Name: Precalculus Essentials
Price: 94.99 USD
Availability: InStock
ISBN: 9780136921745

Precalculus Essentials, 6th Edition, is a textbook by Robert F. Blitzer that presents essential mathematical concepts and practical problem-solving. Published by Pearson, the volume connects core mathematical methods directly to everyday observations and diverse real-world contexts.

Coverage introduces fundamental algebraic principles, functions, and graphs alongside exponential and logarithmic models. The text also investigates trigonometry, addressing topics such as analytic identities, the Laws of Sines and Cosines, and polar coordinates.

Drawing on training in mathematics and behavioral science, the author designs applications intended for students across all academic majors. The 2022 edition introduces scenarios exploring world tiger populations, areas burned by wildfires, and social media usage by age.

Table of Contents

Chapter P: Prerequisites: Fundamental Concepts of Algebra
- • P.1 Algebraic Expressions, Mathematical Models, and Real Numbers
- • P.2 Exponents and Scientific Notation
- • P.3 Radicals and Rational Exponents
- • P.4 Polynomials
- • P.5 Factoring Polynomials
- • P.6 Rational Expressions
Chapter 1: Functions and Graphs
- • 1.1 Graphs and Graphing Utilities
- • 1.2 Basics of Functions and Their Graphs
- • 1.3 More on Functions and Their Graphs
- • 1.4 Linear Functions and Slope
- • 1.5 More on Slope
- • 1.6 Transformations of Functions
- • 1.7 Combinations of Functions; Composite Functions
- • 1.8 Inverse Functions
- • 1.9 Distance and Midpoint Formulas; Circles
Chapter 2: Polynomial and Rational Functions
- • 2.1 Complex Numbers
- • 2.2 Quadratic Functions
- • 2.3 Polynomial Functions and Their Graphs
- • 2.4 Dividing Polynomials; Remainder and Factor Theorems
- • 2.5 Zeros of Polynomial Functions
- • 2.6 Rational Functions and Their Graphs
- • 2.7 Polynomial and Rational Inequalities
- • 2.8 Modeling Using Variation
Chapter 3: Exponential and Logarithmic Functions
- • 3.1 Exponential Functions
- • 3.2 Logarithmic Functions
- • 3.3 Properties of Logarithms
- • 3.4 Exponential and Logarithmic Equations
- • 3.5 Exponential Growth and Decay; Modeling Data
Chapter 4: Trigonometric Functions
- • 4.1 Angles and Radian Measure
- • 4.2 Trigonometric Functions: The Unit Circle
- • 4.3 Right Triangle Trigonometry
- • 4.4 Trigonometric Functions of Any Angle
- • 4.5 Graphs of Sine and Cosine Functions
- • 4.6 Graphs of Other Trigonometric Functions
- • 4.7 Inverse Trigonometric Functions
- • 4.8 Applications of Trigonometric Functions
Chapter 5: Analytic Trigonometry
- • 5.1 Verifying Trigonometric Identities
- • 5.2 Sum and Difference Formulas
- • 5.3 Double-Angle, Power-Reducing, and Half-Angle Formulas
- • 5.4 Product-to-Sum and Sum-to-Product Formulas
- • 5.5 Trigonometric Equations
Chapter 6: Additional Topics in Trigonometry
- • 6.1 The Law of Sines
- • 6.2 The Law of Cosines
- • 6.3 Polar Coordinates
- • 6.4 Graphs of Polar Equations
- • 6.5 Complex Numbers in Polar Form; DeMoivre's Theorem
- • 6.6 Vectors
- • 6.7 The Dot Product

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