Volume I
Elements
From Number to Form
22 chapters · 710 p.
Explore this volume ▶ Watch the film · 7 min 54 sFirst edition · available
The course, in five volumes.
A continuous journey with several starting points. Each volume sets out its prerequisites and opens the way to the next.
Volume II
Foundations
From Statement to Space
62 chapters · 1,569 p.
Explore this volume ▶ Watch the film · 7 min 31 s
Volume III
Graduate Mathematics
From Functional Analysis to Galois Theory
86 chapters · 2,590 p.
Explore this volume ▶ Watch the film · 7 min 23 s
Volume IV
Correspondences
From Class Field Theory to the Langlands Program
37 chapters · 648 p.
Explore this volume ▶ Watch the film · 8 min 14 s
Volume V
Mathematical Physics
From Symmetries to Strings
44 chapters · 1,072 p.
Explore this volume ▶ Watch the film · 8 min 28 sBuild the foundations
Volumes I–III support study with the course, exercises, methods, and expeditions. Each comes with its three companion books.
See what is included →Broaden the view
Volumes IV–V develop ideas from research: reciprocity, the Langlands program, geometry, quantum fields, and strings. Their reading apparatus is designed for this scope.
Choose your path →The complete collection
All five courses and their companions.
14 PDFs: Courses I–V, and abridged courses, compendia, and formula handbooks for I–III. One language per purchase.
$71.99instead of $101.95