One of the most creative mathematicians of our times, Vladimir Drinfeld received the Fields Medal in 1990 for his groundbreaking …
In this volume one finds basic techniques from algebra and number theory (e.g. congruences, unique factorization domains, finite fields, quadratic …
This text is a self-contained study of expander graphs, specifically, their explicit construction. Expander graphs are highly connected but sparse, …
This book provides an introduction and overview of number theory based on the distribution and properties of primes. This unique …
The theory of elliptic curves involves a blend of algebra, geometry, analysis, and number theory. This book stresses this interplay …
Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he …
The book is directed toward students with a minimal background who want to learn class field theory for number fields. …
This book contains detailed lecture notes on four topics at the forefront of current research in computational mathematics. Each set …
This book offers a new conceptual framework for reflecting on the role of information and communication technology in mathematics education. …
This is the first book to present a model, based on rational mechanics of electrorheological fluids, that takes into account …
Nonlinear dynamics has been successful in explaining complicated phenomena in well-defined low-dimensional systems. Now it is time to focus on …
The classic text for understanding complex statistical probabilityAn Introduction to Probability Theory and Its Applications offers comprehensive explanations to complex …
Friedlander S. An introduction to the mathematical theory of geophysical fluid dynamics (NH Pub. Co., 1980)(ISBN 0444860320)
The author approaches an old classic problem - the existence of solutions of Navier-Stokes equations. The main objective is to …
How many dimensions does our universe require for a comprehensive physical description? In 1905, Poincar?© argued philosophically about the necessity …
Application of the concepts and methods of topology and geometry have led to a deeper understanding of many crucial aspects …
"Over a century old, knot theory is today one of the most active areas of modern mathematics. The study of …
This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are …
If you are a student of mathematics, a scientist working in fields affected by knot theory research, or a curious …
This monograph provides a mathematical foundation to the theory of quantum information and computation, with applications to various open systems …
Written by noted quantum computing theorist Scott Aaronson, this book takes readers on a tour through some of the deepest …
This volume contains current work at the frontiers of research in quantum probability, infinite dimensional stochastic analysis, quantum information and …
This volume contains several surveys of important developments in quantum probability. The new type of quantum central limit theorems, based …
This text is one of a series of volumes whose goal is to provide a picture of the state-of-the-art in …
The book attempts to provide an introduction to quantum field theory emphasizing conceptual issues frequently neglected in more "utilitarian" treatments …
Quantum mechanics is an extraordinarily successful scientific theory. But it is also completely mad. Although the theory quite obviously works, …
