References: Foundations of Calculus

1. Calculus - Wikipedia - Broad overview of calculus history, fundamental concepts, and applications. Provides essential context for understanding the scope and significance of the subject introduced in this chapter.

2. History of calculus - Wikipedia - Traces the development of calculus from ancient Greek methods through Newton and Leibniz. Directly supports the historical narrative and motivation presented in this chapter.

3. Function (mathematics) - Wikipedia - Comprehensive treatment of functions including notation, composition, and transformations. Reinforces the prerequisite function concepts reviewed in this chapter.

4. Calculus: Early Transcendentals (9th Edition) - James Stewart - Cengage Learning - Chapter 1 covers functions, models, and the preview of calculus with excellent visual explanations and real-world examples.

5. Calculus (3rd Edition) - Michael Spivak - Publish or Perish - A rigorous yet accessible introduction to the foundations of calculus, ideal for students wanting deeper conceptual understanding.

6. AP Calculus Course Description - College Board - Official AP Calculus AB course overview including exam format, topic outlines, and scoring guidelines relevant to course preparation.

7. Essence of Calculus (Video Series) - 3Blue1Brown - Visually stunning video series that builds geometric intuition for calculus concepts, complementing the chapter's emphasis on understanding over memorization.

8. Calculus I Review - Paul's Online Math Notes - Comprehensive review of precalculus and early calculus topics with worked examples, perfect for reinforcing foundational skills.

9. Khan Academy: AP Calculus AB - Khan Academy - Free structured course with practice exercises and videos aligned to the AP Calculus curriculum covered throughout this textbook.

10. Calculus Made Easy - Project Gutenberg - Silvanus P. Thompson's classic 1914 text offering a refreshingly accessible introduction to calculus, freely available online.