Precalculus for Everybody

The most efective 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
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This title is the result of several decades of the author’s experience teaching Calculus at university education level. In fact, this book was originally an opening chapter of a Calculus book, since the author considered it crucial to fill the academic gaps of 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.
  • Modern mathematical jokes.
Interactive Book

This is the first title of our collection to be part of this project. Among its pages you will find QR codes that connect to our website and to posts from our X account related to the content of the book.

This technology allows us to offer additional information to that found in the pages of the book, as well as giving the reader the possibility of interacting with the editor through our posts.

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