This volume is the seventh in the seriesCollected Papers of John Milnor. Together with the preceding Volume VI, it contains all of... Læs mere
Treats the classical parts of mapping degree theory, with a detailed account of its history traced back to the first half of the 18th century. This title includes 180 exercises and problems of different scope and difficulty.
Discusses, from a working mathematician's point of view, the mystery of mathematical intuition: Why are certain... Læs mere
Introduces $p$-adic numbers from the point of view of number theory, topology, and analysis. Covering several topics from real analysis and elementary topology, this... Læs mere
Presents a course in the geometry of convex polytopes in arbitrary dimension, suitable for an advanced undergraduate or beginning graduate student. This book starts... Læs mere
Suitable for a first year graduate course on global analysis, this title proves the basics of Fourier transforms, Sobolev theory and interior regularity at the same time as symbol calculus, culminating in beautiful results in global analysis, real and complex.
Aims to give an exposition of generalized (co)homology theories that can be read by mathematicians who are not experts in algebraic topology. This work starts with basic notions... Læs mere
One of the greatest accomplishments in the history of cryptography occurred in 1940 when Arne Beurling broke the German code... Læs mere
The theory of $D$-modules is a very powerful point of view, bringing ideas from algebra and algebraic geometry to the analysis of systems of differential equations. It... Læs mere
Focuses on semilinear wave equations with critical Sobolev exponents and on wave maps in two space dimensions.