Geometry

This book focuses on a selection of special topics, with emphasis on past and present research of the authors on "e;canonical"e; Riemannian metrics on smooth manifolds.

This book is a collection of surveys and exploratory articles about recent developments in the field of computational Euclidean geometry.

Customarily, the framework of algebraic geometry has been worked over an algebraically closed field of characteristic zero, say, over the complex number field.

Curves and surfaces are objects that everyone can see, and many of the questions that can be asked about them are natural and easily understood.

This book is a significant contribution within and across High Energy Physics and Algebraic Combinatorics.

Complex Lie groups have often been used as auxiliaries in the study of real Lie groups in areas such as differential geometry and representation theory.

Eine verständliche, konzise und immer flüssige Einführung in die Algebra, die insbesondere durch ihre sorgfältige didaktische Aufbereitung bei vielen Studenten Freunde finden wird.

In mathematics, solid geometry was the traditional name for the geometry of three-dimensional Euclidean space for practical purposes the kind of space we live in.

As of yet, the remarkable and highly influential textual form of Euclidean mathematics has not been considered from a literary-aesthetic perspective.

This comprehensive reference begins with a review of the basics followed by a presentation of flag varieties and finite- and infinite-dimensional representations in classical types and subvarieties of flag varieties and their singularities.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

This book has been written in a frankly partisian spirit-we believe that singularity theory offers an extremely useful approach to bifurcation prob- lems and we hope to convert the reader to this view.

This book offers an introduction to the theory of groupoids and their representations encompassing the standard theory of groups.

Black holes present one of the most fascinating predictions of Einstein's general theory of relativity.

This book clarifies the interrelationship between optics, vision and perspective before the Classical Age, examining binocularity in particular.

This book offers an up-to-date, comprehensive account of determinantal rings and varieties, presenting a multitude of methods used in their study, with tools from combinatorics, algebra, representation theory and geometry.

This volume contains the first two out of four chapters which are intended to survey a large part of the theory of theta functions.

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This book aims to disseminate geometric algebra as a straightforward mathematical tool set for working with and understanding classical electromagnetic theory.

This book presents the proceedings of the 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds, which was held at the Kyungpook National University from June 21 to 25, 2016.

A self-contained introduction to finite dimensional vector spaces, matrices, systems of linear equations, spectral analysis on euclidean and hermitian spaces, affine euclidean geometry, quadratic forms and conic sections.

Geometric Invariant Theory (GIT) is developed in this text within the context of algebraic geometry over the real and complex numbers.

Fractalize That!

The book deals with the (elementary and introductory) theory of valuation rings.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

Teleparallel Gravity (TG) is an alternative theory for gravitation, which is equivalent to General Relativity (GR).

This 2007 textbook uses examples, exercises, diagrams, and unambiguous proof, to help students make the link between classical and differential geometries.

This is the sixth volume of the Handbook of Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research.

In this volume, the authors present a collection of surveys on various aspects of the theory of bifurcations of differentiable dynamical systems and related topics.

This book collects various perspectives, contributed by both mathematicians and physicists, on the B-model and its role in mirror symmetry.

Differential algebraic groups were introduced by P.

This solution manual accompanies the first part of the book An Illustrated Introduction toTopology and Homotopy by the same author.

This textbook introduces exciting new developments and cutting-edge results on the theme of hyperbolicity.

This volume is an outcome of the International conference held in Tata Institute of Fundamental Research and the University of Hyderabad.

The definitive account of the recent computer solution of the oldest problem in discrete geometry.

This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables.

This monograph is areport on the present state of a fairly coherent collection of problems about which a sizeable literature has grown up in recent years.

On the occasion of the sixtieth birthday of Andre Lichnerowicz a number of his friends, many of whom have been his students or coworkers, decided to celebrate this event by preparing a jubilee volume of contributed articles in the two main fields of research marked by Lichnerowicz's work, namely differential geometry and mathematical physics.

This graduate textbook provides an introduction to quantum gravity, when spacetime is two-dimensional.