Geometry

This book stems from lectures on commutative algebra for 4th-year university students at two French universities (Paris and Rennes).

This book teaches algebra and geometry.

This book returns geometry to its natural habitats: the arts, nature and technology.

This book is an extension to Arno van den Essen's Polynomial Automorphisms and the Jacobian Conjecture published in 2000.

This collection of contributions originates from the well-established conference series "e;Fractal Geometry and Stochastics"e; which brings together researchers from different fields using concepts and methods from fractal geometry.

This is a brief textbook on complex analysis intended for the students of upper undergraduate or beginning graduate level.

This book is devoted to Killing vector fields and the one-parameter isometry groups of Riemannian manifolds generated by them.

This undergraduate textbook is suitable for introductory classes in combinatorics and related topics.

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 proceedings volume gathers together selected works from the 2018 "e;Asymptotic, Algebraic and Geometric Aspects of Integrable Systems"e; workshop that was held at TSIMF Yau Mathematical Sciences Center in Sanya, China, honoring Nalini Joshi on her 60th birthday.

Bridging the gap between novice and expert, the aim of this book is to present in a self-contained way a number of striking examples of current diophantine problems to which Arakelov geometry has been or may be applied.

This book presents a panorama of recent developments in the theory of tilings and related dynamical systems.

This book is an extended and revised version of "e;Numerical Semigroups with Applications,"e; published by Springer as part of the RSME series.

This book contains a clear exposition of two contemporary topics in modern differential geometry: distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature the study of scalar curvature rigidity and positive mass theorems using spinors and the Dirac operator It is intended for both graduate students and researchers.

This textbook provides a unified and concise exploration of undergraduate mathematics by approaching the subject through its history.

This book consists of 16 surveys on Thurston's work and its later development.

The aim of these lecture notes is to propose a systematic framework for geometry and analysis on metric spaces.

This book provides a rigorous and self-contained review of desingularization theory.

This volume consists of ten articles which provide an in-depth and reader-friendly survey of some of the foundational aspects of singularity theory.

This book gives a modern presentation of modular operands and their role in string field theory.

This thesis proposes a new perspective on scattering amplitudes in quantum field theories.

The book consists of articles based on the XXXVIII Bialowieza Workshop on Geometric Methods in Physics, 2019.

This book covers recent advances in several important areas of geometric analysis including extremal eigenvalue problems, mini-max methods in minimal surfaces, CR geometry in dimension three, and the Ricci flow and Ricci limit spaces.

This proceedings volume presents selected, peer-reviewed contributions from the 26th National School on Algebra, which was held in Constanta, Romania, on August 26-September 1, 2018.

This textbook invites readers to explore the properties of objects that we effortlessly recognize as symmetrical.

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.

Providing a new approach to assembly maps, this book develops the foundations of coarse homotopy using the language of infinity categories.

This book presents a multidisciplinary guide to gauge theory and gravity, with chapters by the world's leading theoretical physicists, mathematicians, historians and philosophers of science.

This book presents original peer-reviewed contributions from the London Mathematical Society (LMS) Midlands Regional Meeting and Workshop on 'Galois Covers, Grothendieck-Teichmuller Theory and Dessinsd'Enfants', which took place at the University of Leicester, UK, from 4 to 7 June, 2018.

This book provides a self-contained introduction to convex geometry in Euclidean space.

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

This concise and practical textbook presents the essence of the theory on smooth manifolds.

This volume features selected papers from The Fifteenth International Conference on Order Analysis and Related Problems of Mathematical Modeling, which was held in Vladikavkaz, Russia, on 15 - 20th July 2019.

This book describes analytical methods for modelling drop evaporation, providing the mathematical tools needed in order to generalise transport and constitutive equations and to find analytical solutions in curvilinear coordinate systems.

This book provides a comprehensive introduction to Soergel bimodules.

This book opens with an axiomatic description of Euclidean and non-Euclidean geometries.

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

This book presents a selection of papers from the International Conference Geometrias'17, which was hosted by the Department of Architecture at the University of Coimbra from 16 to 18 June 2017.

Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense.

This textbook gives a concise introduction to the theory of differentiable manifolds, focusing on their applications to differential equations, differential geometry, and Hamiltonian mechanics.

This book explores the geometric and kinematic design of the various types of gears most commonly used in practical applications, also considering the problems concerning their cutting processes.

This volume combines an introduction to central collineations with an introduction to projective geometry, set in its historical context and aiming to provide the reader with a general history through the middle of the nineteenth century.

This textbook explores advanced topics in differential geometry, chosen for their particular relevance to modern geometry processing.

This textbook offers an introduction to differential geometry designed for readers interested in modern geometry processing.

This book discusses regular powers and symbolic powers of ideals from three perspectives- algebra, combinatorics and geometry - and examines the interactions between them.

This proceedings volume contains articles related to the research presented at the 2017 Simons Symposium on p-adic Hodge theory.

This English translation of Daniel Coray's original French textbook Notes de geometrie et d'arithmetique introduces students to Diophantine geometry.

This book presents the most up-to-date and sophisticated account of the theory of Euclidean lattices and sequences of Euclidean lattices, in the framework of Arakelov geometry, where Euclidean lattices are considered as vector bundles over arithmetic curves.

The textbook provides both beginner and experienced CAD users with the math behind the CAD.

This book gives a systematic presentation of real algebraic varieties.