Geometry

Investigates efficiency properties such as Pareto maximality and fairness properties such as envy-freeness in a geometric context.

This 2003 book connects topology and algebra using modern techniques.

This 2003 book investigates interplay between algebra and geometry.

Topics include transformations, lighting and shading, ray tracing, radiosity, texture mapping, colour theory, and aspects of animation.

Photocopy and make flexagon nets plus explanation of maths at recreational level.

This book offers a detailed treatment of a class of algebro-geometric solutions and their representations.

Collection of papers summarising the state of the art.

This book introduces the reader to the geometry of surfaces and submanifolds in the conformal n-sphere.

Articles from leading researchers to introduce the reader to cutting-edge topics in integrable systems theory.

Self-contained, richly illustrated account of modern differential geometry applied to integral geometry.

This book studies the geometric theory of polynomials and rational functions in the plane.

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

A modern, comprehensive review of abstract regular polytopes.

Presents a modern treatment of the theory of theta functions in the context of algebraic geometry.

The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry.

The first of two volumes offering a modern introduction to Kaehlerian geometry and Hodge structure written for students.

A quick introduction to foliations and Lie groupoids with numerous examples and exercises to aid the reader.

This book presents the theory of Frobenius manifolds, as well as all the necessary tools and several applications.

Accessible and pedagogical introduction to the theory of harmonic maps, covering recent results and applications.

A broad introduction, perfect for a one-year graduate course.

Fields-medal winner Donaldson reviews current work, including his own, on the theory of Floer.

Intended for students of many different backgrounds with only a modest knowledge of mathematics, this text features self-contained chapters that can be adapted to several types of geometry courses.

Originally published over a century ago, this work remains among the most useful and practical expositions of Fourier's series, and spherical, cylindrical, and ellipsoidal harmonics.

For students of mathematics with a sound background in analytic geometry and some knowledge of determinants, this volume has long been among the best available expositions of advanced work on projective and algebraic geometry.

Full and authoritative, this history of the techniques for dealing with geometric questions begins with synthetic geometry and its origins in Babylonian and Egyptian mathematics; reviews the contributions of China, Japan, India, and Greece; and discusses the non-Euclidean geometries.

"e;Of chief interest to mathematicians, but physicists and others will be fascinated .

The author of Alice in Wonderland (and an Oxford professor of mathematics) employs the fanciful format of a play set in Hell to take a hard look at late-19th-century interpretations of Euclidean geometry.

This lucid introductory text offers both an analytic and an axiomatic approach to plane projective geometry.

Translated into many languages, this book was in continuous use as the standard university-level text for a quarter-century, until it was revised and enlarged by the author in 1952.

This excellent introduction to topology eases first-year math students and general readers into the subject by surveying its concepts in a descriptive and intuitive way, attempting to build a bridge from the familiar concepts of geometry to the formalized study of topology.

Elementary, yet authoritative and scholarly, this book offers an excellent brief introduction to the classical theory of differential geometry.

From angles to functions to identities - solve trig equations with ease Got a grasp on the terms and concepts you need to know, but get lost halfway through a problem or worse yet, not know where to begin?

An integrated approach to fractals and point processes This publication provides a complete and integrated presentation of the fields of fractals and point processes, from definitions and measures to analysis and estimation.

You, too, can understand geometry -- just ask Dr.

Learn geometry at your own paceWhat are congruent circles?

Guides readers through the development of geometry and basic proof writing using a historical approach to the topic In an effort to fully appreciate the logic and structure of geometric proofs, Revolutions of Geometry places proofs into the context of geometry's history, helping readers to understand that proof writing is crucial to the job of a mathematician.

Explores the development of the ellipse and presents mathematical concepts within a rich, historical context The Ellipse features a unique, narrative approach when presenting the development of this mathematical fixture, revealing its parallels to mankind's advancement from the Counter-Reformation to the Enlightenment.

A one-stop reference to fractional factorials and relatedorthogonal arrays.

Spatial data analysis is a fast growing area and Voronoi diagrams provide a means of naturally partitioning space into subregions to facilitate spatial data manipulation, modelling of spatial structures, pattern recognition and locational optimization.

Recent research on the theory of perturbations, the analytical approach and the quantitative analysis of the three-body problem have reached a high degree of perfection.

Recent Progress of Algebraic Geometry in Japan

Architecture of Mathematics describes the logical structure of Mathematics from its foundations to its real-world applications.

Architecture of Mathematics describes the logical structure of Mathematics from its foundations to its real-world applications.

Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the metric geometry of Banach spaces and the theory of martingales, and general random vectors with values in those Banach spaces.

Geometry and Martingales in Banach Spaces provides a compact exposition of the results explaining the interrelations existing between the metric geometry of Banach spaces and the theory of martingales, and general random vectors with values in those Banach spaces.

This new edition of Six Simple Twists: The Pleat Pattern Approach to Origami Tessellation Design introduces an innovative pleat pattern technique for origami designs that is easily accessible to anyone who enjoys the geometry of paper.

This new edition of Six Simple Twists: The Pleat Pattern Approach to Origami Tessellation Design introduces an innovative pleat pattern technique for origami designs that is easily accessible to anyone who enjoys the geometry of paper.

Pencils of Cubics and Algebraic Curves in the Real Projective Plane thoroughly examines the combinatorial configurations of n generic points in RP2.

Pencils of Cubics and Algebraic Curves in the Real Projective Plane thoroughly examines the combinatorial configurations of n generic points in RP2.

Topological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations.