Algebra and Trigonometry with Analytic Geometry

ISBN-10: 0534377599

ISBN-13: 9780534377595

Edition: 10th 2002

List price: $96.95
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Book details

List price: $96.95
Edition: 10th
Copyright year: 2002
Publisher: Brooks/Cole
Publication date: 2/16/2001
Binding: Hardcover
Pages: 960
Weight: 3.960
Language: English

Earl Swokowski authored multiple editions of numerous successful textbooks, including CALCULUS; CALCULUS OF A SINGLE VARIABLE; FUNDAMENTALS OF COLLEGE ALGEBRA; and PRECALCULUS: FUNCTIONS AND GRAPHS, all published by Cengage Learning Brooks/Cole.

List of Graphing Calculator Topicsp. ix
Prefacep. xi
Fundamental Concepts of Algebrap. 1
Real Numbersp. 2
Exponents and Radicalsp. 19
Algebraic Expressionsp. 31
Fractional Expressionsp. 45
Chapter 1 Review Exercisesp. 56
Chapter 1 Discussion Exercisesp. 58
Equations and Inequalitiesp. 59
Equationsp. 60
Applied Problemsp. 69
Quadratic Equationsp. 80
Complex Numbersp. 94
Other Types of Equationsp. 101
Inequalitiesp. 110
More on Inequalitiesp. 119
Chapter 2 Review Exercisesp. 127
Chapter 2 Discussion Exercisesp. 130
Functions and Graphsp. 131
Rectangular Coordinate Systemsp. 132
Graphs of Equationsp. 141
Linesp. 157
Definition of Functionp. 175
Graphs of Functionsp. 193
Quadratic Functionsp. 209
Operations on Functionsp. 224
Inverse Functionsp. 235
Variationp. 245
Chapter 3 Review Exercisesp. 252
Chapter 3 Discussion Exercisesp. 258
Polynomial and Rational Functionsp. 261
Polynomial Functions of Degree Greater Than 2p. 262
Properties of Divisionp. 273
Zeros of Polynomialsp. 281
Complex and Rational Zeros of Polynomialsp. 295
Rational Functionsp. 303
Chapter 4 Review Exercisesp. 321
Chapter 4 Discussion Exercisesp. 323
Exponential and Logarithmic Functionsp. 325
Exponential Functionsp. 326
The Natural Exponential Functionp. 338
Logarithmic Functionsp. 348
Properties of Logarithmsp. 364
Exponential and Logarithmic Equationsp. 372
Chapter 5 Review Exercisesp. 385
Chapter 5 Discussion Exercisesp. 388
The Trigonometric Functionsp. 391
Anglesp. 392
Trigonometric Functions of Anglesp. 403
Trigonometric Functions of Real Numbersp. 421
Values of the Trigonometric Functionsp. 440
Trigonometric Graphsp. 448
Additional Trigonometric Graphsp. 463
Applied Problemsp. 471
Chapter 6 Review Exercisesp. 484
Chapter 6 Discussion Exercisesp. 491
Analytic Trigonometryp. 493
Verifying Trigonometric Identitiesp. 494
Trigonometric Equationsp. 500
The Addition and Subtraction Formulasp. 515
Multiple-Angle Formulasp. 526
Product-to-Sum and Sum-to-Product Formulasp. 536
The Inverse Trigonometric Functionsp. 541
Chapter 7 Review Exercisesp. 557
Chapter 7 Discussion Exercisesp. 560
Applications of Trigonometryp. 561
The Law of Sinesp. 562
The Law of Cosinesp. 572
Vectorsp. 581
The Dot Productp. 596
Trigonometric Form for Complex Numbersp. 607
De Moivre's Theorem and nth Roots of Complex Numbersp. 614
Chapter 8 Review Exercisesp. 620
Chapter 8 Discussion Exercisesp. 624
Systems of Equations and Inequalitiesp. 625
Systems of Equationsp. 626
Systems of Linear Equations in Two Variablesp. 635
Systems of Inequalitiesp. 644
Linear Programmingp. 653
Systems of Linear Equations in More Than Two Variablesp. 662
The Algebra of Matricesp. 677
The Inverse of a Matrixp. 687
Determinantsp. 694
Properties of Determinantsp. 701
Partial Fractionsp. 709
Chapter 9 Review Exercisesp. 715
Chapter 9 Discussion Exercisesp. 718
Sequences, Series, and Probabilityp. 721
Infinite Sequences and Summation Notationp. 722
Arithmetic Sequencesp. 738
Geometric Sequencesp. 745
Mathematical Inductionp. 754
The Binomial Theoremp. 761
Permutationsp. 770
Distinguishable Permutations and Combinationsp. 777
Probabilityp. 786
Chapter 10 Review Exercisesp. 799
Chapter 10 Discussion Exercisesp. 802
Topics from Analytic Geometryp. 805
Parabolasp. 806
Ellipsesp. 816
Hyperbolasp. 830
Plane Curves and Parametric Equationsp. 842
Polar Coordinatesp. 857
Polar Equations of Conicsp. 873
Chapter 11 Review Exercisesp. 879
Chapter 11 Discussion Exercisesp. 881
Appendixesp. 883
Common Graphs and Their Equationsp. 884
A Summary of Graph Transformationsp. 886
Graphs of Trigonometric Functions and Their Inversesp. 888
Values of the Trigonometric Functions of Special Angles on a Unit Circlep. 890
Answers to Selected Exercisesp. A1
Index of Applicationsp. A87
Indexp. A93
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