Geometry

Metric theory has undergone a dramatic phase transition in the last decades when its focus moved from the foundations of real analysis to Riemannian geometry and algebraic topology, to the theory of infinite groups and probability theory.

The book deals with fundamental structural aspects of algebraic and simple groups, Coxeter groups and the related geometries and buildings.

The original edition of this book has been out of print for some years.

How do you convey to your students, colleagues and friends some of the beauty of the kind of mathematics you are obsessed with?

A Mathematical Tour introduces readers to a selection of mathematical topics chosen for their centrality, importance, historical significance, and intrinsic appeal and beauty.

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In this book the authors develop and work out applications to gravity and gauge theories and their interactions with generic matter fields, including spinors in full detail.

This book aims to present a new approach called Flow Curvature Method that applies Differential Geometry to Dynamical Systems.

This book provides an introduction to deformation quantization and its relation to quantum field theory, with a focus on the constructions of Kontsevich and Cattaneo & Felder.

Finite Geometries stands out from recent textbooks about the subject of finite geometries by having a broader scope.

A fully annotated edition of Abbott''s classic Flatland, with notes and commentary putting it in its historical and mathematical context.

This volume is dedicated to Ciro Ciliberto on the occasion of his 70th birthday and contains refereed papers, offering an overview of important parts of current research in algebraic geometry and related research in the history of mathematics.

The Savilian Professorships in Geometry and Astronomy at Oxford University were founded in 1619 by Sir Henry Savile, distinguished scholar and Warden of Merton College.

This book proves an analogue of William Thurston's celebrated hyperbolic Dehn surgery theorem in the context of complex hyperbolic discrete groups, and then derives two main geometric consequences from it.

The book is a comprehensive compilation of diverse articles delving into various intriguing topics within the realm of geometry.

This proceedings volume gathers selected, peer-reviewed works presented at the Polynomial Rings and Affine Algebraic Geometry Conference, which was held at Tokyo Metropolitan University on February 12-16, 2018.

This book constitutes the thoroughly refereed post-proceedings of the 4th International Workshop on Automated Deduction in Geometry, ADG 2002, held at Hagenberg Castle, Austria in September 2002.

This book consists of contributions from experts, presenting a fruitful interplay between different approaches to discrete geometry.

This book provides an introduction to topology, differential topology, and differential geometry.

Sales HandleA no-nonsense practical guide to trigonometry, providing concise summaries, clear model examples, and plenty of practice, making this workbook the ideal complement to class study or self-study, preparation for exams or a brush-up on rusty skills.

This monograph meticulously examines the contributions of French mathematician Michel Chasles to 19th-century geometry.

A collection of articles showcasing the achievements of young Russian researchers in combinatorial and algebraic geometry and topology.

Dies ist eine Einführung in die mathematische Theorie der Lie-Gruppen.

Although Riemann surfaces are a time-honoured field, this book is novel in its broad perspective that systematically explores the connection with other fields of mathematics.

This book contains the contributions resulting from the 6th Italian-Japanese workshop on Geometric Properties for Parabolic and Elliptic PDEs, which was held in Cortona (Italy) during the week of May 20-24, 2019.

This book is devoted to multiplicative analytic geometry.

Statistical analysis of shapes of 3D objects is an important problem with a wide range of applications.

Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics.

The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings.

This monograph addresses two significant related questions in complex geometry: the construction of a Chern character on the Grothendieck group of coherent sheaves of a compact complex manifold with values in its Bott-Chern cohomology, and the proof of a corresponding Riemann-Roch-Grothendieck  theorem.

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.

This textbook provides an introduction to the combinatorial and statistical aspects of commutative algebra with an emphasis on binomial ideals.

This book focuses on Hamilton's Ricci flow, beginning with a detailed discussion of the required aspects of differential geometry, progressing through existence and regularity theory, compactness theorems for Riemannian manifolds, and Perelman's noncollapsing results, and culminating in a detailed analysis of the evolution of curvature, where recent breakthroughs of Bohm and Wilking and Brendle and Schoen have led to a proof of the differentiable 1/4-pinching sphere theorem.

In a detailed and comprehensive introduction to the theory of plane algebraic curves, the authors examine this classical area of mathematics that both figured prominently in ancient Greek studies and remains a source of inspiration and a topic of research to this day.

Handbook of Convex Geometry, Volume A offers a survey of convex geometry and its many ramifications and relations with other areas of mathematics, including convexity, geometric inequalities, and convex sets.

This book provides a detailed exposition of William Thurston's work on surface homeomorphisms, available here for the first time in English.

A volume of papers describing new methods in algebraic geometry.

The purpose of this monograph is two-fold: it introduces a conceptual language for the geometrical objects underlying Painleve equations, and it offers new results on a particular Painleve III equation of type PIII (D6), called PIII (0, 0, 4, -4), describing its relation to isomonodromic families of vector bundles on P1 with meromorphic connections.

Rationality problems link algebra to geometry, and the difficulties involved depend on the transcendence degree of $K$ over $k$, or geometrically, on the dimension of the variety.

Just about everyone takes a geometry class at one time or another.

This book is based on notes for the course Fractals:lntroduction, Basics and Perspectives given by MichaelF.