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Reading List · Mathematics & Science

100 Best Very Short Introductions in Math and Science

Ten shelves of ten, read in order, from counting to consciousness.

  • 100 books
  • 10 shelves
  • 92 authors
  • 2000–2025

INumber & Shape

  1. Cover: Mathematics: A Very Short Introduction
  2. Cover: Numbers: A Very Short Introduction
  3. Cover: Algebra: A Very Short Introduction
  4. Cover: Number Theory: A Very Short Introduction
  5. Cover: Geometry: A Very Short Introduction
  6. Cover: Trigonometry: A Very Short Introduction
  7. Cover: Topology: A Very Short Introduction
  8. Cover: Mathematical Analysis: A Very Short Introduction
  9. Cover: Infinity: A Very Short Introduction
  10. Cover: Symmetry: A Very Short Introduction

IIChance, Logic & Pattern

  1. Cover: Probability: A Very Short Introduction
  2. Cover: Statistics: A Very Short Introduction
  3. Cover: Measurement: A Very Short Introduction
  4. Cover: Combinatorics: A Very Short Introduction
  5. Cover: Logic: A Very Short Introduction
  6. Cover: Gödel's Theorem: A Very Short Introduction
  7. Cover: Chaos: A Very Short Introduction
  8. Cover: Fractals: A Very Short Introduction
  9. Cover: Applied Mathematics: A Very Short Introduction
  10. Cover: The History of Mathematics: A Very Short Introduction

IIIComputation & Information

  1. Cover: Computer Science: A Very Short Introduction
  2. Cover: The History of Computing: A Very Short Introduction
  3. Cover: Cryptography: A Very Short Introduction
  4. Cover: Information: A Very Short Introduction
  5. Cover: Networks: A Very Short Introduction
  6. Cover: Complexity: A Very Short Introduction
  7. Cover: Artificial Intelligence: A Very Short Introduction
  8. Cover: Game Theory: A Very Short Introduction
  9. Cover: Risk: A Very Short Introduction
  10. Cover: Mathematical Finance: A Very Short Introduction

IVThe Laws

  1. Cover: Physics: A Very Short Introduction
  2. Cover: Relativity: A Very Short Introduction
  3. Cover: Quantum Theory: A Very Short Introduction
  4. Cover: Particle Physics: A Very Short Introduction
  5. Cover: Nuclear Physics: A Very Short Introduction
  6. Cover: Nothing: A Very Short Introduction
  7. Cover: The Laws of Thermodynamics: A Very Short Introduction
  8. Cover: Entropy: A Very Short Introduction
  9. Cover: Gravity: A Very Short Introduction
  10. Cover: Time: A Very Short Introduction

VMatter, Light & Waves

  1. Cover: Light: A Very Short Introduction
  2. Cover: Sound: A Very Short Introduction
  3. Cover: Waves: A Very Short Introduction
  4. Cover: Magnetism: A Very Short Introduction
  5. Cover: Superconductivity: A Very Short Introduction
  6. Cover: Matter: A Very Short Introduction
  7. Cover: Condensed Matter Physics: A Very Short Introduction
  8. Cover: Soft Matter: A Very Short Introduction
  9. Cover: Fluid Mechanics: A Very Short Introduction
  10. Cover: Nanotechnology: A Very Short Introduction

VIElements & Molecules

  1. Cover: Chemistry: A Very Short Introduction
  2. Cover: The Periodic Table: A Very Short Introduction
  3. Cover: The Elements: A Very Short Introduction
  4. Cover: Molecules: A Very Short Introduction
  5. Cover: Physical Chemistry: A Very Short Introduction
  6. Cover: Organic Chemistry: A Very Short Introduction
  7. Cover: Crystallography: A Very Short Introduction
  8. Cover: Materials: A Very Short Introduction
  9. Cover: Water: A Very Short Introduction
  10. Cover: The History of Chemistry: A Very Short Introduction

VIICosmos

  1. Cover: Cosmology: A Very Short Introduction
  2. Cover: Astrophysics: A Very Short Introduction
  3. Cover: Black Holes: A Very Short Introduction
  4. Cover: Galaxies: A Very Short Introduction
  5. Cover: Stars: A Very Short Introduction
  6. Cover: The Sun: A Very Short Introduction
  7. Cover: Planets: A Very Short Introduction
  8. Cover: Moons: A Very Short Introduction
  9. Cover: Planetary Systems: A Very Short Introduction
  10. Cover: Astrobiology: A Very Short Introduction

VIIIEarth

  1. Cover: The Earth: A Very Short Introduction
  2. Cover: Geology: A Very Short Introduction
  3. Cover: Plate Tectonics: A Very Short Introduction
  4. Cover: Volcanoes: A Very Short Introduction
  5. Cover: Earth System Science: A Very Short Introduction
  6. Cover: The Atmosphere: A Very Short Introduction
  7. Cover: Weather: A Very Short Introduction
  8. Cover: Oceans: A Very Short Introduction
  9. Cover: Tides: A Very Short Introduction
  10. Cover: Climate: A Very Short Introduction

XHow We Know

  1. Cover: Philosophy of Science: A Very Short Introduction
  2. Cover: The Scientific Revolution: A Very Short Introduction
  3. Cover: The History of Physics: A Very Short Introduction
  4. Cover: The History of Astronomy: A Very Short Introduction
  5. Cover: Copernicus: A Very Short Introduction
  6. Cover: Galileo: A Very Short Introduction
  7. Cover: Newton: A Very Short Introduction
  8. Cover: Darwin: A Very Short Introduction
  9. Cover: Niels Bohr: A Very Short Introduction
  10. Cover: Pseudoscience: A Very Short Introduction

Ten rows, ten shelves · tap a cover to jump to it · the spine route

Oxford University Press has been publishing the Very Short Introductions since 1995. There are more than eight hundred of them now, they are all the same size, they all run to roughly 150 pages, and they are all written by someone who actually works on the subject. The series has a Fields medalist explaining what mathematics is, the man who built Babbage's engine explaining computers, and the physicist who has explained CERN to the public for forty years explaining the vacuum. No other series on earth has that bench.

