Geometry

The geometrical methods in modem mathematical physics and the developments in Geometry and Global Analysis motivated by physical problems are being intensively worked out in contemporary mathematics.

This unique and comprehensive volume provides an up-to-date account of the literature on the subject of determining the structure of rings over which cyclic modules or proper cyclic modules have a finiteness condition or a homological property.

Since the term "e;random ?

This book explores toric topology, polyhedral products and related mathematics from a wide range of perspectives, collectively giving an overview of the potential of the areas while contributing original research to drive the subject forward in interesting new directions.

This book on symmetric geometric patterns of Islamic art has educational, aesthetic, cultural and practical purposes.

The aim of this book is to present various facets of the theory and applications of Lipschitz functions, starting with classical and culminating with some recent results.

This self-contained text presents state-of-the-art results on recurrent sequences and their applications in algebra, number theory, geometry of the complex plane and discrete mathematics.

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This book celebrates the 50th anniversary of the Institute of Mathematics, Statistics and Scientific Computing (IMECC) of the University of Campinas, Brazil, by offering reviews of selected research developed at one of the most prestigious mathematics institutes in Latin America.

A handbook of key articles providing both an introduction and reference for newcomers and experts alike.

Noncommutative geometry is a novel approach which is opening up new possibilities for geometry from a mathematical viewpoint.

Praise for the previous edition[.

Serge Lang was an iconic figure in mathematics, both for his own important work and for the indelible impact he left on the field of mathematics, on his students, and on his colleagues.

This textbook serves as an introduction to modern differential geometry at a level accessible to advanced undergraduate and master's students.

This book explores some of the major turning points in the history of mathematics, ranging from ancient Greece to the present, demonstrating the drama that has often been a part of its evolution.

This book traces the development of Kepler's ideas along with his unsteady wanderings in a world dominated by religious turmoil.

This volume, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to birational geometry.

This textbook offers readers a self-contained introduction to quantitative Tamarkin category theory.

The Abel Symposium 2008 focused on the modern theory of differential equations and their applications in geometry, mechanics, and mathematical physics.

This lucid and accessible text provides an introductory guide to projective geometry, an area of mathematics concerned with the properties and invariants of geometric figures under projection.

This book is the result of many years of research in Non-Euclidean Geometries and Geometry of Lie groups, as well as teaching at Moscow State University (1947- 1949), Azerbaijan State University (Baku) (1950-1955), Kolomna Pedagogical Col- lege (1955-1970), Moscow Pedagogical University (1971-1990), and Pennsylvania State University (1990-1995).

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.

The book is devoted to the study of the geometrical and topological structure of gauge theories.

The cognitive foundations of geometry have puzzled academics for a long time, and even today are mostly unknown to many scholars, including mathematical cognition researchers.

This volume contains contributions by the main participants of the 4th International Colloquium on Differential Geometry and its Related Fields (ICDG2014).

Die Computer Graphik ist eine der schönsten und attraktivsten Anwendungen von Computern.

The main themes of this book are to establish the triple formula without any hypotheses on the genericity of the morphism, and to develop a theory of complete quadruple points, which is a first step towards proving the quadruple point formula under less restrictive hypotheses.

This book aims at gathering roboticists, control theorists, neuroscientists, and mathematicians, in order to promote a multidisciplinary research on movement analysis.

String art is a well-known and popular activity that uses string, a board, and nails to produce artistic images (although there are variations that use different modalities).

Fred Almgren exploited the excess method for proving regularity theorems in the calculus of variations.

Evidence that Einstein's addition is regulated by the Thomas precession has come to light, turning the notorious Thomas precession, previously considered the ugly duckling of special relativity theory, into the beautiful swan of gyrogroup and gyrovector space theory, where it has been extended by abstraction into an automorphism generator, called the Thomas gyration.

Alfred Tarski (1901-1983) was a renowned Polish/American mathematician, a giant of the twentieth century, who helped establish the foundations of geometry, set theory, model theory, algebraic logic and universal algebra.

Field Arithmetic explores Diophantine fields through their absolute Galois groups.

Provides a working knowledge of tools that are of great value in geometry and physics and in engineering.

Hofstadter's Law: It always takes longer than you think it will take, even if you take into account Hofstadter's Law.

In industry and economics, the most common solutions of partial differential equations involving multivariate numerical integration over cuboids include techniques of iterated one-dimensional approximate integration.

This volume summarizes recent developments in the topological and algebraic structures in fuzzy sets and may be rightly viewed as a continuation of the stan- dardization of the mathematics of fuzzy sets established in the "e;Handbook"e;, namely the Mathematics of Fuzzy Sets: Logic, Topology, and Measure Theory, Volume 3 of The Handbooks of Fuzzy Sets Series (Kluwer Academic Publish- ers, 1999).

An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program.

Metric and Differential Geometry grew out of a similarly named conference held at Chern Institute of Mathematics, Tianjin and Capital Normal University, Beijing.

An up-to-date account of algebraic statistics and information geometry, which also explores the emerging connections between these two disciplines.

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

This is a research monograph covering the majority of known results on the problem of constructing compact symplectic manifolds with no Kaehler structure with an emphasis on the use of rational homotopy theory.

Developing and providing an overview of recent results on nearly Kahler geometry on pseudo-Riemannian manifolds, this monograph emphasizes the differences with the classical Riemannian geometry setting.