Precalculus for Everybody: The most effective introduction to Calculus - Softcover

Inhaltsangabe

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
• Álgebra
• 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

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

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