Geometry 52

In recent years cube complexes have become a cornerstone topic of geometric group theory and have proven to be a powerful tool in other areas, such as low dimensional topology, phylogenetic trees or……続きを見る

This book introduces the dilation theory of operators on Hilbert spaces and its relationship to complex geometry. Classical as well as very modern topics are covered in the book. On the one hand, it……続きを見る

A summary sheet which explains the principle of the famous Pythagorean theorem, with some examples and training exercises! 続きを見る

This book provides an accessible introduction to using the tools of differential geometry to tackle a wide range of topics in physics, with the concepts developed through numerous examples to help t……続きを見る

¡Una hoja resumida que explica el principio del famoso teorema de Pitágoras, con algunos ejemplos y ejercicios de entrenamiento! 続きを見る

In "Flatland: A Romance of Many Dimensions," Edwin A. Abbott employs a unique blend of satire, mathematics, and social critique to explore the limitations of perception and the nature of reality. Se……続きを見る

Start with a single shape. Repeat it in some wayーtranslation, reflection over a line, rotation around a pointーand you have created symmetry. Symmetry is a fundamental phenomenon in art, science, a……続きを見る

Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and……続きを見る

This book is based on a series of lectures at the Mathematics Department of the University of Jena, developed in the period from 1995 up to 2015. It is completed by additional material and extension……続きを見る

Topological spaces are a special case of convergence spaces. This textbook introduces topology within a broader context of convergence theory. The title alludes to advantages of the present approach……続きを見る

Mathematical models are used to describe the essence of the real world, and their analysis induces new predictions filled with unexpected phenomena. In spite of a huge number of insights derived fro……続きを見る

This book provides an insight into the geometric aspects of the spaces of operators studied by using the notion of Birkhoff–James orthogonality. It studies the norm attainment set of an operator and……続きを見る

In "Euclid and His Modern Rivals," Charles Lutwidge Dodgson, better known as Lewis Carroll, presents a critical examination of the evolution of geometric thinking as illustrated through a humorous y……続きを見る

In "The Way To Geometry," Petrus Ramus presents a revolutionary approach to geometric principles by advocating for a clear and systematic methodology that contrasts sharply with the prevailing Arist……続きを見る

In terms of statistics, GIS offers many connections. With GIS, data are gathered, displayed, summarized, examined, and interpreted to discover patterns. Spatial Mathematics: Theory and Practice thro……続きを見る

Our physical world is embedded in a geometric environment. Plane geometry has many amazing wonders beyond those that are briefly touched on in school curriculums. The triangle, one of the basic inst……続きを見る

^ the="" study="" of="" convex="" polyhedra="" in="" ordinary="" space="" is="" a="" central="" piece="" classical="" and="" modern="" geometry="" that="" has="" had="" significant="" impact="" on="……続きを見る

The goal of this textbook is to introduce and study automorphic representations, objects at the very core of the Langlands Program. It is designed for use as a primary text for either a semester or ……続きを見る

This volume presents modern developments in analysis, PDEs and geometric analysis by some of the leading worldwide experts, prominent junior and senior researchers who were invited to be part of the……続きを見る

This is a book about infinity ー specifically the infinity of numbers, and how one kind of infinity is greater than all the rest. Along the way the author will demonstrate how infinity can be made t……続きを見る

This monograph covers topics in the cohomology of monoids up through recent developments. Jonathan Leech’s original monograph in the Memoirs of the American Mathematical Society dates back to 1975. ……続きを見る

This proceedings contains a collection of selected, peer-reviewed contributions from the 4th International Workshop "Differential Geometric Structures and Applications" held in Haifa, Israel from Ma……続きを見る

This book offers an introduction to some combinatorial (also, set-theoretical) approaches and methods in geometry of the Euclidean space Rm. The topics discussed in the manuscript are due to the fie……続きを見る

William Thurston’s ideas have altered the course of twentieth century mathematics, and they continue to have a significant influence on succeeding generations of mathematicians. The purpose of the p……続きを見る

This textbook can be used as introduction to a general topology course at undergraduate and graduate level courses. However, many parts of this book present topological concepts that apply directly ……続きを見る

Complex Analytic Geometry is a subject that could be termed, in short, as the study of the sets of common zeros of complex analytic functions. It has a long history and is closely related to many ot……続きを見る

The theory of algebraic hyperstructures, in particular the theory of Krasner hyperrings, has seen a spectacular development in the last 20 years, which is why a book dedicated to the study of these ……続きを見る

This volume consists of 15 papers contributing to the Hayama Symposium on Complex Analysis in Several Variables XXIII, which was dedicated to the 100th anniversary of the creation of the Bergman ker……続きを見る

Differential Geometry is one of the major branches of current Mathematics, and it is an unavoidable language in modern Physics. The main characters in Differential Geometry are smooth manifolds: a c……続きを見る

A "lucid and convincingly argued" narrative of how ancient geometric principles continue to shape the contemporary world ( Publishers Weekly). On a cloudy day in 1413, a balding young man stood at t……続きを見る