That is also the problem with it. Eight hundred small identical books are a wall, not a shelf. Most lists of the “best” Very Short Introductions are really lists of the ones that sold, and a bestseller list is the opposite of a reading order. What I wanted was something narrower and stranger: one hundred of them, chosen from the mathematics and natural science titles alone, that fit together. Not the hundred best books, but the hundred that add up to one education.

So here is the rule I set myself. Ten shelves. Ten books on each. The shelves run in an order, from the counting numbers to the question of what science even is, and the books on each shelf run in an order too. Every book on the list is paired with one other book on the list, the one it should be read beside, so the whole thing is a web and not a pile. Each shelf opens with the book that defines its subject. And if a hundred is too many, there is a ten-book spine down the middle, one book per shelf, that is the shortest honest path through the lot.

A few things were ruled out on purpose. No medicine and no psychology, except where the subject is the physical brain itself. No biographies except the four or five whose subjects changed what science is. No titles outside the series, however good, so Hardy and the rest of the short-book canon live elsewhere on this site. Where a title has a newer edition, I mean the newest one. And I have tried to be honest about age: the oldest book here is from 2000 and the newest from 2025, and when one of them has been overtaken by events I say so.

The whole stack is about fifteen thousand pages. At a book a week, two years. At a shelf a season, two and a half. It is the only complete science education I know of that fits in one drawer.

The shortest path

The Spine: Ten Books, One per Shelf

If you only read ten, read these ten, in this order. Each one is the book on its shelf that the other nine lean on. Together they run from what a number is to what a theory is, with nothing left out that a curious adult needs.

  1. 01
    Cover: Mathematics: A Very Short Introduction

    Mathematics

    I · Timothy Gowers

  2. 02
    Cover: Probability: A Very Short Introduction

    Probability

    II · John Haigh

  3. 03
    Cover: Information: A Very Short Introduction

    Information

    III · Luciano Floridi

  4. 04
    Cover: Quantum Theory: A Very Short Introduction

    Quantum Theory

    IV · John Polkinghorne

  5. 05
    Cover: Light: A Very Short Introduction

    Light

    V · Ian A. Walmsley

  6. 06
    Cover: The Periodic Table: A Very Short Introduction

    The Periodic Table

    VI · Eric R. Scerri

  7. 07
    Cover: Cosmology: A Very Short Introduction

    Cosmology

    VII · Peter Coles

  8. 08
    Cover: The Earth: A Very Short Introduction

    The Earth

    VIII · Martin Redfern

  9. 09
    Cover: Evolution: A Very Short Introduction

    Evolution

    IX · Brian Charlesworth

  10. 10
    Cover: Philosophy of Science: A Very Short Introduction

    Philosophy of Science

    X · Samir Okasha

Shelf I · 10 books

Number & Shape

Counting to curvature

The first shelf is pure mathematics, and it starts with the only question that matters: what is the subject about? Gowers answers it in the first book, and the next nine take his answer, that mathematics is the study of what follows from definitions, and apply it to numbers, equations, shapes, limits, and the infinite.

  1. Cover: Mathematics: A Very Short Introduction

    I.1· Spine 01

    Mathematics

    Timothy Gowers · 2002 · No. 066

    A Fields medalist spends 140 pages arguing that mathematics is not about numbers but about what follows from definitions, and that the right question is never “what is the square root of minus one” but “what should it mean.” The best short book on the subject ever written, and the one every other book on this list assumes you have read.
  2. Cover: Numbers: A Very Short Introduction

    I.2

    Numbers

    Peter M. Higgins · 2011 · No. 260

    The story of each number system being invented the moment the last one ran out: naturals, negatives, fractions, irrationals, complex numbers. Higgins makes the invention feel inevitable each time, which is exactly how it felt to the people who did it.
  3. Cover: Algebra: A Very Short Introduction

    I.3

    Algebra

    Peter M. Higgins · 2015 · No. 447

    From the moment a letter first stood for an unknown to the groups, rings and fields of the modern subject, in a book that never pretends the two are different disciplines. The chapter on why the quintic cannot be solved is the clearest I know.
  4. Cover: Number Theory: A Very Short Introduction

    I.4

    Number Theory

    Robin Wilson · 2020 · No. 636

    Primes, congruences, perfect numbers, Fermat's little theorem, and a closing look at the Riemann hypothesis and Fermat's last theorem. Wilson writes as a teacher who has watched exactly where readers stumble, and he puts a handrail there.
  5. Cover: Geometry: A Very Short Introduction

    I.5

    Geometry

    Maciej Dunajski · 2022 · No. 695

    Starts with Euclid and ends in curved spacetime, which is the honest arc of the subject. Dunajski is a mathematical physicist, so the non-Euclidean chapters are not a curiosity but the point, and general relativity arrives as geometry's natural conclusion.
  6. Cover: Trigonometry: A Very Short Introduction

    I.6

    Trigonometry

    Glen Van Brummelen · 2020 · No. 626

    Trigonometry was invented to measure the sky, not triangles, and Van Brummelen, the leading historian of the subject, tells it that way: chord tables, spherical triangles, navigation. The most surprising book on the shelf, because nobody expects trigonometry to have a plot.
  7. Cover: Topology: A Very Short Introduction

