The Blackboard — Graduate Physics & Mathematics

A nine-book journey from topology to QFT

A graduate study companion spanning 11 subjects across mathematics and physics — from point-set topology to quantum field theory. 198 concept cards, 44 worked examples, 66 self-check questions and chapter-by-chapter reading guides for its nine core books.

Maîtrise

Fiches dues

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Thèmes maîtrisés

seuil 70 %

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Jour J

Objectifs

Mathematics

Mathematics100 %

Physics

Physics100 %

Synthesis

Synthesis100 %

Elective

Elective100 %

Parcours

  1. Phase 0 — On-ramps

    ~4–6 months · 0 %

    Run these in parallel; ~4–6 months. This is the foundation layer — skip nothing.

    • B&F 1–10
    • Lee-Top 1–6
    • Hall 1–2
  2. Phase 1 — Core structures

    ~4–6 months · 0 %

    ~4–6 months.

    • Lee-Top 7–12
    • Hall 3–5
    • Doberkat 2
    • B&F 11–18
  3. Phase 2 — Big machinery

    ~8–12 months · 0 %

    ~8–12 months. The tracks begin to interlock.

    • Lee-Smooth 1–17
    • Hall 6–9 + App. C
    • Hatcher 2–3
    • Williams 1–5
    • Heunen–Vicary 0–7
  4. Phase 3 — Frontier

    ~6–9 months · 0 %

    ~6–9 months.

    • Williams 6–9
    • B&F 19–27
    • Lee-Smooth 19–22
    • Optional depthapprofondir
  5. Elective — any time

    · 0 %

    Independent of everything; needs PDE comfort.

    • Pierce 1–3optionnel
    • Pierce 4–11optionnel

Colonne vertébrale — la route minimale

  1. B&F Parts I–II (Ch. 1–18)
  2. Lee-Topological Ch. 2–12
  3. Hall Parts I–II + App. C
  4. Lee-Smooth Ch. 1–17
  5. Williams (all)

12 thèmes

1Quantum Mechanics6 fiches
2Topology & the Fundamental Group6 fiches
3Lie Groups, Algebras & Representations6 fiches
4Category Theory6 fiches
5Entanglement & Nonlocality6 fiches
6Smooth Manifolds6 fiches
7Algebraic Topology6 fiches
8Quantum Field Theory6 fiches
9Categorical Quantum Mechanics6 fiches
10Entropy, Channels & Open Systems6 fiches
11Acoustics6 fiches
12Curriculum & reading plan0 fiches