This book is the second volume of Calculus Basics, which is composed of The Limits, The Differential Calculus, and The Integral Calculus. It is intended for those who study the basics of calculus or for the students preparing for the AP calculus test. In the first volume, you learn the following ▪︎ Definitions of Functions ▪︎ Algebraic and Transcendental Functions ▪︎ Definitions of Limits ▪︎ Theorems on Limits ▪︎ Evaluations of Limits ▪︎ Continuity of Functions ▪︎ Infinite Sequence ▪︎ Infinite Series In the second volume, you learn the following ▪︎ Definitions of Differentiation ▪︎ Derivatives ▪︎ Rules of Differentiation ▪︎ Analysis of Function Graphs ▪︎ Applications of Differential Calculus In the third volume, you learn the following ▪︎ Definitions of Integral ▪︎ Antidifferentiation ▪︎ Definite Integrals ▪︎ Fundamental Theorem of Calculus ▪︎ Rules of Antidifferentiation ▪︎ Applications of Integral Calculus ▪︎ Introduction to Differential Equations ▪︎ Infinite Series and Power Series * This volume will be published soon.
Over simplifies everything. If you want an introduction to calculus the better way to go about it is getting a Baron's AP Calculus book and watching Khan Academy videos (and 3Blue1Brown for conceptual understanding).