Analytic geometry

Many parallels between complex dynamics and hyperbolic geometry have emerged in the past decade.

Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997.

This volume offers a systematic treatment of certain basic parts of algebraic geometry, presented from the analytic and algebraic points of view.

This book presents a complete proof of Connes'' Index Theorem generalized to foliated spaces, including coverage of new developments and applications.

In 1854, B Riemann introduced the notion of curvature for spaces with a family of inner products.

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

For closed manifolds, there is a highly elaborated theory of number-valued invariants, attached to the underlying manifold, structures and differential operators.

Introduction to singularity theory based on MSc course taught by author; novel synthesis, with new results not found elsewhere.

This volume is based on lectures given at a workshop and conference on symplectic geometry at the University of Warwick in August 1990.

Hermann Weyl's classic treatment of meromorphic functions and analytic curves from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.

This book provides, for use in a graduate course or for self-study by graduate students, a well-motivated treatment of several topics, especially the following: (1) algebraic treatment of several complex variables; (2) geometric approach to algebraic geometry via analytic sets; (3) survey of local algebra; (4) survey of sheaf theory.

Geometrical concepts play a significant role in the analysis of physical systems.

This volume of proceedings consists of 14 invited papers.

Book IV continues the discussion begun in the first three volumes.

A central problem in differential geometry is to relate algebraic properties of the Riemann curvature tensor to the underlying geometry of the manifold.

This proceedings is a collection of articles in several complex variables with emphasis on geometric methods and results, which includes several survey papers reviewing the development of the topics in these decades.

This book, first published in 2004, is an example based and self contained introduction to Euclidean geometry with numerous examples and exercises.

Reissued articles from two classic sources on hyperbolic manifolds with new sections describing recent work.

Analytic geometry, or analytical geometry has two different meanings in mathematics.

Provides the first systematic study of geometry and topology of locally symmetric rank one manifolds and dynamics of discrete action of their fundamental groups.

Introduction to Diophantine approximation and equations focusing on Schmidt''s subspace theorem, with applications to transcendence.

This book offers an introduction to differential geometry for the non-specialist.

Over the field of real numbers, analytic geometry has long been in deep interaction with algebraic geometry, bringing the latter subject many of its topological insights.

Modern introduction to algebraic geometry for undergraduates; uses analytic ideas to access algebraic theory.

Noncommutative geometry studies an interplay between spatial forms and algebras with non-commutative multiplication.

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

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

This book develops and applies a theory of the ambient metric in conformal geometry.

In the summer of 1970, Georges Matheron, the father of geostatistics, presented a series of lectures at the Centre de Morphologie Mathmatique in France.

This book focuses on applications of martingales to the geometry of Banach spaces, and is accessible to graduate students.

A Collection of Problems in Analytical Geometry, Part I: Analytical Geometry in the Plane is a collection of problems dealing with higher analytical geometry.

A Collection of Problems in Analytical Geometry, Part II: Three-Dimensional Analytical Geometry is a collection of problems dealing with analytical geometry in the field of theoretical mechanics.

This volume is published in honor of Professor Gu Chaohao, a renowned mathematician and member of the Chinese Academy of Sciences, on the occasion of his 70th birthday and his 50th year of educational work.

Authoritative lectures from world experts on spectral theory and geometry.

Noncommutative geometry studies an interplay between spatial forms and algebras with non-commutative multiplication.

This introductory book uses the moving frame as a tool and develops Finsler geometry on the basis of the Chern connection and the projective sphere bundle.

Several years ago our statistical friends and relations introduced us to the work of Amari and Barndorff-Nielsen on applications of differential geometry to statistics.