Babel Bible
A curriculum, not a textbook

Walk the path from foundations to mastery — three times.

One source, the sciences and humanities together. Every unit speaks at three levels. Beginner for the intuitive picture. Intermediate for the formal definition with proofs and exercises. Master for graduate-level depth, with primary-source citations.

Browse 1828 unitsHow Babel Bible works

The full curriculum

13 domains · 51 sections · 1828 units

Mathematics

21 sections · 1354 units

Foundations through algebraic geometry, symplectic structures, representation theory, logic, and numerical analysis.

Precalculus foundations
27 units
Algebra & linear algebra
45 units
Analysis
122 units
Probability & stochastics
46 units
Number theory
61 units
Differential geometry
72 units
Modern geometry
241 units
Algebraic geometry
135 units
Symplectic geometry
98 units
Statistical field theory
61 units
Riemann surfaces
100 units
Representation theory
90 units
Logic
12 units
Mathematical logic
38 units
Category theory
13 units
Statistics
10 units
Numerical analysis & PDE
22 units
Dynamical systems & ergodic theory
24 units
Operator algebras & NCG
34 units
Combinatorics & graph theory
59 units
Numerical analysis & scientific computing
44 units

Physics

6 sections · 152 units

Classical mechanics through QFT, statistical mechanics, and general relativity.

Classical mechanics
14 units
Quantum mechanics
2 units
Electromagnetism & special relativity
15 units
Statistical mechanics
14 units
Quantum mechanics & QFT
76 units
General relativity & cosmology
31 units

Chemistry

3 sections · 36 units

General, physical, organic, and inorganic — built on the quantum-mechanical core.

General & physical chemistry
13 units
Organic chemistry
14 units
Inorganic chemistry
9 units

Biology

3 sections · 49 units

Molecular and cellular through organismal, ecological, and evolutionary biology.

Molecular & cellular biology
18 units
Organismal biology
13 units
Ecology & evolution
18 units

Health & medicine

1 section · 8 units

Clinical and applied physiology, public health, and the biology of disease.

Health & medicine
8 units

Earth & space

2 sections · 14 units

Earth systems, planetary science, and astronomy from observation to cosmology.

Earth science
8 units
Astronomy
6 units

Computing

1 section · 12 units

Computer science: algorithms, systems, languages, theory of computation.

Computer science
12 units

Philosophy

1 section · 18 units

The methods and history of thought that shape every other domain.

Philosophy
18 units

Mind & society

3 sections · 26 units

Psychology, sociology, and anthropology — how minds and groups work.

Psychology
12 units
Sociology
8 units
Anthropology
6 units

Language

3 sections · 54 units

Grammar, writing, and the techniques that move literature.

Grammar
24 units
Writing
11 units
Literature techniques
19 units

Arts

1 section · 8 units

Music, visual art, and the structures of aesthetic practice.

Music & art
8 units

History

2 sections · 34 units

World history and the history of science — how knowledge and societies developed.

World history
26 units
History of science
8 units

World

4 sections · 63 units

Economics, civics, geography, and media literacy — how the human world is structured.

Economics
30 units
Civics
15 units
Geography
12 units
Media literacy
6 units

What this is

A self-contained curriculum across the sciences and humanities — math, physics, chemistry, biology, philosophy, language, and the social world. The same concept three times: an intuitive picture for the curious, a formal treatment with exercises for the rigorous, and a deep treatment with original-source citations for graduate readers.

Every unit anchors on the canonical literature of its field and contextualises the original conception alongside the modern synthesis. Cross-references are validated at build time. Where Mathlib covers a result, Lean formalisation status is tracked per-unit. The whole thing builds clean.