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Mathematics reading list: Cambridge, Faculty of Mathematics

Cambridge, Faculty of Mathematics lists 43 books for applicants and new students in Mathematics. The list starts with How to Solve It by George Polya, How to study for a maths degree by Lara Alcock and How to Think like a Mathematician by Kevin Houston. 3 of the books also appear on other Oxford and Cambridge lists we collected.

Source

Mathematical Reading List (September 18, 2022) (University of Cambridge), PDF. www.maths.cam.ac.uk/undergrad/admissions/files/admissions/reading-list.pdf

Retrieved 3 October 2026. Check the source for the current year's version.

The 43 books

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  1. 1.
    How to Solve It
    George Polya
  2. 2.
    How to study for a maths degree
    Lara Alcock
  3. 3.
    How to Think like a Mathematician
    Kevin Houston
  4. 4.
    Mathematics: Queen and Servant of Science
    E.T. Bell
  5. 5.
    A Russian Childhood
    S. Kovalevskaya (trans. B. Stillman)
  6. 6.
    Alan Turing, the Enigma
    A. Hodges
  7. 7.
    The Man Who Knew Infinity
    R. Kanigel
  8. 8.
    A Mathematician's Apology
    G.H. Hardy
  9. 9.
    Surely You're Joking, Mr Feynman
    R.P. Feynman
  10. 10.
    Fermat's Last Theorem
    Simon Singh
  11. 11.
    The Simpsons and Their Mathematical Secrets
    Simon Singh
  12. 12.
    The Music of the Primes
    Marcus du Sautoy
  13. 13.
    Finding Moonshine: a mathematician's journey through symmetry
    Marcus Du Sautoy
  14. 14.
    Symmetry and the Beautiful Universe
    Leon M. Lederman and Christopher T. Hill
  15. 15.
    Euler's Pioneering Equation
    Robin Wilson
  16. 16.
    The Colossal Book of Mathematics
    M. Gardner
  17. 17.
    Problem Solving Through Recreational Mathematics
    Bonnie Averbach & Orin Chein
  18. 18.
    To Infinity and Beyond
    Eli Maor
  19. 19.
    A Mathematical Mosaic
    Ravi Vakil
  20. 20.
    The Mathematical Experience
    P.J. Davis & R. Hersh
  21. 21.
    Mathematics: a very short introduction
    Timothy Gowers
  22. 22.
    Archimedes' Revenge
    P. Hoffman
  23. 23.
    The Pleasures of Counting
    T.W. Körner
  24. 24.
    Calculus for the Ambitious
    T.W. Körner
  25. 25.
    Logical Labyrinths
    Raymond S. Smullyan
  26. 26.
    Insights into Game Theory: An Alternative Mathematical Experience
    Ein-Ya Gura & Michael M. Maschler
  27. 27.
    What is Mathematics?
    R. Courant & H. Robbins
  28. 28.
    From Here to Infinity
    Ian Stewart
  29. 29.
    Chaos
    J. Gleick
  30. 30.
    Chaos and Fractals: An Elementary Introduction
    David P. Feldman
  31. 31.
    Algorithms Unlocked
    Thomas H. Cormen
  32. 32.
    A Short History of Nearly Everything
    Bill Bryson
  33. 33.
    Black Hole Blues
    Janna Levin
  34. 34.
    The Particle at the End of the Universe
    Sean Carroll
  35. 35.
    The New Quantum Universe
    T. Hey & P. Walters
  36. 36.
    A Brief History of Time
    Stephen Hawking
  37. 37.
    Advanced Problems in Mathematics: Preparing for University
    S.T.C. Siklos
  38. 38.
    Mathematical Methods for Science Students
    G. Stephenson
  39. 39.
    Mathematical Methods for Physics and Engineering
    K F Riley, M P Hobson & S J Bence
  40. 40.
    Groups: A Path to Geometry
    R.P. Burn
  41. 41.
    Yet Another Introduction to Analysis
    V. Bryant
  42. 42.
    A First Course in Mechanics
    Mary Lunn
  43. 43.
    Understanding Probability
    Henk Tijm

Other Mathematics lists

All university reading lists, and the books they share →

How this list was made

We fetched the list from the institution's own page or PDF on the date shown and recorded each title and author as printed. We did not add books, and we copied no descriptions. Obvious misprints are corrected and marked. The extraction was done with AI assistance and checked against the source. Lists change every year, so check the source page before you buy anything.