Chapter dependency map

Chapters are written to be read in order, but nobody reads a textbook in order. This page says what each chapter actually assumes, so you can jump to the topic you need and know exactly what to backfill.

The shape of the book

Part I    Foundations           1 → 2 → 3 → 4          (everything starts here)
Part II   Balance & adjustment  4 → 5 → 6 → 7          (the load-bearing part)
Part III  Quasi-geostrophy      7 → 8 → 9, 10
Part IV   Stratification/waves  10 → 11 → 12 → 13
Part V    Instabilities         14; 7 → 15 → 16 → 17
Part VI   Turbulence & circ.    8 → 18 → 19; 7 → 20; 14 → 21
Part VII  Structure (optional)  22, 23, 24 — never a prerequisite for anything

Two chapters carry more weight than any others: Ch. 6 (rotating shallow water — the source of the deformation radius, PV, and adjustment) and Ch. 7 (vorticity and PV inversion — the two-step algorithm behind every simulation from Ch. 8 onward). If you are lost anywhere in the book, the odds are good the missing piece is in one of those two.

What each chapter builds on

“Builds on” means concepts you need, not merely code that gets reused — the shared gfdlib machinery travels invisibly. Parenthetical chapters are helpful but skippable.

Chapter	Builds on
1. Kinematics & the material derivative	— (start here)
2. Governing equations & Boussinesq	1
3. Rotation	2
4. Scaling & the Ro–Bu regime map	2, 3
5. Geostrophic & hydrostatic balance	2, 4
6. Rotating shallow water & adjustment	3, 5
7. Vorticity & potential vorticity	1, 6
8. The QG approximation	6, 7
9. Rossby waves & ray tracing	8
10. Two-layer QG & APE	7, 8
11. Stratification & vertical modes	10
12. Internal gravity waves	11
13. Wave–mean interaction	9, 12 (1)
14. Convection & Lorenz chaos	2
15. Barotropic instability	7
16. Baroclinic instability	5, 10, 15
17. Symmetric & other instabilities	5, 15
18. Geostrophic turbulence	7, 8
19. Eddy transport & mixing	18
20. Wind-driven gyres	7
21. Overturning circulation	14
22. Hamiltonian GFD	7
23. Wave activity & non-acceleration	8, 13
24. Balanced models & the slow manifold	6, 8

Shortest paths to the destinations people actually want

Baroclinic instability (Ch. 16, the book’s centerpiece): 1 → 2 → 3 → 4 → 5 → 6 → 7 → 8 → 10 → 15 → 16. Ten chapters, and every one earns its place — this is the book’s main sequence.
Geostrophic turbulence and jets (Ch. 18): 1 → 2 → 3 → 4 → 5 → 6 → 7 → 8 → 18. You can defer Parts IV and V entirely.
Chaos and the Lorenz system (Ch. 14): 1 → 2 → 14. The shortest worthwhile detour in the book — no rotation required.
Internal waves and mixing (Chs. 12–13): the Part I–II spine, then 10 → 11 → 12 → 13 (with Ch. 9 before Ch. 13’s ray-tracing half).
The ocean circulation chapters (Chs. 20–21): Ch. 20 needs only the spine through Ch. 7 (plus $\beta$ intuition from Ch. 8); Ch. 21 needs Ch. 14’s convection machinery.

Part VII is the optional capstone: it revisits the whole book through Hamiltonian and wave–mean-flow structure, so it draws on everything — but nothing draws on it. Skipping it costs no later chapter.