    I.7

    Topology

    Richard Earl · 2019 · No. 622

    The bridges of Königsberg, the Euler characteristic, the classification of surfaces, and why a Möbius strip has only one side. Earl gets to real theorems with real proofs without ever losing a reader who has only school mathematics.
  8. Cover: Mathematical Analysis: A Very Short Introduction

    I.8

    Mathematical Analysis

    Richard Earl · 2023 · No. 734

    What a limit actually is, why the real numbers needed building, and how calculus went a century without a foundation before Weierstrass gave it one. The book that explains why your calculus course felt like it was hiding something, and what.
  9. Cover: Infinity: A Very Short Introduction

    I.9

    Infinity

    Ian Stewart · 2017 · No. 519

    Hilbert's hotel, Cantor's diagonal, the sizes of infinity, and infinitesimals rehabilitated. Stewart has written forty popular books and this is the one where he is most careful, because the subject punishes carelessness.
  10. Cover: Symmetry: A Very Short Introduction

    I.10

    Symmetry

    Ian Stewart · 2013 · No. 353

    Galois, group theory, wallpaper patterns and the symmetries of physical law, all treated as one idea. The shelf ends here because symmetry is where algebra and geometry turn out to be the same subject, and where mathematics starts to describe the world.

Shelf II · 10 books

Chance, Logic & Pattern

What follows, what is likely, what repeats

The second shelf is mathematics meeting the world: probability and statistics, measurement, counting, the limits of proof, and the two branches, chaos and fractals, where simple rules produce things no one expected. It closes with the history of the subject, which reads differently once you know some of it.

  1. Cover: Probability: A Very Short Introduction

    II.1· Spine 02

    Probability

    John Haigh · 2012 · No. 310

    Dice, Bayes, the law of large numbers, and the puzzles that fool everybody, including the one that fooled the mathematicians. Haigh is precise about what probability can and cannot say, which is rarer than it should be.
  2. Cover: Statistics: A Very Short Introduction

    II.2

    Statistics

    David J. Hand · 2008 · No. 196

    Not a book of formulas but a book about what statistics is for: pulling meaning out of data without fooling yourself. Hand was president of the Royal Statistical Society and writes like someone who has seen every way a study can go wrong.
  3. Cover: Measurement: A Very Short Introduction

    II.3

    Measurement

    David J. Hand · 2016 · No. 500

    The quietly radical book on the list. What a unit is, why the kilogram was a lump of metal until 2019, and what it means to measure intelligence or pain. Every science on the shelves below depends on an answer, and Hand is the only one who gives it.
  4. Cover: Combinatorics: A Very Short Introduction

    II.4

    Combinatorics

    Robin Wilson · 2016 · No. 474

    Counting things properly: pigeonholes, partitions, Latin squares and the mathematics behind Sudoku. The friendliest entry on the shelf and the one most likely to make a reader pick up a pencil.
  5. Cover: Logic: A Very Short Introduction

    II.5

    Logic

    Graham Priest · 2000 · No. 029

    Each chapter is a puzzle: validity, the liar, vagueness, possibility, probability. Priest is the philosopher who argues that some contradictions are true, so this is logic taught by someone who has tested its edges, and it shows in the best way.
  6. Cover: Gödel's Theorem: A Very Short Introduction

    II.6

    Gödel's Theorem

    A. W. Moore · 2022 · No. 718

    What the incompleteness theorems say, what they do not say, and why half the things written about them are wrong. Pair it with Nagel and Newman's Gödel's Proof and you have the whole story in under 300 pages.
  7. Cover: Chaos: A Very Short Introduction

    II.7

    Chaos

    Lenny Smith · 2007 · No. 159

    Determinism without predictability, Lorenz's butterfly, and what a forecast actually is, written by a man who works on predictability for a living. The honest answer to “if the equations are known, why can't we predict it” is here.
  8. Cover: Fractals: A Very Short Introduction

    II.8

    Fractals

    Kenneth Falconer · 2013 · No. 367

    Dimension that is not a whole number, coastlines that get longer the closer you look, the Mandelbrot set, and the Menger sponge. Falconer wrote the standard textbook, and this is the same mathematics with the proofs left for later.
  9. Cover: Applied Mathematics: A Very Short Introduction

    II.9

    Applied Mathematics

    Alain Goriely · 2018 · No. 555

    What modelling is, from why a falling cat lands on its feet to how the brain folds. Goriely models plants, brains and tumours at Oxford and writes with a working mathematician's impatience with vagueness. The best argument on the list that mathematics is a way of looking.
  10. Cover: The History of Mathematics: A Very Short Introduction

    II.10

    The History of Mathematics

    Jacqueline Stedall · 2012 · No. 305

    Deliberately not a parade of great men. Stedall asks who actually did mathematics, where, for whom, and what counted as a proof in 1600 or 1850, with case studies instead of a timeline. Read it after Gowers; the long version is on this site too.

Shelf III · 10 books

Computation & Information

Machines, messages, and decisions

A shelf for the mathematics that became a technology. What a computer is and how it came to be, how secrets are kept, what information is, how networks and complex systems behave, and the three places, games, risk and markets, where mathematics is asked to decide something.

