Algebra and Trigonometry, Global Edition
Autor Robert Blitzeren Limba Engleză Paperback – 12 iul 2022
"Your world is profoundly mathematical."
Bob Blitzercontinues to support and inspire students with his engaging approach, makingthis text beloved year after year by students and instructors alike. Blitzer'sunique background in mathematics and behavioral science informs a wide range ofapplications, drawn from pop culture and up-to-date references, that appeal tostudents of all majors and connect math to students' lives.
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Specificații
ISBN-13: 9781292443447
ISBN-10: 1292443448
Pagini: 1320
Dimensiuni: 216 x 276 x 49 mm
Greutate: 2.78 kg
Ediția:7. Auflage
Editura: Pearson
ISBN-10: 1292443448
Pagini: 1320
Dimensiuni: 216 x 276 x 49 mm
Greutate: 2.78 kg
Ediția:7. Auflage
Editura: Pearson
Cuprins
P. Prerequisites: Fundamental Concepts of Algebra
P.1 AlgebraicExpressions, Mathematical Models, and Real Numbers
P.2 Exponentsand Scientific Notation
P.3 Radicalsand Rational Exponents
P.4Polynomials
P.5 FactoringPolynomials
P.6 RationalExpressions
1. Equations and Inequalities
1.1 Graphs andGraphing Utilities
1.2 LinearEquations and Rational Equations
1.3 Models andApplications
1.4 ComplexNumbers
1.5 QuadraticEquations
1.6 OtherTypes of Equations
1.7 LinearInequalities and Absolute Value Inequalities
2. Functions and Graphs
2.1 Basics ofFunctions and Their Graphs
2.2 More onFunctions and Their Graphs
2.3 LinearFunctions and Slope
2.4 More onSlope
2.5Transformations of Functions
2.6 Combinationsof Functions; Composite Functions
2.7 InverseFunctions
2.8 Distanceand Midpoint Formulas; Circles
3. Polynomial and Rational Functions
3.1 QuadraticFunctions
3.2 PolynomialFunctions and Their Graphs
3.3 DividingPolynomials; Remainder and Factor Theorems
3.4 Zeros ofPolynomial Functions
3.5 RationalFunctions and Their Graphs
3.6 Polynomialand Rational Inequalities
3.7 ModelingUsing Variation
4. Exponential and Logarithmic Functions
4.1Exponential Functions
4.2Logarithmic Functions
4.3 Propertiesof Logarithms
4.4Exponential and Logarithmic Equations
4.5Exponential Growth and Decay; Modeling Data
5. Trigonometric Functions
5.1 Angles andRadian Measure
5.2 RightTriangle Trigonometry
5.3Trigonometric Functions of Any Angle
5.4Trigonometric Functions of Real Numbers; Periodic Functions
5.5 Graphs ofSine and Cosine Functions
5.6 Graphs ofOther Trigonometric Functions
5.7 InverseTrigonometric Functions
5.8Applications of Trigonometric Functions
6. Analytic Trigonometry
6.1 VerifyingTrigonometric Identities
6.2 Sum andDifference Formulas
6.3Double-Angle, Power-Reducing, and Half-Angle Formulas
6.4 Product-to-Sumand Sum-to-Product Formulas
6.5Trigonometric Equations
7. Additional Topics in Trigonometry
7.1 The Law ofSines
7.2 The Law ofCosines
7.3 PolarCoordinates
7.4 Graphs ofPolar Equations
7.5 ComplexNumbers in Polar Form; DeMoivre's Theorem
7.6 Vectors
7.7 The DotProduct
8. Systems of Equations and Inequalities
8.1 Systems ofLinear Equations in Two Variables
8.2 Systems ofLinear Equations in Three Variables
8.3 PartialFractions
8.4 Systems ofNonlinear Equations in Two Variables
8.5 Systems ofInequalities
8.6 LinearProgramming
9. Matrices and Determinants
9.1 MatrixSolutions to Linear Systems
9.2 Inconsistentand Dependent Systems and Their Applications
9.3 MatrixOperations and Their Applications
9.4Multiplicative Inverses of Matrices and Matrix Equations
9.5Determinants and Cramer's Rule
10. Conic Sections and Analytic Geometry
10.1 The Ellipse
10.2 TheHyperbola
10.3 TheParabola
10.4 Rotationof Axes
10.5Parametric Equations
10.6 ConicSections in Polar Coordinates
11. Sequences, Induction, and Probability
11.1 Sequencesand Summation Notation
11.2Arithmetic Sequences
11.3 GeometricSequences and Series
11.4Mathematical Induction
11.5 TheBinomial Theorem
11.6 CountingPrinciples, Permutations, and Combinations
11.7Probability
P.1 AlgebraicExpressions, Mathematical Models, and Real Numbers
P.2 Exponentsand Scientific Notation
