For the autodidact

A Nobel laureate's complete syllabus, free at Utrecht; its first instruction is be serious about it.

1940, revised with Van Doren in 1972; the shelf below presumes this book — reading, taught as a discipline.

Nine strategies from the man who ran MIT's four-year computer-science curriculum in twelve months; self-education as a contact sport.

Princeton, 1945; understand, plan, execute, look back — problem-solving taught as a craft, not a gift.

Four volumes, four co-authors, 2013–2023; the bound form of the lectures at #41 — the minimum a theorist must know, and no more.

Caltech, 1962–63; free to read online, not to download — the canon's terms, and fair ones.

2004, over a thousand pages, the first sixteen chapters mathematics alone; it earns its place by refusing to skip.

The standard since 1981, now in its fifth edition at Cambridge; it got there the slow way — by teaching everyone.

1995, third edition 2018 with Schroeter; the gate through which most of the field has passed.

Finished by San Fu Tuan after the author's death, 1985; where the second course in quantum mechanics begins.

2003, grown from his MIT course; general relativity with the cosmology left in — the modern text, not the museum piece.

1995, 842 pages; the field-theory apprenticeship happens in its exercises — there is no shorter honest route.

2004; string theory brought down to undergraduates — Green, Schwarz, and Polchinski signed the cover, sanctioning the descent.

Two volumes, 1998, a Weinberg foreword; D-branes' discoverer wrote the field's definitive account — where the shelf tops out.

Two volumes, 1987; the first revolution's textbook by three of its makers — the source, not the summary.

1990; the geometry physicists actually need, taught in their own language — it spared a generation the mathematics shelf.

1967; 'a critical success, but a commercial failure,' its author admitted — calculus taught as real mathematics, which was the point.

1961; integration before differentiation, in the historical order — for the reader who means to become a mathematician.

Determinant-free from the first page; the fourth edition, 2024, is open access — proof that rigor can also be free.

1991; groups first, abstraction earned — algebra the way Artin taught it at MIT, and the better for it.

1953; 'Baby Rudin' to its students, Steele Prize in 1993 — analysis in the fewest possible words.

Cambridge, 2002, and the author's own PDF waits free at Cornell; the standard entrance to the subject.

2003, in Springer's yellow series; the graduate standard — you will learn manifolds from its problems or not at all.

1978; the classical doorway, and still the one geometers hand you first.

c. 375 BC; the cave, the divided line, and the question of who should rule — philosophy's first full argument.

Happiness as an activity, virtue as a habit, the mean between extremes; an ethics of practice, not of rules.

It opens: all men by nature desire to know — being as being follows; the first line is this shelf's charter.

1641; six meditations doubting everything down to the cogito — philosophy's clean room.

1748; written after the Treatise 'fell dead-born from the press' — the shorter, sharper second attempt.

His own synopsis of the Critique, 1783; whoever finds even the synopsis obscure, Kant advises, should apply his talents elsewhere.

The only philosophy book he published in his lifetime — 1921 in German, 1922 in Ogden's English; it ends whereof one cannot speak.

1912; appearance, reality, and the value of philosophy itself — the classic invitation, and still the best first hour.

1987; nine questions in a hundred pages, in plain English, from a philosopher who trusts the reader completely.

Cambridge's worst-kept secret: lecture notes from dynamics to string theory, free on the DAMTP site; they quietly replace a shelf of books.

1997; the lecture notes that became Spacetime and Geometry, still free on the arXiv — and still assigned.

Caltech's three-term course in quantum information; Preskill's notes are the primary reference — the field taught at its source.

A Fields medalist's working notebook since 2007; the closest thing to watching a great mathematician think.

Since 1984, in Boulder since 1989; the frontier summer school's lectures free on video — the field's own continuing education.

Founded in the Alps in 1951; its proceedings are the field's milestones and priced like it — the 1952–57 notes are free at UT Austin.

Announced in 2001 with a fifty-course pilot; now past 2,500 — it promised the whole institute, free, and kept the promise.

The books at #5, performed: Stanford continuing-studies lectures in the author's own voice, free.

Perimeter's master's residency, captured lecture by lecture on PIRSA; the closest thing to enrollment, free.

