Presents a broad survey of many of the noteworthy developments that have taken place in string theory, geometry, and duality since the mid 1990s. This book emphasizes topics that... Læs mere
Presents complex algebraic curves. This book covers a range of topics from conics and cubics to theta functions, Jacobians, and questions of moduli. It is suitable for those preparing a course on the topic of complex curves.
Contains the papers presented at the workshop on 'Novel Approaches to Hard Discrete Optimization'. This book contains articles that cover a spectrum of issues regarding computationally hard discrete problems.
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
Discusses the theory of stochastic processes. This book presents basics of discrete time martingales. It includes such topics as Wiener process, stationary processes, infinitely divisible processes, and Ito stochastic equations.
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.
Covers the key topics of numerical methods. This work covers topics including interpolation, the fast Fourier transform, iterative methods for solving systems of linear and... Læs mere
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