P.3 Radicalsand Rational Exponents
P.4Polynomials
P.5 FactoringPolynomials
P.6 RationalExpressions
1. Equations and Inequalities
1.1 Graphs andGraphing Utilities
1.2 LinearEquations and Rational Equations
1.3 Models andApplications
1.4 ComplexNumbers
1.5 QuadraticEquations
1.6 OtherTypes of Equations
1.7 LinearInequalities and Absolute Value Inequalities
2. Functions and Graphs
2.1 Basics ofFunctions and Their Graphs
2.2 More onFunctions and Their Graphs
2.3 LinearFunctions and Slope
2.4 More onSlope
2.5Transformations of Functions
2.6 Combinationsof Functions; Composite Functions
2.7 InverseFunctions
2.8 Distanceand Midpoint Formulas; Circles
3. Polynomial and Rational Functions
3.1 QuadraticFunctions
3.2 PolynomialFunctions and Their Graphs
3.3 DividingPolynomials; Remainder and Factor Theorems
3.4 Zeros ofPolynomial Functions
3.5 RationalFunctions and Their Graphs
3.6 Polynomialand Rational Inequalities
3.7 ModelingUsing Variation
4. Exponential and Logarithmic Functions
4.1Exponential Functions
4.2Logarithmic Functions
4.3 Propertiesof Logarithms
4.4Exponential and Logarithmic Equations
4.5Exponential Growth and Decay; Modeling Data
5. Trigonometric Functions
5.1 Angles andRadian Measure
5.2 RightTriangle Trigonometry
5.3Trigonometric Functions of Any Angle
5.4Trigonometric Functions of Real Numbers; Periodic Functions
5.5 Graphs ofSine and Cosine Functions
5.6 Graphs ofOther Trigonometric Functions
5.7 InverseTrigonometric Functions
5.8Applications of Trigonometric Functions
6. Analytic Trigonometry
6.1 VerifyingTrigonometric Identities
6.2 Sum andDifference Formulas
6.3Double-Angle, Power-Reducing, and Half-Angle Formulas
6.4 Product-to-Sumand Sum-to-Product Formulas
6.5Trigonometric Equations
7. Additional Topics in Trigonometry
7.1 The Law ofSines
7.2 The Law ofCosines
7.3 PolarCoordinates
7.4 Graphs ofPolar Equations
7.5 ComplexNumbers in Polar Form; DeMoivre's Theorem
7.6 Vectors
7.7 The DotProduct
8. Systems of Equations and Inequalities
8.1 Systems ofLinear Equations in Two Variables
8.2 Systems ofLinear Equations in Three Variables
8.3 PartialFractions
8.4 Systems ofNonlinear Equations in Two Variables
8.5 Systems ofInequalities
8.6 LinearProgramming
9. Matrices and Determinants
9.1 MatrixSolutions to Linear Systems
9.2 Inconsistentand Dependent Systems and Their Applications
9.3 MatrixOperations and Their Applications
9.4Multiplicative Inverses of Matrices and Matrix Equations
9.5Determinants and Cramer's Rule
10. Conic Sections and Analytic Geometry
10.1 The Ellipse
10.2 TheHyperbola
10.3 TheParabola
10.4 Rotationof Axes
10.5Parametric Equations
10.6 ConicSections in Polar Coordinates
11. Sequences, Induction, and Probability
11.1 Sequencesand Summation Notation
11.2Arithmetic Sequences
11.3 GeometricSequences and Series
11.4Mathematical Induction
11.5 TheBinomial Theorem
11.6 CountingPrinciples, Permutations, and Combinations
11.7Probability
Notă biografică
Bob Blitzer is a native of Manhattan and received aBachelor of Arts degree with dual majors in mathematics and psychology (minor:English literature) from the City College of New York. His unusual combinationof academic interests led him toward a Master of Arts in mathematics from theUniversity of Miami and a doctorate in behavioral sciences from NovaUniversity. Bob's love for teaching mathematics was nourished for nearly 30years at Miami Dade College, where he received numerous teaching awards,including Innovator of the Year from the League for Innovations in theCommunity College and an endowed chair based on excellence in the classroom. Inaddition to Algebra and Trigonometry, Bob has written textbookscovering developmental mathematics, introductory algebra, intermediate algebra,trigonometry, precalculus, and liberal arts mathematics, all published byPearson. When not secluded in his Northern California writer's cabin, Bob canbe found hiking the beaches and trails of Point Reyes National Seashore andtending to the chores required by his beloved entourage of horses, chickens,and irritable roosters.