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Back to topPrecalculus for Everybody (Paperback)
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Description
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.
- 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.
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
Chapter2. 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