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.
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
Focusing on one of the major branches of probability theory, this book treats the large class of processes with continuous sample paths that possess the... Læs mere
Offers a discussion of the Berkovich projective line and $p$-adic potential theory on that and more general Berkovich curves. This book... Læs mere
Develops three related tools that are useful in the analysis of partial differential equations (PDEs), arising... Læs mere
Presents an introduction to the theory of vertex algebras with a particular emphasis on the relationship with the geometry of algebraic curves. This book contains... Læs mere
Modular forms appear in many ways in number theory. This book details various roles that modular forms and $q$-series play in number theory, such as applications and connections to... Læs mere
Studies torus actions on topological spaces presented as a bridge - connecting combinatorial and convex geometry with commutative and... Læs mere