About 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 assisted by many examples and solved exercises.
More than 750 proposed exercises with their respective answers.
Passages of mathematical history and references to contemporary cases.
Modern mathematical jokes.
Assisted by QR codes that link to complementary information on our social media.
Book content
Chapter 1. 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
Chapter¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿2. The Cartesian Plane and The Line:The Cartesian Plane
Equation Graphs. Symmetry and Translations
Lines and Linear Equations
Chapter 3. The Conics:¿¿¿¿¿¿¿¿¿¿¿¿¿¿¿ Introduction
The Parabola
The Ellipse
The Hyperbola
General 2nd Degree Equation. Rotations
Chapter 4. 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
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