Geometry

A self-contained exposition of local class field theory for students in advanced algebra.

A self-contained exposition of local class field theory for students in advanced algebra.

A snapshot of the major renaissance happening today in the study of locally compact groups and their many applications.

A rigorous introduction to geometric and topological inference, for anyone interested in a geometric approach to data science.

A rigorous introduction to geometric and topological inference, for anyone interested in a geometric approach to data science.

The first comprehensive modern introduction to central simple algebra starting from the basics and reaching advanced results.

This new edition describes the space of quantum states and the theory of quantum entanglement from a geometric perspective.

The first systematic account of the theory and modelling of rotating fluids for researchers and students in geophysics, astrophysics and engineering in half a century.

This new edition describes the space of quantum states and the theory of quantum entanglement from a geometric perspective.

The first systematic account of the theory and modelling of rotating fluids for researchers and students in geophysics, astrophysics and engineering in half a century.

This comprehensive introduction to algebraic complexity theory presents new techniques for analyzing P vs NP and matrix multiplication.

This comprehensive introduction to algebraic complexity theory presents new techniques for analyzing P vs NP and matrix multiplication.

This text introduces students to an experimental approach to mathematics, using Maple to systematically investigate and develop mathematical theory.

A readable exposition of how Euclidean and other geometries can be distinguished using linear algebra and transformation groups.

This text introduces students to an experimental approach to mathematics, using Maple to systematically investigate and develop mathematical theory.

Useful but hard-to-find results enrich this introduction to the analytic study of random walks on infinite graphs.

Useful but hard-to-find results enrich this introduction to the analytic study of random walks on infinite graphs.

An introduction to Griffiths'' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.

An introduction to Griffiths'' theory of period maps and domains, focused on algebraic, group-theoretic and differential geometric aspects.

A graduate-level introduction to some of the important contemporary ideas and problems in the theory of moduli spaces.

A graduate-level introduction to some of the important contemporary ideas and problems in the theory of moduli spaces.

An exposition of the theory of curves over a finite field, and connections to the Riemann Hypothesis for function fields.

An exposition of the theory of curves over a finite field, and connections to the Riemann Hypothesis for function fields.

Sure to be influential, this book lays the foundations for the use of algebraic geometry in statistical learning theory.

This book tells the story of the first computer exploration of Klein''s vision of infinitely repeated reflections, featuring extraordinary images.

A comprehensive introduction to quasiconformal surgery in holomorphic dynamics.

A comprehensive introduction to quasiconformal surgery in holomorphic dynamics.

Popular undergraduate textbook revealing the beauty of geometry.

A complete presentation of a central part of convex geometry, from basics for beginners, to the exposition of current research.

A complete presentation of a central part of convex geometry, from basics for beginners, to the exposition of current research.

Lavishly illustrated and entertaining account of the surprising and useful results of the maths of folding and unfolding.

The author presents deterministic chaos from the standpoint of theoretical computer arithmetic, leading to universal properties described by symbolic dynamics.

The second volume of three providing a full and detailed account of undergraduate mathematical analysis.

A unique presentation of modern geometric methods in quantum field theory for researchers and graduate students in mathematics and physics.

This fascinating book will interest anyone wanting to learn more about the relationship between mathematics and the arts.

The second volume of three providing a full and detailed account of undergraduate mathematical analysis.

A unique presentation of modern geometric methods in quantum field theory for researchers and graduate students in mathematics and physics.

This fascinating book will interest anyone wanting to learn more about the relationship between mathematics and the arts.

A comprehensive, rigorous treatment of geometric tomography, with 66 unsolved problems, over 70 illustrations, and over 800 references.

A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular.

An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program.

An authoritative reference and the first comprehensive treatment of the singularities of the minimal model program.

A quick guide to computing in algebraic geometry with many explicit computational examples introducing the computer algebra system Singular.

Demonstrates the close relationship between matrix theory and elementary Euclidean geometry, with emphasis on using simple graph-theoretical notions.

The author presents deterministic chaos from the standpoint of theoretical computer arithmetic, leading to universal properties described by symbolic dynamics.

This book is an elementary introduction to the geometrical methods and notions used in special and general relativity.

This book explores determinantal ideals of square matrices from the perspective of commutative algebra, with a particular emphasis on linear matrices.

Surveys of recent important developments in combinatorics covering a wide range of areas in the field.

Surveys of recent important developments in combinatorics covering a wide range of areas in the field.

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