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Visual Group Theory A Computer-Oriented Geometric Introduction
This textbook provides an introduction to group theory starting from the basics, relying on geometry to elucidate its various aspects.
Groups...
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Surveys in Geometry I
The volume consists of a set of surveys on geometry in the broad sense. The goal is to present a certain number of research topics in a non-technical...
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Non-Euclidean Laguerre Geometry and Incircular Nets
This textbook is a comprehensive and yet accessible introduction to non-Euclidean Laguerre geometry, for which there exists no previous systematic...
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Locally Mixed Symmetric Spaces
What do the classification of algebraic surfaces, Weyl's dimension formula and maximal orders in central simple algebras have in common? All are...
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Geometry and Analysis of Metric Spaces via Weighted Partitions
The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces. The central notion is a partition (an...
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Geometry: from Isometries to Special Relativity
This textbook offers a geometric perspective on special relativity, bridging Euclidean space, hyperbolic space, and Einstein’s spacetime in one...
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Kuranishi Structures and Virtual Fundamental Chains
The package of Gromov’s pseudo-holomorphic curves is a major tool in global symplectic geometry and its applications, including mirror symmetry and...
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Einführung in die hyperbolische Geometrie Anleitungen für eine Entdeckungsreise
Das Buch bietet einen neuen und sehr zugänglichen Einstieg in eine neue Geometrie, die vor gar nicht so langer Zeit entdeckt wurde. Diese Geometrie,...
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Geometry Through History Euclidean, Hyperbolic, and Projective Geometries
Presented as an engaging discourse, this textbook invites readers to delve into the historical origins and uses of geometry. The narrative traces the...
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Volume Conjecture for Knots
The volume conjecture states that a certain limit of the colored Jones polynomial of a knot in the three-dimensional sphere would give the volume of...
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Geometric Group Theory An Introduction
Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number...
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Metrical and Dynamical Aspects in Complex Analysis
The central theme of this reference book is the metric geometry of complex analysis in several variables. Bridging a gap in the current literature,...
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Hermitian–Grassmannian Submanifolds Daegu, Korea, July 2016
This book presents the proceedings of the 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds, which was held at the Kyungpook...
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Conversations avec Jules Hoüel Regards sur la géométrie non euclidienne et l’analyse infinitésimale vers 1875
Cet ouvrage contient les correspondances actives et passives de Jules Hoüel avec Joseph-Marie De Tilly, Gaston Darboux et Victor-Amédée Le Besgue...
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Spectral Theory of Infinite-Area Hyperbolic Surfaces
This text introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of the most recent...
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Dessins d'Enfants on Riemann Surfaces
This volume provides an introduction to dessins d'enfants and embeddings of bipartite graphs in compact Riemann surfaces. The first part of the book...
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The Spectrum of Hyperbolic Surfaces
This text is an introduction to the spectral theory of the Laplacian on compact or finite area hyperbolic surfaces. For some of these surfaces,...
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Birational Geometry of Foliations
The text presents the birational classification of holomorphic foliations of surfaces. It discusses at length the theory developed by L.G. Mendes,...
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Geometry of Hypersurfaces
This exposition provides the state-of-the art on the differential geometry of hypersurfaces in real, complex, and quaternionic space forms. Special...
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Analytic and Probabilistic Approaches to Dynamics in Negative Curvature
The work consists of two introductory courses, develo** different points of view on the study of the asymptotic behaviour of the geodesic flow,...