Category Archives: Geometry

Potential Theory and Dynamics on the Berkovich Projective Line (Mathematical Surveys and Monographs)

Posted on February 26, 2010 by singleton

The purpose of this book is to develop the foundations of potential theory and rational dynamics on the Berkovich projective line over an arbitrary complete, algebraically closed non-Archimedean field. In addition to providing a concrete and “elementary” introduction to Berkovich … Continue reading →

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Non-Commutative Geometry: A Perspective on String and Field Theories

Posted on February 26, 2010 by singleton

A systematic and comprehensive account of developments in non-commutative geometry, at a pedagogical level. It does not go into the details of rigorous (advanced level) mathematical formulation of non-commutative geometry; rather, it restricts itself to the domain of strings and … Continue reading →

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A Course in Commutative Algebra (Graduate Texts in Mathematics)

Posted on February 26, 2010 by singleton

This textbook offers a thorough, modern introduction into commutative algebra. It is intented mainly to serve as a guide for a course of one or two semesters, or for self-study. The carefully selected subject matter concentrates on the concepts and … Continue reading →

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Geometric and Topological Methods for Quantum Field Theory

Posted on February 26, 2010 by singleton

Aimed at graduate students in physics and mathematics, this book provides an introduction to recent developments in several active topics at the interface between algebra, geometry, topology and quantum field theory. The first part of the book begins with an … Continue reading →

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Conformal Fractals: Ergodic Theory Methods (London Mathematical Society Lecture Note Series)

Posted on February 26, 2010 by singleton

This is a one-stop introduction to the methods of ergodic theory applied to holomorphic iteration. The authors begin with introductory chapters presenting the necessary tools from ergodic theory thermodynamical formalism, and then focus on recent developments in the field of … Continue reading →

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Elementary Differential Geometry

Posted on February 26, 2010 by singleton

The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on geometric results. Avoiding formalism as much as possible, the author harnesses basic mathematical skills … Continue reading →

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Special Relativity: An Introduction with 200 Problems and Solutions

Posted on February 26, 2010 by singleton

The theory of Special Relativity, although a century old, it is still a theory which has yet a long way to go. Special Relativity is the ground on which Particle Physics and General Relativity are based and constitutes an everyday … Continue reading →

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Mathematical Analysis of Problems in the Natural Sciences

Posted on February 26, 2010 by singleton

Based on a two-semester course aimed at illustrating various interactions of “pure mathematics” with other sciences, such as hydrodynamics, thermodynamics, statistical physics and information theory, this text unifies three general topics of analysis and physics, which are as follows: the … Continue reading →

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On the Cohomology of Certain Non-Compact Shimura Varieties (AM-173) (Annals of Mathematics Studies)

Posted on February 26, 2010 by singleton

This book studies the intersection cohomology of the Shimura varieties associated to unitary groups of any rank over Q. In general, these varieties are not compact. The intersection cohomology of the Shimura variety associated to a reductive group G carries … Continue reading →

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A Mathematical Tapestry: Demonstrating the Beautiful Unity of Mathematics

Posted on February 26, 2010 by singleton

This easy-to-read book demonstrates how a simple geometric idea reveals fascinating connections and results in number theory, the mathematics of polyhedra, combinatorial geometry, and group theory. Using a systematic paper-folding procedure it is possible to construct a regular polygon with … Continue reading →

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