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Recommended Mathematics Reading

From The Student Room

Now, I know mathematicians don't like reading, and I should really just let you get on with World of Warcraft or M13 or whatever, but if you want to take a degree in Maths, it might be nice to have a book to talk about in your interview. And the physicists have got one, so we have to have one too. Here's the collated recommendations from various threads on the site. I give multiple recommendations for the same book to give a feel for popularity.

Contents

Chaos

  • Does God Play Dice by Ian Stewart

Recommended here and here. An introduction to chaotic dynamics. Doesn't contain that many actual sums, but lots of pretty pictures, and a good overview of the role of chaos. Quite a popularist style.

  • Chaos by James Gleick

Quite Physicsy, but a good read, yet again quite biographical, some have said that it gets hard work to read quite soon after opening! MrMathsGenius. NB: I've seen this dissed a couple of times on the threads that provide the source for this page. Mr Dactyl

Cryptography

  • The Codebook by Simon Singh

Recommended here. Interesting exploration into the different types of codes and CYPHERS used throughout history. Is a very good GENERAL MATHS BOOK, covering elements of basic number theory, physics (potential of photon money!), statistics (frequency Analysis) and computing. I found it interesting but view it more as an encyclopedia for reference rather than a comprehensive account. Says MrMathsGenius.

  • The Mathematics of Ciphers by S.C. Coutinho

Recommended here.

  • In Code by Sara Flannery

Recommended here.

History of Mathematics

  • A History of Mathematics by Carl B. Boyer

Recommended here.

  • My Brain is Open: The Mathematical Journeys of Paul Erdos by Bruce Schecter

Yet another biographical book, but well worth the read! Not that much maths in it, but looks interesting. MrMathsGenius.

  • The Man who knew Infinity by Robert Kanigel

Book about Ramanujan, yet again more biographical, but still worth a look.

  • Infinity: The Quest to Think the Unthinkable by Brian Clegg

Am currently reading this. This is definitely one of the better books on the subject. A chronological biography of the concept of infinity, from Greeks to present day. Says MrMathsGenius.

Mathematical Physics

  • A Brief History of Time by Stephen Hawking

Recommended here.

  • The Elegant Universe by Brian Greene

A book about string theory, but most of the book is about relativity and quantum mechanics etc, says Speleo.

  • The Fabric of the Cosmos by Brian Greene

Sequel to the above. Focuses more on new research. Both books are very interesting.

Other

  • Concepts in Modern Mathematics by Ian Stewart

Recommended here.

  • Fermat's Last Theorem by Simon Singh

Recommended here, here, here, here, here, here, here, here, here, here, here and here. So basically, read this.

  • The Emperor's New Mind by Roger Penrose

Recommended here.

  • The Road to Reality by Roger Penrose

Recommended here and here.

  • Introduction to Mathematical Philosophy by Bertram Russell

Recommended here.

  • The Millenium Problems by Keith Devlin

Recommended here and here.

  • God Created the Integers by Stephen Hawking

Recommended here.

  • A Mathematician's Apology by G. H. Hardy

Recommended here and here.

  • The Mathematical Universe by William Dunham

Recommended here.

  • The Wonders of Numbers by Clifford Pickover

Recommended here.

  • E, the Story of a Number by Eli Maor

Recommended here.

  • From Here to Infinity by Ian Stewart

Recommended here.

  • The Art of the Infinite: Our Lost Language of Numbers by Robert Kaplan

Recommended here.

  • The Equation That Couldn't Be Solved by Mario Livio

Recommended here.

  • Kepler's Conjecture by George Szpiro

Recommended here.

  • PoincarĂ©'s Prize by George Szpiro

Recommended here.

  • Four Colors Suffice by Robin Wilson

Recommended here.

  • Goedel, Escher, Bach by Douglas Hofstadter

A book about formal logic, Goedel's Incompleteness theorems, and about 400 tedious pages on neuroscience and music. It's very interesting in parts, the dialogues especially are wonderful, but about half the book has nothing to do with maths and is tedious beyond belief, says Speleo. And here and here.

  • The Music of the Primes by Marcus du Sautoy

About the Riemann hypothesis and other various topics in number theory. Recommended, says Speleo. And here, here and here.

  • What is Mathematics? by Richard Courant

Recommended here and here.

  • Flatterland by Ian Stewart

Fantastic take on a 19th century book about different geometries, starts by explaining 4d by exploring the way our 3d world would look to a 2d or 1d person! Recommended here.

  • The Number Devil: A Mathematical Adventure by Hans Magnus Enzensberger

Recommended here.

  • Art of the Infinite by Kaplan

More mainstream, targeted at expanding mathematical awareness. Certainly a good read for those who have perhaps gained Mathmophobia! MrMathsGenius. And here.

  • Concise Introduction to Pure Mathematics by Martin Liebeck

Recommended here.

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