On the Shoulders of Giants investigates the relationship between the disciplines of physics and mathematics and shows how many of the most significant advances of 20th-century physics rely on mathematics developed, sometimes much earlier, with no particular physics application in mind. Quoting from mathematicians such as Poincare and Euclid and physicists such as Newton and Feynman, the links between the two disciplines are explored in the author's entertaining style, providing a fascinating account of the twists and turns in scientific progress through the ages.
IntroductionFrom Aristotle to the Structure of GlassFrom Euclid to General RelativityFrom Plucking Strings to Electrons in SolidsThe Perception of Number: From Integers to QuaternionsFrom Tiling Floors to QuasicrystalsDeterminism: From Newton to Quantum ChaosSymmetry: From Galois to SuperstringsFrom Coin Tossing to EntropyTopology: From the Bridges of Konigsberg to PolymersFrom Parabolas to FractonsMotion: From Zeno to SchrödingerAppendicesIndex