  1. Cover: Computer Science: A Very Short Introduction

    III.1

    Computer Science

    Subrata Dasgupta · 2016 · No. 466

    Computer science as a science of the artificial: algorithms, abstraction, and the layered architecture that lets a program not care what it runs on. Dasgupta is clear about what the subject is and, more usefully, about what it is not.
  2. Cover: The History of Computing: A Very Short Introduction

    III.2

    The History of Computing

    Doron Swade · 2022 · No. 714

    Swade led the team that built Babbage's Difference Engine No. 2 from the original drawings, so his history runs from mechanical calculation to the internet with a builder's eye. The chapters on what computing was before electronics are the best short account anywhere.
  3. Cover: Cryptography: A Very Short Introduction

    III.3

    Cryptography

    Fred Piper, Sean Murphy · 2002 · No. 068

    Substitution ciphers to public-key systems in a book written by two working cryptographers. It predates the modern internet's stack but the ideas, especially why factoring large numbers keeps your bank safe, have not changed.
  4. Cover: Information: A Very Short Introduction

    III.4· Spine 03

    Information

    Luciano Floridi · 2010 · No. 225

    From Shannon's bits to the question of what makes information meaningful, by the philosopher who has thought hardest about living in an infosphere. The spine book for this shelf because it is the only one that asks what the rest are made of.
  5. Cover: Networks: A Very Short Introduction

    III.5

    Networks

    Guido Caldarelli, Michele Catanzaro · 2012 · No. 335

    Six degrees, hubs, scale-free networks and cascading failures, from Euler's bridges to the web and the power grid. A compact field guide to the one piece of mathematics that describes friendships, epidemics and the internet with the same equations.
  6. Cover: Complexity: A Very Short Introduction

    III.6

    Complexity

    John H. Holland · 2014 · No. 392

    Holland invented genetic algorithms, and this was one of his last books: emergence, complex adaptive systems, and why ant colonies, markets and immune systems rhyme. Dense for its size, and worth every reread.
  7. Cover: Artificial Intelligence: A Very Short Introduction

    III.7

    Artificial Intelligence

    Margaret A. Boden · 2018 · No. 575

    Written by a founder of cognitive science two years before large language models arrived, which makes it more useful, not less. Boden's questions, what intelligence is, whether a machine could have it, what we would owe it, are the ones the current wave still has not answered.
  8. Cover: Game Theory: A Very Short Introduction

    III.8

    Game Theory

    Ken Binmore · 2007 · No. 173

    The prisoner's dilemma, Nash equilibrium, bargaining and evolution, by the economist who designed the auction that raised £22 billion for the British government. Binmore is funny and merciless, and never confuses the mathematics with moral advice.
  9. Cover: Risk: A Very Short Introduction

    III.9

    Risk

    Baruch Fischhoff, John Kadvany · 2011 · No. 270

    How people, experts and institutions judge danger, and why the numbers and the feelings so rarely agree. Fischhoff spent a career studying exactly that gap, and the book is as much about how to communicate a probability as how to compute one.
  10. Cover: Mathematical Finance: A Very Short Introduction

    III.10

    Mathematical Finance

    Mark H. A. Davis · 2019 · No. 592

    Arbitrage, Black and Scholes, and the strange fact that you can price an option without knowing which way the stock will go. Davis was one of the field's leading stochastic analysts and keeps the mathematics honest, including about where it fails.

Shelf IV · 10 books

The Laws

Physics from the very fast to the very small

Physics proper. The shelf opens with a book on what physics is, moves through relativity and quantum theory, descends into the particle and the nucleus, and then takes on the three ideas, the vacuum, entropy and time, that every physicist spends a career not quite getting over.

  1. Cover: Physics: A Very Short Introduction

    IV.1

    Physics

    Sidney Perkowitz · 2019 · No. 606

    What physicists do all day, how the field is organised, and where it sits in culture, by a physicist who has spent decades explaining it in public. The orientation chapter the other nine books on this shelf never bother to write.
  2. Cover: Relativity: A Very Short Introduction

    IV.2

    Relativity

    Russell Stannard · 2008 · No. 190

    Special and general relativity with almost no mathematics and no loss of honesty: the twins, the clocks, the curvature. Stannard taught physics to the Open University for decades, and it shows. Read it beside Einstein's own manuscript.
  3. Cover: Quantum Theory: A Very Short Introduction

    IV.3· Spine 04

    Quantum Theory

    John Polkinghorne · 2002 · No. 069

    Polkinghorne was a Cambridge professor of mathematical physics before becoming a priest, and he writes about quantum mechanics as someone who has had to decide what he actually believes. The chapter on interpretations is the fairest in print at this length.
  4. Cover: Particle Physics: A Very Short Introduction

    IV.4

    Particle Physics

    Frank Close · 2004 · No. 109

    The Standard Model, the accelerators that built it, and the questions it leaves open, from the physicist who has explained CERN to the public for forty years. Written before the Higgs was found; the later editions say what finding it changed.
  5. Cover: Nuclear Physics: A Very Short Introduction

    IV.5

    Nuclear Physics

    Frank Close · 2015 · No. 438

    The nucleus as a world of its own: why some are stable, how stars cook the elements, what fission and fusion actually do. The companion to the particle book, and the one that connects the very small to the very large.
  6. Cover: Nothing: A Very Short Introduction

    IV.6

    Nothing

    Frank Close · 2009 · No. 205

    The vacuum turns out to be the busiest place in physics: from Aristotle's horror of the void to the Casimir effect and the Higgs field. The most elegant book on the shelf and the one most people have never heard of.
  7. Cover: The Laws of Thermodynamics: A Very Short Introduction

    IV.7

    The Laws of Thermodynamics

    Peter Atkins · 2010 · No. 226

    Four laws, one hundred pages, no shortcuts. Atkins defines temperature, energy and entropy from scratch and shows why the second law is the one that gives the universe a direction. Thermodynamics is the physics that will outlive every other theory on this shelf.
  8. Cover: Entropy: A Very Short Introduction

    IV.8

    Entropy

    James Binney · 2025 · No. 779

    The newest book on the list, and a worthy sequel to Atkins. Binney treats entropy as information from the start, so the steam engine, the black hole and the deleted file turn out to be one subject. Hard in places; the right kind of hard.
  9. Cover: Gravity: A Very Short Introduction

    IV.9

    Gravity

    Timothy Clifton · 2017 · No. 512

    Newton to Einstein to the first detection of gravitational waves, which happened while the book was being written. Clifton tests general relativity for a living, and his chapter on where it might still be wrong is the reason to read this rather than any other gravity book.
  10. Cover: Time: A Very Short Introduction

    IV.10

    Time

    Jenann Ismael · 2021 · No. 684

    Why physics has no arrow of time and we do, by a philosopher of physics who takes both facts seriously. Ismael's answer, that the flow of time is what the universe looks like from inside a memory, is the most satisfying I have read in this many pages.

