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Algebra and trigonometry / Ron Larson ; with the assistance of David C. Falvo.

Por: Colaborador(es): Detalles de publicación: Belmont, CA : Brooks/Cole, Cengage Learning, c2011.Edición: Eigth editionDescripción: xi, 884, 134 pages : illustrations (some col.) ; 28 cmTipo de contenido:
  • text
Tipo de medio:
  • unmediated
Tipo de soporte:
  • volume
ISBN:
  • 9781439048474 (student ed.)
  • 1439048479 (student ed.)
Tema(s): Clasificación LoC:
  • QA154.3 .L34 2011
Contenidos:
Prerequisites -- Equations Inequalities and Mathematical Modeling -- Functions and Their Graphs -- Polynomial Functions -- Rational Functions and Conics -- Exponential and Logarithmic Functions -- Trigonometry -- Analytic Trigonometry -- Matrices and Determinants -- Sequences Series and Probability -- Errors and the Algebra of Calculus -- Answers to Odd -- Numbered Exercises and Tests -- Index.
Resumen: This market-leading text continues to provide students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a two-term course, the new Eighth Edition retains the features that have made Algebra and Trigonometry a complete solution for both students and instructors: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises.
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Descripciones mejoradas de Syndetics:

This market-leading book continues to provide users with sound, consistently structured explanations of the mathematical concepts. Designed for a two-term course, the new Eighth Edition retains the features that have made Algebra and Trigonometry a complete solution for users: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises.

Mathematical formulae on endpapers.

Includes index.

Prerequisites -- Equations Inequalities and Mathematical Modeling -- Functions and Their Graphs -- Polynomial Functions -- Rational Functions and Conics -- Exponential and Logarithmic Functions -- Trigonometry -- Analytic Trigonometry -- Matrices and Determinants -- Sequences Series and Probability -- Errors and the Algebra of Calculus -- Answers to Odd -- Numbered Exercises and Tests -- Index.

This market-leading text continues to provide students and instructors with sound, consistently structured explanations of the mathematical concepts. Designed for a two-term course, the new Eighth Edition retains the features that have made Algebra and Trigonometry a complete solution for both students and instructors: interesting applications, cutting-edge design, and innovative technology combined with an abundance of carefully written exercises.

Tabla de contenidos provista por Syndetics

  • P Prerequisites
  • Review of Real Numbers and Their Properties
  • Exponents and Radicals
  • Polynomials and Special Products
  • Factoring Polynomials
  • Rational Expressions
  • The Rectangular Coordinate System and Graphs
  • Chapter Summary
  • Review Exercises
  • Chapter Test Proofs in Mathematics
  • P.S. Problem Solving
  • 1 Equations, Inequalities, and Mathematical Modeling
  • Graphs of Equations
  • Linear Equations in One Variable
  • Modeling with Linear Equations
  • Quadratic Equations and Applications
  • Complex Numbers
  • Other Types of Equations
  • Linear Inequalities in One Variable
  • Other Types of Inequalities
  • Chapter Summary
  • Review Exercises
  • Chapter Test Proofs in Mathematics
  • P.S. Problem Solving
  • 2 Functions and Their Graphs
  • Linear Equations in Two Variables
  • Functions
  • Analyzing Graphs of Functions
  • A Library of Functions
  • Shifting, Reflecting, and Stretching Graphs
  • Combinations of Functions
  • Inverse Functions
  • Chapter Summary
  • Review Exercises
  • Chapter Test Cumulative Test: Chapters P-2
  • Proofs in Mathematics
  • P.S. Problem Solving
  • 3 Polynomial Functions
  • Quadratic Functions and Models
  • Polynomial Functions of Higher Degree
  • Polynomial and Synthetic Division
  • Zeros of Polynomial Functions
  • Mathematical Modeling
  • Chapter Summary
  • Review Exercises
  • Chapter Test Proofs in Mathematics
  • P.S. Problem Solving
  • 4 Rational Functions and Conics
  • Rational Functions and Asymptotes
  • Graphs of Rational Functions
  • Conics
  • Translations of Conics
  • Chapter Summary
  • Review Exercises
  • Chapter Test Proofs in Mathematics
  • P.S. Problem Solving
  • 5 Exponential and Logarithmic Functions
  • Exponential Functions and Their Graphs
  • Logarithmic Functions and Their Graphs
  • Properties of Logarithms
  • Exponential and Logarithmic Equations
  • Exponential and Logarithmic Models
  • Chapter Summary
  • Review Exercises
  • Chapter Test Cumulative Test: Chapters 3-5
  • Proofs in Mathematics
  • P.S. Problem Solving
  • 6 Trigonometery
  • Angles and Their Measure
  • Right Triangle Trigonometry
  • Trigonometric Functions of Any Angle
  • Graphs of Sine and Cosine Functions
  • Graphs of Other Trigonometric Functions
  • Inverse Trigonometric Functions
  • Applications and Models
  • Chapter Summary
  • Review Exercises
  • Chapter Test Proofs in Mathematics
  • P.S. Problem Solving
  • 7 Analytic Trigonometry
  • Using Fundamental Identities
  • Verifying Trigonometric Identities
  • Solving Trigonometric Equations
  • Sum and Difference Formulas
  • Multiple-Angle and Product-to-Sum Formulas
  • Chapter Summary
  • Review Exercises
  • Chapter Test Proofs in Mathematics
  • P.S. Problem Solving
  • 8 Additional Topics in Trigonometry
  • Law of Sines
  • Law of Cosines
  • Vectors in the Plane
  • Vectors and Dot Products
  • Trigonometric Form of a Complex Number
  • Chapter Summary
  • Review Exercises
  • Chapter Test Cumulative Test: Chapters 6-8
  • Proofs in Mathematics
  • P.S. Problem Solving
  • 9 Systems of Equations and Inequalities
  • Linear and Nonlinear Systems of Equations
  • Two-Variable Linear Systems
  • Multivariable Linear Systems
  • Partial Fractions
  • Systems of Inequalities
  • Linear Programming
  • Chapter Summary
  • Review Exercises
  • Chapter Test Proofs in Mathematics
  • P.S. Problem Solving
  • 10 Matrices and Determinants
  • Matrices and Systems of Equations
  • Operations with Matrices
  • The Inverse of a Square Matrix
  • The Determinant of a Square Matrix
  • Applications of Matrices and Determinants
  • Chapter Summary
  • Review Exercises
  • Chapter Test Proofs in Mathematics
  • P.S. Problem Solving
  • 11 Sequences, Series, and Probability
  • Sequences and Series
  • Arithmetic Sequences and Partial Sums
  • Geometric Sequences and Series
  • Mathematical Induction
  • The Binomial Theorem
  • Counting Principles
  • Probability
  • Chapter Summary
  • Review Exercises
  • Chapter Test Cumulative Test: Chapters 9-11
  • Proofs in Mathematics
  • P.S. Problem Solving
  • Appendix A Errors and the Algebra of Calculus
  • Appendix B Concepts in Statistics (WEB)
  • Representing Data
  • Measures of Central Tendency and Dispersion
  • Least Squares Regression
  • Alternative/Expanded Version of Chapter P (WEB)
  • Operations with Real Numbers
  • Properties of Real Numbers
  • Algebraic Expressions
  • Operations with Polynomials
  • Factoring Polynomials
  • Factoring Trinomials
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