Calculus - Fundamentals of Limits, Differentiation, and Integration (feat. AP Calculus) Vol.1

Welcome to the first volume of *Calculus: Fundamentals of Limits, Differentiation, and Integration (feat. AP Calculus)*. This three-volume series covers the essential principles and applications of calculus, aimed at beginners and those preparing for the AP Calculus exam. This edition builds upon the previously published *Calculus Basics*, now in its second edition.

In this first volume, you will explore the following topics related to limits:

- Definitions of Functions
- Algebraic and Transcendental Functions
- Definitions of Limits
- Theorems on Limits
- Evaluations of Limits
- Continuity of Functions
- Infinite Sequence
- Infinite Series

The second volume focuses on differentiation, covering:

- Definitions of Differentiation
- Derivatives
- Rules of Differentiation
- Analysis of Function Graphs
- Applications of Differential Calculus

The third volume addresses integration, including:

- 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