An introduction to the field of the topology, geometry and dynamics of closed one-forms. It gives a detailed exposition of Novikov theory, which plays a fundamental role in geometry and topology. It presents a variety of topics where closed one-forms play a central role.
Presents an introduction to convex analysis and some of its applications. This work starts with basic theory, which is explained within the framework of... Læs mere
Many people are convinced that improvement in mathematics education can only come with a greater understanding of what is involved when a student tries to... Læs mere
Oliver Heaviside is probably best known to the majority of mathematicians for the Heaviside function in the theory of distribution. His main research activity concerned the... Læs mere
Covers the multiple gamma function, the Stark conjecture, Shimura's period symbol, the absolute period symbol, Eisenstein series on $GL(2)$, and a limit formula of Kronecker's type.... Læs mere
Around 1980, G Mason announced the classification of a certain subclass of a class of finite simple groups known... Læs mere
Presents a collection of articles that grew out of an expository and tutorial conference on public-key cryptography held at the Joint Mathematics Meetings (Baltimore). This book... Læs mere
To achieve a meaningful generalization of the classical theory of Riemann surfaces to the case of infinite genus, one must impose restrictions on the asymptotic... Læs mere
Addresses algebraic invariants that occur in the confluence of several important areas of mathematics, including number theory, algebra, and arithmetic... Læs mere
Covers group theory and its applications, plus the theory of algebraic numbers. This book includes such topics as algebraic functions, elliptic functions and class field theory.
Details Tolsa's solution of Painleve's and Vitushkin's problems and explains why these are problems of the theory of Calderon-Zygmund operators on nonhomogeneous spaces. This book also considers a two-weight estimate for the Hilbert transform.
Introduces the representation theory of quantum groups using quantum groups of type $A_{r-1}^{(1)}$ as a main example. This book... Læs mere