Since 2007, Hewlett-funded, open license; full Yale courses on video — Kagan's Death alone would justify the project.

Harvard and MIT's edX (2012), Stanford's Coursera; both audit free — watch everything, pay only for the paper.

India's answer, since 2003: the seven IITs and IISc on video, free; only the certificate exam costs — the shelf's best bargain.

Malan's course from Sanders Theatre — the same hall as Justice at #50; free down to the certificate, via Harvard's OCW.

Waterloo's monthly series, archived free back to 2002; 't Hooft and Penrose have both stood at this lectern.

The author of Lost in Math, arguing that beauty misled her field — delivered, as promised, with no hype and no spin.

Greene and Day's festival, New York, 2008; working scientists on a public stage, the archive free — science as theater, done straight.

Twelve hours from Sanders Theatre, free since 2009; it opens with a runaway trolley and a lifeboat.

Oxford philosophy and theology, 2021; the podcast has run since 2019 — Cosmic Skeptic then, Within Reason now — arguing carefully.

Joe Folley, Cambridge-trained; the canon in plain speech, Kant to Kierkegaard — the tutorial you wish you'd had.

University mathematics in careful English, from Germany; problems worked slowly and correctly — no shortcuts.

Begun in a spare room in 2017 with a hundred-dollar microphone; now atop the business charts — the long interview, done patiently.

Sanderson built the Manim engine so the mathematics could move; the result is as close as video comes to proof.

TalkTV's flagship from April 2022, YouTube-only since February 2024; the format is the argument, and the argument is the point.

Deutsche Welle's concert archive; full performances from German halls, free — the public-broadcasting dividend.

1991, a server under Ginsparg's desk at Los Alamos; now its own nonprofit — the literature has been free ever since.

SPIRES' successor, run by the labs themselves; if it happened in high-energy physics, it is cited here.

Conceived 1988, online since 1992; astrophysics' memory, kept under a NASA grant — the sky's papers answer to it.

2004, 2015, 2022; the newest, OpenAlex, is the open one — CC0, named for Alexandria on purpose.

A weekend side project; give it one paper and it draws the neighborhood — how literature gets found now.

The aggregator (2011), the directory (2003), the browser button (2017) — three honest exits from any paywall.

Bourget and Chalmers, 2009; the discipline's own index — if a philosophy paper exists, it is findable here.

Founded 1994, Elsevier's since 2016; the social sciences' preprint server, still free at both ends.

1971: Michael Hart typed the Declaration of Independence into a mainframe — the oldest digital library, still free.

Kahle began archiving the web in 1996; the Wayback Machine went public in 2001 — the library of the ephemeral.

Planned at Tufts in 1985, under Crane since; the classics in the original, every word parsed — a philologist's patience, free.

Since 1995, two entries grown past a thousand, each peer-reviewed and kept current; the reference work the internet was for.

Also 1995, from UT Martin; peer-reviewed surveys written for students — the gentler of the two.

Grown from the n-Category Café in 2008; category theory's working notebook, written by the people doing it.

Weisstein's Treasure Trove of 1995, at Wolfram since 1999; a lawsuit shut it for a year — the encyclopedia returned, and stayed.

A Soviet encyclopedia from 1977 that outlived the USSR; now a free Springer–EMS wiki — the discipline's shared memory.

Since 2006; written by experts, peer-reviewed, each article curated — authorship with its name attached.

The physics branch of Stack Exchange; precision is the house rule, and the good answers cite their sources.

'For people studying math at any level,' in its own words; MathOverflow's younger, busier sibling.

Started by Berkeley graduate students in 2009; research-level questions only — homework need not apply.

Begun in 2001 as a high-school extra-credit project; the extra credit never stopped — the web's long-running physics forum.

Simons Foundation money, editorial independence, a 2022 Pulitzer for explanatory reporting; popular science held to a standard.

Free and open-source since 2006, from George Mason's history center; the reference manager that stays out of the way.

Written in 2006 for the author's own Japanese — the name means memorization; free everywhere but the iPhone.

Local Markdown files, free since the 2020 beta; the method is older — Luhmann's ninety thousand cards wrote seventy books.