Geometry

This volume comprises high-quality works in pure and applied mathematics from the mathematical communities in Spain and Brazil.

Groups and Manifolds is an introductory, yet a complete self-contained course on mathematics of symmetry: group theory and differential geometry of symmetric spaces, with a variety of examples for physicists, touching briefly also on super-symmetric field theories.

From July 11th to July 22nd, 2005, a NATO advanced study institute, as part of the series "e;Seminaire ' de mathematiques ' superieures"e;, ' was held at the U- versite ' de Montreal, ' on the subject Equidistribution in the theory of numbers.

Holomorphic Functions, Domains of Holomorphy and Local Properties

Up-to-date research in metric diffusion along compact foliations is presented in this book.

The first comprehensive and up-to-date account of discriminant equations and their applications.

The subject of conformal mappings is a major part of geometric function theory that gained prominence after the publication of the Riemann mapping theorem - for every simply connected domain of the extended complex plane there is a univalent and meromorphic function that maps such a domain conformally onto the unit disk.

The contributions in this volume-dedicated to the work and mathematical interests of Oleg Viro on the occasion of his 60th birthday-are invited papers from the Marcus Wallenberg symposium and focus on research topics that bridge the gap among analysis, geometry, and topology.

The purpose of this volume and of the other volumes in the same series is to provide a collection of surveys that allows the reader to learn the important aspects of William Thurston's heritage.

Architecture of Mathematics describes the logical structure of Mathematics from its foundations to its real-world applications.

This self-contained book offers an extensive state-of-the-art exposition of rotational integral geometry, a field that has reached significant maturity over the past four decades.

After being an open question for sixty years the Tarski conjecture was answered in the affirmative by Olga Kharlampovich and Alexei Myasnikov and independently by Zlil Sela.

The KSCV Symposium, the Korean Conference on Several Complex Variables, started in 1997 in an effort to promote the study of complex analysis and geometry.

Richard Trudeau confronts the fundamental question of truth and its representation through mathematical models in The Non-Euclidean Revolution.

Quaternion and Clifford Fourier Transforms describes the development of quaternion and Clifford Fourier transforms in Clifford (geometric) algebra over the last 30 years.

Many disciplines are concerned with manipulating geometric (or spatial) objects in the computer - such as geology, cartography, computer aided design (CAD), etc.

Algebraic geometry is one of the most classic subjects of university research in mathematics.

Geometry is a classical core part of mathematics which, with its birth, marked the beginning of the mathematical sciences.

"e;Contains papers presented at the 35th Taniguchi International Symposium held recently in Sanda and Kyoto, Japan.

Kelley Wingate's Math Practice for first grade is designed to help students master basic math skills through focused math practice.

This volume is dedicated to Ciro Ciliberto on the occasion of his 70th birthday and contains refereed papers, offering an overview of important parts of current research in algebraic geometry and related research in the history of mathematics.

'The present volume, written in a clear and precise style, ends with a rich bibliography of 167 items, including some classical books and papers.

This modern translation of Sophus Lie's and Friedrich Engel's "e;Theorie der Transformationsgruppen I"e; will allow readers to discover the striking conceptual clarity and remarkably systematic organizational thought of the original German text.

Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics.

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility.

Explores connections between infinitary model theory and other branches of mathematical logic, with algebraic applications.

For the past several decades the theory of automorphic forms has become a major focal point of development in number theory and algebraic geometry, with applications in many diverse areas, including combinatorics and mathematical physics.

An extended tour through a selection of the most important trends in modern geometric group theory.

Este libro ha sido escrito con objeto de proporcionar a los dibujantes técnicos en particular y a los estudiantes en general un tratado de las cuestiones más importantes de la Geometría descriptiva y sus aplicaciones en las distintas ramas de la Ingeniería.

Geometrical tolerancing is the standard technique that designers and engineers use to specify and control the form, location and orientation of the features of components and manufactured parts.

This book collects and explains the many theorems concerning the existence of certificates of positivity for polynomials that are positive globally or on semialgebraic sets.

The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, or deciding whether two points belong in the same connected component of a semi-algebraic set occur in many contexts.

The book gives an exposition of the standard model of elementary particles based on coordinate-free differential geometric foundations.

This book discusses topics ranging from traditional areas of topology, such as knot theory and the topology of manifolds, to areas such as differential and algebraic geometry.

Working out solutions to polynomial equations is a mathematical problem that dates from antiquity.

Discrete differential geometry is an active mathematical terrain where differential geometry and discrete geometry meet and interact.

Differential geometry, in the classical sense, is developed through the theory of smooth manifolds.

In most undergraduate physics classes Special Relativity is taught from a simplistic point of view using Newtonian concepts rather than the relativistic way of thinking.

In this monograph a method for proving the solvability of integral geometry problems and inverse problems for kinetic equations is presented.

This volume guides early-career researchers through recent breakthroughs in mathematics and physics as related to general relativity.

Most mathematicians' knowledge of Euclid's lost work on Porisms comes from a very brief and general description by Pappus of Alexandria.

A spatial logic is a formal language interpreted over any class of structures featuring geometrical entities and relations, broadly construed.

In the past decade there has been a significant change in the freshman/ sophomore mathematics curriculum as taught at many, if not most, of our colleges.

How do you convey to your students, colleagues and friends some of the beauty of the kind of mathematics you are obsessed with?

This richly illustrated textbook explores the amazing interaction between combinatorics, geometry, number theory, and analysis which arises in the interplay between polyhedra and lattices.