Shelf V · 10 books

Matter, Light & Waves

Physics you can touch

The laws again, but applied to stuff. Light, sound and the single idea of a wave that unites them; magnetism and its strangest consequence; and then matter itself, hard, soft, flowing and nanoscale. This is the physics most people never meet, and the physics most things are made of.

  1. Cover: Light: A Very Short Introduction

    V.1· Spine 05

    Light

    Ian A. Walmsley · 2015 · No. 446

    Ray, wave, particle, and the quantum field that is all three, by a quantum-optics physicist who went on to run Imperial College. The chapter on what a photon is answers a question that the rainbow only raises.
  2. Cover: Sound: A Very Short Introduction

    V.2

    Sound

    Mike Goldsmith · 2016 · No. 451

    From how a violin works to how a bat sees, in a book by an acoustician who spent years measuring noise at the National Physical Laboratory. The pages on hearing, and on what loudness actually measures, make sound the sense you will never take for granted again.
  3. Cover: Waves: A Very Short Introduction

    V.3

    Waves

    Mike Goldsmith · 2018 · No. 590

    Water, sound, light, earthquakes and electrons, treated as one thing with one mathematics. The book makes you see that half of physics is the study of waves, and it is the right preface to Fourier.
  4. Cover: Magnetism: A Very Short Introduction

    V.4

    Magnetism

    Stephen J. Blundell · 2012 · No. 317

    Lodestones, compasses, Faraday's fields, and the quantum spin that makes a fridge magnet work, by the Oxford physicist who wrote the standard textbook. The history is as good as the physics, which is rare.
  5. Cover: Superconductivity: A Very Short Introduction

    V.5

    Superconductivity

    Stephen J. Blundell · 2009 · No. 204

    Zero resistance, floating magnets, and a century-long hunt for a material that does it at room temperature. One of the few books on the list about an unfinished story, and Blundell is careful to say which parts are unfinished.
  6. Cover: Matter: A Very Short Introduction

    V.6

    Matter

    Geoff Cottrell · 2019 · No. 599

    States of matter from quark-gluon plasma to neutron stars, with the ordinary solids, liquids and gases in between. Cottrell tells it as one continuous story about what happens when you squeeze or heat anything enough.
  7. Cover: Condensed Matter Physics: A Very Short Introduction

    V.7

    Condensed Matter Physics

    Ross McKenzie · 2023 · No. 722

    The largest branch of physics and the least known, because its discoveries hide in your phone. McKenzie's theme is emergence, the way a billion atoms do things no atom does, and he makes it the most important idea on the shelf.
  8. Cover: Soft Matter: A Very Short Introduction

    V.8

    Soft Matter

    Tom McLeish · 2020 · No. 652

    The physics of milk, rubber, gels and the inside of a living cell, by a polymer physicist who writes like an essayist. The book that explains why a wobbling jelly and a working protein are governed by the same ideas.
  9. Cover: Fluid Mechanics: A Very Short Introduction

    V.9

    Fluid Mechanics

    Eric Lauga · 2022 · No. 708

    Why a swimming bacterium and a jet aircraft obey the same equation, and why that equation, Navier–Stokes, is still a million-dollar open problem. Lauga studies how microbes swim, and his examples are nothing like the ones in a textbook.
  10. Cover: Nanotechnology: A Very Short Introduction

    V.10

    Nanotechnology

    Philip Moriarty · 2022 · No. 723

    What nanotechnology is, what it is sold as, and the difference. Moriarty moves single atoms with a scanning probe for a living and is wonderfully impatient with hype, including Feynman's and Drexler's. The right book to close the physics shelves on.

Shelf VI · 10 books

Elements & Molecules

Chemistry, the central science

Chemistry has always suffered from sitting between physics and biology, and this shelf is built to show why it is the bridge rather than the gap. Atkins opens and Brock closes; between them the table, the elements, the molecules, the crystals, the materials and, on its own, water.

  1. Cover: Chemistry: A Very Short Introduction

    VI.1

    Chemistry

    Peter Atkins · 2015 · No. 417

    Atkins has written the textbooks two generations of chemists learned from, and here he writes the book he would have wanted first: what chemistry is, why it sits at the centre, and what the few big ideas are. The spine of the shelf.
  2. Cover: The Periodic Table: A Very Short Introduction

    VI.2· Spine 06

    The Periodic Table

    Eric R. Scerri · 2011 · No. 289

    Scerri is the world's authority on the table as an idea: Mendeleev's gamble, where hydrogen belongs, what the rows really order. You will never look at the poster on a classroom wall the same way, which is the point.
  3. Cover: The Elements: A Very Short Introduction

    VI.3

    The Elements

    Philip Ball · 2004 · No. 104

    From Aristotle's four to the hundred and eighteen, as cultural history as much as chemistry: gold and alchemy, phosphorus and matches, uranium and the bomb. Ball is the best science writer the series has, and this is him at full stretch.
  4. Cover: Molecules: A Very Short Introduction

