Precalculus for Everybody

The most efective introduction to Calculus

An effective guidance to learn the concepts that precede Calculus with a friendly writing tone, solved exercises, proposed exercises, demonstrations, stories, and even a few jokes. This textbook stands out from the standard academic book format.

It covers all the essential topics of Precalculus:

  • Arithmetic
  • Algebra
  • Polynomials
  • Analytic Geometry
  • Functions
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This book is the result of several decades of the author’s experience teaching Calculus, and was conceived to fill the academic gaps in elementary and middle school education.

  • Perfect for students or applicants to Science and Engineering careers, as well as for Science and Technology enthusiasts.
  • Good balance of theory and practice.
  • Theory is supported by examples, solved exercises and proposed exercises.
  • Passages on the history of mathematics and contemporary references.
  • Flashes of mathematical humor.
Interactive Book

This is the first title of our collection to be part of this project. Among its pages you will find some QR codes that are linked to our social media, allowing us to provide audiovisual content, in addition to favor the interactivity of the reader.

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

Author: Jorge A. Sáenz

ISBN: 978-612-48516-2-9

Edition: First edition, 2023

Number of pages: 340

Format: Paperback

Measures: 6×9 inches

Weight: 1.2 pounds