Traces the thread of pi through the long history of mathematics. This book touches upon many major subjects in mathematics: geometry (of course), number theory, Galois theory, probability,... Læs mere
Develops the theory of secondary cohomology operations for singular cohomology theory, which is treated in terms of elementary constructions from general homotopy theory.... Læs mere
String theory has the potential to provide answers to key questions... Læs mere
Since the fundamental work of Lebesgue, integration has been interpreted in terms of measure theory. This work starts with the historical development of the... Læs mere
There are a number of specialties in low-dimensional topology that can... Læs mere
Places Lebesgue's early work on integration theory within in proper historical context by relating it to the developments during the nineteenth century that motivated it and gave it significance and also to the contributions made in this field by Lebesgue's contemporaries.
Presents three weeks of lectures from the IAS/Park City Mathematics Institute Summer School on automorphic forms and their applications. This work addresses some of... Læs mere
This title has been described as ""An elegant and comprehensive account of the modern theory of algebraic numbers"" - Bulletin of the AMS.
For a Riemannian manifold $M$, the geometry, topology and analysis are interrelated in ways that are widely explored in modern mathematics. This book examines the... Læs mere
Presents the lecture notes and articles from the workshop on hydrodynamic limits held at The Fields Institute (Toronto). This book contains research articles that review the diverse progress in the study of hydrodynamic limits and related areas.
Derived from a set of lecture notes, this title is suitable for first- or second-year graduate students in Mathematics and related fields such as Physics. With over four... Læs mere
Focusing on the inverse problem of potential theory and related questions such as coefficient identification problems, this book offers readers an understanding of the results of... Læs mere