Geometry 15

Geometry is probably the most accessible branch of mathematics, and can provide an easy route to understanding some of the more complex ideas that mathematics can present. This book is intended to i……続きを見る

Optimization has long been a source of both inspiration and applications for geometers, and conversely, discrete and convex geometry have provided the foundations for many optimization techniques, l……続きを見る

Elementary particles in this book exist as Solitons in-and-of the fabric of spacetime itself. As such they are characterized by their geometry, that is their topology and configuration which lead di……続きを見る

This book provides quick access to the theory of Lie groups and isometric actions on smooth manifolds, using a concise geometric approach. After a gentle introduction to the subject, some of its rec……続きを見る

This volume consists of contributions by the main participants of the 3rd International Colloquium on Differential Geometry and its Related Fields (ICDG2012), which was held in Veliko Tarnovo, Bulga……続きを見る

At the heart of this monograph is the Brunn–Minkowski theory, which can be used to great effect in studying such ideas as volume and surface area and their generalizations. In particular, the notion……続きを見る

This volume is a compilation of new results and surveys on the current state of some aspects of the foliation theory presented during the conference “FOLIATIONS 2012”. It contains recent materials o……続きを見る

The theory of elliptic curves involves a pleasing blend of algebra, geometry, analysis, and number theory. This volume stresses this interplay as it develops the basic theory, thereby providing an o……続きを見る

Simply put, geometry is known as the study of shapes. But if you dig deeper into the concept, you will find that it's actually more than that. This quick study guide provides an in-dept analysis of ……続きを見る

You will learn to appreciate geometric formulas when they're arranged in an easy-to-understand manner like in this study guide. You can quickly glance at certain formulas to be reminded on how probl……続きを見る

You've touched the introduction to geometry in a previous study guide. In this study guide, you will continue to be briefed on more shapes, as well as how to encompass common problems on areas and o……続きを見る

This volume is a compilation of papers presented at the conference on differential geometry, in particular, minimal surfaces, real hypersurfaces of a non-flat complex space form, submanifolds of sym……続きを見る

Now in new trade paper editions, these classic biographies of two of the greatest 20th Century mathematicians are being released under the Copernicus imprint. These noteworthy accounts of the lives ……続きを見る

During the last four decades, there were numerous important developments on total mean curvature and the theory of finite type submanifolds. This unique and expanded second edition comprises a compr……続きを見る

The self-avoiding walk is a classical model in statistical mechanics, probability theory and mathematical physics. It is also a simple model of polymer entropy which is useful in modelling phase beh……続きを見る

The book explains concepts and ideas of mathematics and physics that are relevant for advanced students and researchers of condensed matter physics. With this aim, a brief intuitive introduction to ……続きを見る

This book collects significant contributions from the fifth conference on Fractal Geometry and Stochastics held in Tabarz, Germany, in March 2014. The book is divided into five topical sections: geo……続きを見る

During the past two decades there has been active interplay between geometric measure theory and Fourier analysis. This book describes part of that development, concentrating on the relationship bet……続きを見る

This monograph considers several well-known mathematical theorems and asks the question, “Why prove it again?” while examining alternative proofs. It explores the different rationales mathematicians……続きを見る

This monograph is an annotated translation of what is considered to be the world’s first calculus textbook, originally published in French in 1696. That anonymously published textbook on differentia……続きを見る

This book includes selected papers presented at the MIMS (Mediterranean Institute for the Mathematical Sciences) - GGTM (Geometry and Topology Grouping for the Maghreb) conference, held in memory of……続きを見る

This book is an introduction to differential manifolds. It gives solid preliminaries for more advanced topics: Riemannian manifolds, differential topology, Lie theory. It presupposes little backgrou……続きを見る

Extrait : "Les généralités qui suivent se rapportent aux principes, aux méthodes, à la classification, à l'enseignement et à l'histoire des Mathématiques. Nous les avons puisées à bonne source, dans……続きを見る

This book is intended to be a Fun semi-historical book on the history of Polyhedra, both Platonic and Archimedean as well as special construction methods to make them. This book is of interest to ev……続きを見る

This volume includes 28 chapters by authors who are leading researchers of the world describing many of the up-to-date aspects in the field of several complex variables (SCV). These contributions ar……続きを見る

This book examines the exciting interface between differential geometry and continuum mechanics, now recognised as being of increasing technological significance. Topics discussed include isometric ……続きを見る

This volume covers semilinear embeddings of vector spaces over division rings and the associated mappings of Grassmannians. In contrast to classical books, we consider a more general class of semili……続きを見る

We introduce mixed twistor D-modules and establish their fundamental functorial properties. We also prove that they can be described as the gluing of admissible variations of mixed twistor structure……続きを見る

Nonabelian multiplicative integration on curves is a classical theory. This volume is about the 2-dimensional case, which is much more difficult. In our construction, the setup is a Lie crossed modu……続きを見る

The projective and polar geometries that arise from a vector space over a finite field are particularly useful in the construction of combinatorial objects, such as latin squares, designs, codes and……続きを見る