    VI.4

    Molecules

    Philip Ball · 2003 · No. 101

    The molecule as the real unit of chemistry, and molecules as machines, materials and messages. Ball's chapters on the molecules of life are the natural door into the biology shelves, which is why the pair here points forward.
  5. Cover: Physical Chemistry: A Very Short Introduction

    VI.5

    Physical Chemistry

    Peter Atkins · 2014 · No. 385

    Thermodynamics, kinetics, quantum chemistry and spectroscopy, the four pillars on which everything else in chemistry rests. The harder of the two Atkins books on this shelf and the one that pays off the physics shelves above.
  6. Cover: Organic Chemistry: A Very Short Introduction

    VI.6

    Organic Chemistry

    Graham Patrick · 2017 · No. 520

    Carbon's chemistry told by a medicinal chemist, so the destination is always a drug or a dye or a plastic. The clearest short explanation of why one element can make ten million compounds and the rest together cannot.
  7. Cover: Crystallography: A Very Short Introduction

    VI.7

    Crystallography

    A. M. Glazer · 2016 · No. 469

    How a beam of X-rays through a crystal reveals where every atom sits, from the Braggs to the double helix. The book where the symmetry shelf's mathematics becomes a laboratory technique, and a Nobel prize or twenty.
  8. Cover: Materials: A Very Short Introduction

    VI.8

    Materials

    Christopher Hall · 2014 · No. 405

    Gold, sand, glass, steel, concrete, carbon fibre: the stuff of everything, and why each one is the way it is. Hall is a materials scientist with a historian's instincts, and his book is as much about civilisation as about matter.
  9. Cover: Water: A Very Short Introduction

    VI.9

    Water

    John Finney · 2015 · No. 440

    The one molecule that gets a book to itself, because it breaks every rule: ice floats, hot water freezes oddly, and the hydrogen bond runs life. Finney spent his career on water's structure and still writes about it with surprise.
  10. Cover: The History of Chemistry: A Very Short Introduction

    VI.10

    The History of Chemistry

    William H. Brock · 2016 · No. 456

    Alchemy to the modern laboratory in 150 pages by the historian who wrote the long version. Brock is especially good on how chemistry became a profession, and on why Lavoisier's revolution was also a revolution in language.

Shelf VII · 10 books

Cosmos

The universe, outward from the Big Bang

The shelf runs from the largest scale to the nearest: the universe, then the physics that runs it, then black holes, galaxies, stars, our own star, the planets and moons, other planetary systems, and the question of whether anything out there is alive.

  1. Cover: Cosmology: A Very Short Introduction

    VII.1· Spine 07

    Cosmology

    Peter Coles · 2001 · No. 051

    The oldest book on the shelf, and the frame still holds: the Big Bang, expansion, the microwave background, and the dark matter and dark energy that were new when Coles wrote. Read it with Budassi's map open beside you.
  2. Cover: Astrophysics: A Very Short Introduction

    VII.2

    Astrophysics

    James Binney · 2016 · No. 470

    How we know what a star is made of without going there: the physics that turns light into knowledge. Binney wrote the standard graduate text on galaxies, and here he writes the short version of how astronomy became a physical science.
  3. Cover: Black Holes: A Very Short Introduction

    VII.3

    Black Holes

    Katherine Blundell · 2016 · No. 453

    From Schwarzschild's solution to the supermassive black holes at the hearts of galaxies, written three years before the first image of one, which it predicts with some precision. Blundell observes them for a living and is clear about what is seen versus what is inferred.
  4. Cover: Galaxies: A Very Short Introduction

    VII.4

    Galaxies

    John Gribbin · 2008 · No. 182

    The Milky Way, Hubble's discovery that it is one of billions, and the dark matter that holds each one together. Gribbin has written sixty books and this is one of his best because he has the least room.
  5. Cover: Stars: A Very Short Introduction

    VII.5

    Stars

    Andrew King · 2012 · No. 322

    Birth, life and death, and why a star's mass at birth decides everything that happens to it afterwards. King's chapters on white dwarfs, neutron stars and supernovae pay off the nuclear physics shelf, which is why they are paired.
  6. Cover: The Sun: A Very Short Introduction

    VII.6

    The Sun

    Philip Judge · 2020 · No. 638

    Our own star as the one laboratory we can actually look at: the solar cycle, the corona hotter than the surface, and the space weather that can knock out a power grid. The most practical book on an impractical shelf.
  7. Cover: Planets: A Very Short Introduction

    VII.7

    Planets

    David A. Rothery · 2010 · No. 254

    Planetary science as a discipline: volcanoes on Io, methane lakes on Titan, and what the eight planets have in common. Rothery is a planetary geologist, and the book treats each world as a place rather than a dot.
  8. Cover: Moons: A Very Short Introduction

    VII.8

    Moons

    David Rothery · 2016 · No. 450

    The moons turn out to be the most varied worlds in the solar system, and the ones with oceans under their ice are where life would most likely be. The companion to Planets, and the more surprising of the two. Ours is a special case.
  9. Cover: Planetary Systems: A Very Short Introduction

    VII.9

    Planetary Systems

    Raymond T. Pierrehumbert · 2021 · No. 693

    Five thousand known exoplanets, how solar systems form, and why ours may be unusual, by a planetary climate physicist. The book that turns the previous two from a tour of one neighbourhood into a census of the galaxy.
  10. Cover: Astrobiology: A Very Short Introduction

    VII.10

    Astrobiology

    David C. Catling · 2013 · No. 370

    What life needs, where in the universe those needs are met, and how we would know. Catling is careful, sceptical and hopeful in the right proportions, and the book ends the cosmos shelf by pointing straight at the life shelf below.

Shelf VIII · 10 books

Earth

One planet, inside out

The one planet we can study from inside. The shelf descends from the whole Earth to its rocks and plates and volcanoes, climbs back out through the air and the weather and the sea, and ends with climate, the subject on which the rest of the shelf is brought to bear.

