Covers the classical theory of abstract Riemann surfaces. This book presents the requisite function theory and topology for Riemann surfaces. It also covers differentials... Læs mere
Produced under the auspices of the International Mathematical Union (IMU), this volume was born as part of the activities observing the World Mathematical Year... Læs mere
Mathematicians are expected to publish their work: in journals, conference proceedings, and books. It is vital to advancing their careers. This is a guidebook to... Læs mere
Presents the basics of linear algebra, with an emphasis on nonstandard and interesting proofs. This book features about 230 problems with solutions. It is suitable as a supplementary text for an undergraduate or graduate algebra course.
Representation theory plays important roles in geometry, algebra, analysis, and mathematical physics. This book presents an introduction to... Læs mere
Focuses on the fundamentals of a theory, which is an analog of affine algebraic geometry for partial differential... Læs mere
An encyclopedia of number theory. It features text in German.
Offers an introduction to various aspects of the representation theory of finite groups. The authors go beyond the standard elementary... Læs mere
Expands on a set of lectures held at the Courant Institute on Riemann-Hilbert problems, orthogonal polynomials, and random matrix theory. The goal of the course was to prove universality for a variety of statistical quantities arising in the theory of random matrix models.
Uses as a starting point A B Aleksandrov's proof that nonconstant inner functions exist in the... Læs mere
Gives an introduction to elementary topology presented in an intuitive way, emphasizing the visual aspect. This book begins with definitions presented in a tangible and perceptible... Læs mere
Low-dimensional topology has long been a fertile area for the interaction of many different disciplines of mathematics. The Park City Mathematics Institute summer school in 2006... Læs mere