# Digitized Knowledge Library & AI Study Guides

> A digitized collection of mathematical references, scientific texts, and generative AI visual recreation catalogs hosted on Cloudflare Pages and Cloudflare D1.

## Books in the Library
### [The Britannica Guide to Analysis and Calculus](https://analysis-and-calculus.pages.dev/api/books/analysis-and-calculus)
*Editor: Erik Gregersen | Publisher: Britannica Educational Publishing | Year: 2011*
A comprehensive overview of continuous change, calculus, differential equations, and great historical figures in mathematical analysis. Contains 278 pages, 7 chapters, and 76 visual elements.

#### Chapter Study Guides
- [https://analysis-and-calculus.pages.dev/raw/books/analysis-and-calculus/chapters/chapter_01_measuring_continuous_change.md](Chapter 1: Measuring Continuous Change): This chapter introduces the transition from static classical geometry to the mathematical study of continuous variation and motion.
- [https://analysis-and-calculus.pages.dev/raw/books/analysis-and-calculus/chapters/chapter_02_calculus.md](Chapter 2: Calculus): This chapter develops the formal machinery of differential and integral calculus, bridging infinitesimal concepts with algebraic methods.
- [https://analysis-and-calculus.pages.dev/raw/books/analysis-and-calculus/chapters/chapter_03_differential_equations.md](Chapter 3: Differential Equations): This chapter addresses differential equations—equations relating an unknown function to its rates of change—which serve as the primary mathematical language for modeling physical dynamics.
- [https://analysis-and-calculus.pages.dev/raw/books/analysis-and-calculus/chapters/chapter_04_other_areas_of_analysis.md](Chapter 4: Other Areas of Analysis): This chapter surveys modern advanced branches of mathematical analysis that grew out of classical calculus.
- [https://analysis-and-calculus.pages.dev/raw/books/analysis-and-calculus/chapters/chapter_05_history_of_analysis.md](Chapter 5: History of Analysis): This chapter traces the multi-millennium intellectual history of mathematical analysis from ancient paradoxes to modern rigorous foundations.
- [https://analysis-and-calculus.pages.dev/raw/books/analysis-and-calculus/chapters/chapter_06_great_figures_in_analysis.md](Chapter 6: Great Figures in the History of Analysis): This chapter provides biographical profiles and mathematical contributions of the key thinkers who built mathematical analysis across three major epochs.
- [https://analysis-and-calculus.pages.dev/raw/books/analysis-and-calculus/chapters/chapter_07_core_concepts_glossary.md](Chapter 7: Concepts in Analysis and Calculus (A–Z Reference)): This chapter serves as an encyclopedic lexicon of the essential theorems, definitions, and operational concepts in analysis and calculus.

#### Visual Elements & Generative AI Recreation
- [https://analysis-and-calculus.pages.dev/raw/books/analysis-and-calculus/VISUALS_CATALOG.md](Visual Elements Catalog): Inventory of 76 diagrams, illustrations, and figures with original captions and generative prompts (Midjourney / FLUX / Imagen).

## Machine-Readable API Endpoints (JSON)
- Library Index: `https://analysis-and-calculus.pages.dev/api/books`
- Book Metadata: `https://analysis-and-calculus.pages.dev/api/books/{bookId}`
- Book Chapters: `https://analysis-and-calculus.pages.dev/api/books/{bookId}/chapters`
- Book Pages: `https://analysis-and-calculus.pages.dev/api/books/{bookId}/pages`
- Page Detail: `https://analysis-and-calculus.pages.dev/api/books/{bookId}/pages/{pageId}`
- Book Visuals: `https://analysis-and-calculus.pages.dev/api/books/{bookId}/visuals`
- Full-Text Search: `https://analysis-and-calculus.pages.dev/api/search?q={query}&bookId={bookId}`

## Optional & Full Documentation
- [https://analysis-and-calculus.pages.dev/llms-full.txt](Full Documentation for LLMs): Single token-efficient file containing all chapters and visual catalogs across the library.