  1. Cover: The Earth: A Very Short Introduction

    VIII.1· Spine 08

    The Earth

    Martin Redfern · 2003 · No. 090

    The planet as a single machine, core to crust to atmosphere, by a BBC science producer who knows how to keep a story moving. The right opening because it refuses to split the Earth into departments.
  2. Cover: Geology: A Very Short Introduction

    VIII.2

    Geology

    Jan Zalasiewicz · 2018 · No. 574

    Deep time, and how to read it in a cliff face. Zalasiewicz chaired the working group that made the case for the Anthropocene as a geological epoch, and he writes about four billion years as though he were there.
  3. Cover: Plate Tectonics: A Very Short Introduction

    VIII.3

    Plate Tectonics

    Peter Molnar · 2015 · No. 425

    The revolution that made geology a science in the 1960s, told by a geophysicist who joined it as a young researcher. Molnar is particularly good on what the theory could not explain at first, and on the evidence that forced the holdouts to give in.
  4. Cover: Volcanoes: A Very Short Introduction

    VIII.4

    Volcanoes

    Michael J. Branney, Jan Zalasiewicz · 2020 · No. 660

    Why volcanoes are where they are, what decides whether one oozes or explodes, and the supervolcanoes that reset the climate. The most dramatic book on the shelf and still a serious one.
  5. Cover: Earth System Science: A Very Short Introduction

    VIII.5

    Earth System Science

    Tim Lenton · 2016 · No. 464

    Lovelock's Gaia idea made rigorous: the Earth as a coupled system of rock, air, water and life, with feedbacks and tipping points. Lenton worked with Lovelock and then did the mathematics, and this is the field's best short introduction.
  6. Cover: The Atmosphere: A Very Short Introduction

    VIII.6

    The Atmosphere

    Paul Palmer · 2017 · No. 518

    What air is made of, how it circulates, and the chemistry that happens in it, including the ozone hole and the greenhouse effect done properly. Palmer measures atmospheric carbon from satellites and writes about the sky as a working system.
  7. Cover: Weather: A Very Short Introduction

    VIII.7

    Weather

    Storm Dunlop · 2017 · No. 506

    Fronts, clouds, jet streams and what a forecast is, from a writer whose name was a gift to the subject. Paired with Chaos, because a weather book without Lorenz is only half a weather book.
  8. Cover: Oceans: A Very Short Introduction

    VIII.8

    Oceans

    Dorrik Stow · 2017 · No. 529

    Seventy per cent of the planet in 150 pages: currents, the deep sea floor, the carbon the oceans hold and the life they support. Stow is a marine geologist, so the sea floor gets as much attention as the surface, which is the right proportion.
  9. Cover: Tides: A Very Short Introduction

    VIII.9

    Tides

    David George Bowers, Emyr Martyn Roberts · 2019 · No. 621

    The one book where Newton meets the fishing calendar. Tides are gravity, geometry and resonance at once, and the authors do the mathematics in plain sight. A small, perfect book that most readers will never think to look for.
  10. Cover: Climate: A Very Short Introduction

    VIII.10

    Climate

    Mark Maslin · 2013 · No. 358

    Not the change but the system: what climate is, what drives it, how it has varied over millions of years, and only then what we are doing to it. Maslin also wrote the series' Climate Change, and this is the one to read first.

Shelf IX · 10 books

Life

From the cell to consciousness

Biology, built in one direction: the theory that explains all of it, the history of it, then the cell, the gene, the embryo and the virus, then the ecosystem and the mathematics that describes it, and finally the brain and the thing the brain does that no one can explain.

  1. Cover: Evolution: A Very Short Introduction

    IX.1· Spine 09

    Evolution

    Brian Charlesworth, Deborah Charlesworth · 2003 · No. 100

    Evolution by two population geneticists, which means the evidence comes first and the arguments are the ones that actually convince biologists: fossils, genes, and the mathematics of selection. The spine book of the shelf and the one to give to a doubter.
  2. Cover: The History of Life: A Very Short Introduction

    IX.2

    The History of Life

    Michael J. Benton · 2008 · No. 193

    Four billion years, five mass extinctions, and the strange fact that complex life is a late and precarious development. Benton is a palaeontologist who has done the counting, and the book has the authority of someone who has.
  3. Cover: The Cell: A Very Short Introduction

    IX.3

    The Cell

    Terence Allen, Graham Cowling · 2011 · No. 285

    What is inside a cell and how it works, from membrane to nucleus, by two microscopists who have spent their lives looking. The chapter on the cell as a factory pays off every chemistry book on the shelf above.
  4. Cover: Genes: A Very Short Introduction

    IX.4

    Genes

    Jonathan Slack · 2014 · No. 399

    What a gene actually is, which is harder to say than it was in Mendel's day, and what it is not. Slack is a developmental biologist and refuses the usual shortcuts, so the book is a quiet correction to most of what gets written about DNA.
  5. Cover: Developmental Biology: A Very Short Introduction

    IX.5

    Developmental Biology

    Lewis Wolpert · 2011 · No. 280

    How a single egg becomes an animal. Wolpert once said that gastrulation, not birth, is the most important event of your life, and this book is the argument for it. Paired with Mathematical Biology because the patterns he describes are Turing's.
  6. Cover: Viruses: A Very Short Introduction

    IX.6

    Viruses

    Dorothy H. Crawford · 2011 · No. 276

    The virosphere, the largest and oldest population on Earth, and how its members have shaped ours. Crawford wrote this a decade before the pandemic, and reading it afterwards is the strangest experience on the list.
  7. Cover: Ecology: A Very Short Introduction

