Precalculus for Everybody: The most effective introduction to Calculus

A self-teaching guide for anyone who wants to learn the concepts that precede Calculus in a clear and concise way. It employs a friendly writing tone, many solved and proposed exercises, stories and even jokes; standing apart from the classic academic book.

This book covers all the essential topics of Precalculus, including:

• Arithmetic
• Algebra
• Polynomials
• Analytic Geometry
• Functions

This title is the result of several decades of the author’s experience teaching Calculus at university education level.

Most important features

• Suitable for students or applicants for Science and Engineering careers.
• Suitable for self-learners and Science and Technology enthusiasts.
• Good balance of theory and practice.
• Theory is supported by many examples and solved exercises.
• More than 750 proposed exercises with their respective answers.
• Passages from the history of mathematics and contemporary references.
• Modern mathematical jokes.
• QR codes that link to complementary content in our social networks.

Contents

• Preliminaries
• An Overview of Logic and Set Theory
• The Real Number System
• Radicals and Rational Exponents
• Some Topics of Algebra
• Polynomial Equations
• Order Axioms and Inequations
• Absolute Value
• The Cartesian Plane and The Line
• The Cartesian Plane
• Equation Graphs. Symmetry and Translations
• Lines and Linear Equations
• The Conics
• Introduction
• The Parabola
• The Ellipse
• The Hyperbola
• General 2nd Degree Equation. Rotations
• Real Functions
• Real Functions and their Graphs
• Trigonometric Functions
• New Functions from Old Functions
• Inverse Functions
• Inverse Trigonometric Functions
• Exponential Functions
• Logarithmic Functions
• Function Applications