Geometry

This short and readable introduction to algebraic geometry will be ideal for all undergraduate mathematicians coming to the subject for the first time.

This 1998 book explains the design of geometry algorithms, including discussion of implementation issues and working C code.

The first book devoted to ellipsoidal harmonics presents the state of the art in this fascinating subject.

Lecture notes and research articles on the use of torsors and étale homotopy in algebraic and arithmetic geometry.

Lecture notes and research articles on the use of torsors and étale homotopy in algebraic and arithmetic geometry.

This detailed exposition makes classical algebraic geometry accessible to the modern mathematician.

This friendly introduction helps undergraduate students understand and appreciate matroid theory and its connections to geometry.

A comprehensive text and reference on sub-Riemannian and Heisenberg manifolds using a novel and robust variational approach.

An introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra.

Original research and expert surveys on Riemann surfaces.

A self-contained account of the subject of algebraic cycles and motives as it stands.

Discussion of theory and applications of algebraic curves over finite fields with many rational points.

This book, first published in 2000, focuses on developments in the study of geodesic flows on homogenous spaces.

An up-to-date survey of research in singularity theory.

This book explains the mathematics behind practical implementations of elliptic curve systems.

This volume, first published in 2000, is an integrated suite of papers centred around applications of Mori theory to birational geometry.

Contains Grothendieck''s previously unpublished manuscript ''Esquisse d''un Programme'' and related papers.

Homotopy of 4-manifolds for researchers and graduate students.

This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry.

This book contains papers given at the International Singularity Conference held in 1991 at Lille.

Authoritative collection of surveys and papers that will be indispensable to all research workers in the area.

A one-stop introduction to the methods of ergodic theory applied to holomorphic iteration that is ideal for graduate courses.

These lecture notes provide a unique introduction to Pesin theory and its applications.

An introduction to the theory of algebraic functions on varieties from a sheaf theoretic standpoint.

A self-contained introductory text for beginning graduate students that is contemporary in approach without ignoring historical matters.

This book introduces the theory, observes the algebraic and topological properties of complex algebraic curves, and shows how they are related to complex analysis.

The first comprehensive treatment of Minkowski geometry since the 1940''s

This 1990 collection of review articles covers the considerable progress made in a wide range of applications of twistor theory.

This book, which grew out of Steven Bleiler''s lecture notes from a course given by Andrew Casson at the University of Texas, is designed to serve as an introduction to the applications of hyperbolic geometry to low dimensional topology.

This 1987 volume presents a collection of papers given at the 1985 Durham Symposium on homotopy theory.

This 1985 book covers from first principles the theory of Syzygies.

The central theme of this book is the theorem of Ambrose and Singer.

An introduction to geometrical topics used in applied mathematics and theoretical physics.

A self-contained introduction to the theory of affine algebraic groups for mathematicians with a basic knowledge of communicative algebra and field theory.

The purpose of these notes is to give a geometrical treatment of generalized homology and cohomology theories.

This book gives a fairly elementary introduction to the local theory of differentiable mappings and is suitable as a text for courses to graduates and advanced undergraduates.

Eleven of the fourteen invited speakers at a symposium held by the Oxford Mathematical Institute in 1972 have submitted their contributions for publication in this volume.

An introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra.

A complete presentation of the theory of differential spaces, with applications to the study of singularities in systems with symmetry.

A complete presentation of the theory of differential spaces, with applications to the study of singularities in systems with symmetry.

This book, one of the first on G2 manifolds in decades, collects introductory lectures and survey articles largely based on talks given at a workshop held at the Fields Institute in August 2017, as part of the major thematic program on geometric analysis.

This text is the fifth and final in the series of educational books written by Israel Gelfand with his colleagues for high school students.

In recent times, group theory has found wider applications in various fields of algebra and mathematics in general.

Explores the recent spectacular applications of point-counting in o-minimal structures to functional transcendence and diophantine geometry.

Why don''t things fall down?

Explores the beautifully intricate dynamics of pop-up cards using high school mathematics, making tangible what is often dry and abstract.

This book provides a computational and algorithmic foundation for techniques in topological data analysis, with examples and exercises.

A unified analysis of first-order optimization methods, including parallel-distributed algorithms, using monotone operators.

Introduces foundational concepts in infinite-dimensional differential geometry beyond Banach manifolds, showcasing its modern applications.