    IX.7

    Ecology

    Jaboury Ghazoul · 2020 · No. 649

    Populations, communities, ecosystems and the feedbacks between them, by an ecologist who works on tropical forests. Ghazoul treats ecology as a quantitative science with laws, which is both true and unusual for a book this size.
  8. Cover: Mathematical Biology: A Very Short Introduction

    IX.8

    Mathematical Biology

    Philip K. Maini · 2025 · No. 787

    Turing patterns, predator and prey, tumour growth, and why the leopard has spots, by the head of Oxford's mathematical biology centre. The newest book on the shelf and the one that brings the list full circle to the mathematics it started with. For the same mathematics in the wild, watch the fireflies.
  9. Cover: The Brain: A Very Short Introduction

    IX.9

    The Brain

    Michael O'Shea · 2005 · No. 144

    From neuron to nervous system, from Cajal's drawings to brain imaging. O'Shea is a neuroscientist and keeps to what is known, which makes the book a sturdy floor under the one that follows it.
  10. Cover: Consciousness: A Very Short Introduction

    IX.10

    Consciousness

    Susan Blackmore · 2005 · No. 121

    The hard problem, and Blackmore's unsettling suggestion that the self doing the wondering may be the illusion. The shelf ends here because this is where biology runs out and the next shelf has to begin.

Shelf X · 10 books

How We Know

History, philosophy, and the people who changed the rules

The last shelf steps back. What a scientific theory is and what makes one better than another; how science happened, in physics, in astronomy, and in the century that invented it; five people who changed what counts as knowing; and a closing book on what science is by what it isn't.

  1. Cover: Philosophy of Science: A Very Short Introduction

    X.1· Spine 10

    Philosophy of Science

    Samir Okasha · 2002 · No. 067

    Induction, explanation, realism, Kuhn's revolutions, and whether science can be trusted, in the book that most university courses still start with. Okasha is scrupulously fair to every side, which is why the book is still the standard.
  2. Cover: The Scientific Revolution: A Very Short Introduction

    X.2

    The Scientific Revolution

    Lawrence M. Principe · 2011 · No. 266

    The century from Copernicus to Newton, told by a historian who is also a chemist and who takes the alchemy, the theology and the magic seriously because the people doing the science did. The best corrective on the list to the textbook version.
  3. Cover: The History of Physics: A Very Short Introduction

    X.3

    The History of Physics

    J. L. Heilbron · 2018 · No. 549

    From Aristotle to the Standard Model in 150 pages by the dean of the subject's historians. Heilbron is dry, exact and occasionally savage, and the book is the one to read to understand why the physics shelves above look the way they do.
  4. Cover: The History of Astronomy: A Very Short Introduction

    X.4

    The History of Astronomy

    Michael Hoskin · 2003 · No. 088

    Stonehenge to Hubble, by the founding editor of the Journal for the History of Astronomy. Hoskin is best on the long middle, from Ptolemy to Kepler, when astronomy was the one science that worked and nobody knew why.
  5. Cover: Copernicus: A Very Short Introduction

    X.5

    Copernicus

    Owen Gingerich · 2016 · No. 487

    Gingerich spent thirty years tracking down every surviving first edition of De revolutionibus to see who had read it, and this is his short life of the man who wrote it. A book about how a quiet canon in Poland moved the Earth.
  6. Cover: Galileo: A Very Short Introduction

    X.6

    Galileo

    Stillman Drake · 2001 · No. 044

    Drake translated Galileo into English and spent his life with the manuscripts, and his Galileo is not the martyr of legend but a working physicist inventing the experiment. The strongest biography in the series, in the fewest pages.
  7. Cover: Newton: A Very Short Introduction

    X.7

    Newton

    Rob Iliffe · 2007 · No. 158

    Iliffe edits the Newton Project, which has put every surviving Newton manuscript online, and his Newton is the whole man: the Principia, the alchemy, the heresy, the Mint. Read it and then go back to the gravity shelf.
  8. Cover: Darwin: A Very Short Introduction

    X.8

    Darwin

    Jonathan Howard · 2001 · No. 035

    Darwin's ideas rather than his voyage: what he actually argued, what he got wrong, and what the twentieth century had to add before the theory was complete. Howard is an immunologist and reads Darwin as a scientist reads a colleague.
  9. Cover: Niels Bohr: A Very Short Introduction

    X.9

    Niels Bohr

    J. L. Heilbron · 2020 · No. 627

    The man who built the quantum atom and then spent the rest of his life arguing with Einstein about what it meant, by the historian who wrote the definitive study of the quantum atom. The companion to the quantum theory book, and the human side of the Copenhagen interpretation.
  10. Cover: Pseudoscience: A Very Short Introduction

    X.10

    Pseudoscience

    Michael D. Gordin · 2023 · No. 732

    The list ends with what science is not, because that turns out to be the hardest way to say what it is. Gordin shows that the line between science and pseudoscience has moved throughout history and is still moving, and that drawing it is itself scientific work.

How to Use This List

Do not start at the top unless you want to. The shelves run in a sensible order, but every shelf is self-contained and every book on it is a real front door. A reader who cares about the sky should begin on the cosmos shelf and work backwards; the physics will make more sense once you have wanted it.

Use the pairs. Each entry names one other book on the list, and the pairs were the hardest part of the job. Symmetry next to Crystallography, Entropy next to Time, Tides next to Gravity: the second book in each pair is where the first one's ideas turn out to be true about the world. Reading in pairs roughly doubles what each book teaches.

And keep the spine in your pocket. Ten books, fifteen hundred pages, one per shelf. If someone you know wants to understand science but does not know where to begin, hand them Gowers and tell them there are nine more waiting. That is how I would have liked to be started.

100 titles · all in print from Oxford University Press