationp. 311
Binomial Probabilityp. 311
Conditional Probabilityp. 311
Determinantsp. 323
Determinants of Second Orderp. 323
Cramer's Rulep. 323
Determinants of Third Orderp. 324
Determinants of Order np. 326
Properties of Determinantsp. 327
Minorsp. 328
Value of a Determinant of Order np. 328
Cramer's Rule for Determinants of Order np. 328
Homogeneous Linear Equationsp. 329
Matricesp. 349
Definition of a Matrixp. 349
Operations With Matricesp. 349
Elementary Row Operationsp. 351
Inverse of a Matrixp. 352
Matrix Equationsp. 353
Matrix Solution of a System of Equationsp. 354
Mathematical Inductionp. 362
Principle of Mathematical Inductionp. 362
Proof by Mathematical Inductionp. 362
Partial Fractionsp. 368
Rational Fractionsp. 368
Proper Fractionsp. 368
Partial Fractionsp. 368
Identically Equal Polynomialsp. 369
Fundamental Theoremp. 369
Finding the Partial Fraction Decompositionp. 370
Table of Common Logarithmsp. 375
Table of Natural Logarithmsp. 379
Indexp. 383
Table of Contents provided by Ingram. All Rights Reserved.
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