The Most Effective Introduction To CalculusA 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: ArithmeticAlgebraPolynomialsAnalytic GeometryFunctionsThis title is the result of several decades of the author's experience teaching Calculus at university education level. Most important featuresSuitable 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 contentChapter 1. Preliminaries: An Overview of Logic and Set TheoryThe Real Number System Radicals and Rational ExponentsSome Topics of AlgebraPolynomial EquationsOrder Axioms and InequationsAbsolute ValueChapter2. The Cartesian Plane and The Line: The Cartesian PlaneEquation Graphs. Symmetry and TranslationsLines and Linear EquationsChapter 3. The Conics: IntroductionThe ParabolaThe EllipseThe HyperbolaGeneral 2nd Degree Equation. RotationsChapter 4. Real Functions: Real Functions and their GraphsTrigonometric FunctionsNew Functions from Old FunctionsInverse Functions Inverse Trigonometric FunctionsExponential FunctionsLogarithmic FunctionsFunction Applications