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Introduction to Non-Euclidean Geometry

students familiar with calculus. A full treatment of the historical background explores the centuries-long efforts to prove Euclid's parallel;

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Collineations and Conic Sections

Applications of Conics in History With rare exception, the only prior knowledge required is a background in high school geometry. As a proof-based;

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Collineations and Conic Sections

Applications of Conics in History With rare exception, the only prior knowledge required is a background in high school geometry. As a proof-based;

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Arakelov Geometry and Diophantine Applications

of current diophantine problems to which Arakelov geometry has been or may be applied. Arakelov geometry can be seen as a link between algebraic;

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Gravitational Curvature

This classic text and reference monograph applies modern differential geometry to general relativity. A brief mathematical introduction to;

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Hyperbolic Knot Theory

. Hyperbolic geometry was first used as a tool to study knots by Riley and then Thurston in the 1970s. By the 1980s, combining work of Mostow and;

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Quantitative Tamarkin Theory

analysis method. A background in algebra and differential geometry is recommended. This book is part of the Virtual Series on Symplectic;

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Quantitative Tamarkin Theory

analysis method. A background in algebra and differential geometry is recommended. This book is part of the Virtual Series on Symplectic;

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Foundations of Geometry

seeking further background in geometry. It explores the principles of Euclidean and non-Euclidean geometry, and it instructs readers in both;

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Calculus

include worked-out examples, a summary of the main points of each chapter, exercises, and where needed, background material on algebra, geometry;

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Algebraic Geometry

Aimed primarily at graduate students and beginning researchers, this book provides an introduction to algebraic geometry that;

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Complex Numbers and Geometry

for a geometry course, or for a problem solving seminar, or as enrichment for the student who wants to know more.;

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Zariski Geometries

why the extension to noncommutative geometry, which has been forced by recent developments in quantum physics, is both natural and necessary;

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Topics in Cyclic Theory

own approach to the subject. The basic definitions, examples and exercises provided here allow non-specialists and students with a background;

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Topics in Cyclic Theory

own approach to the subject. The basic definitions, examples and exercises provided here allow non-specialists and students with a background;

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Computational Geometry

This well-accepted introduction to computational geometry is a textbook for high-level undergraduate and low-level graduate courses. The;

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New Horizons in Geometry

geometry that requires only a modest background in mathematics. Using new and intuitively rich methods, they give beautifully illustrated proofs;

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A Background to Geometry

ordinary Euclidean geometry. The text is divided into four books corresponding to stages in the development of a geometrical system from simple;

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Lectures on Arakelov Geometry

Arakelov theory is a new geometric approach to diophantine equations. It combines algebraic geometry in the sense of Grothendieck with;

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A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing

A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing shows how to use a collection;

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A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing

A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing shows how to use a collection;

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Foundations of Geometry

basis of an axiom system due, in principle, to the work of David Hilbert. Part Two develops projective geometry in much the same way. An;

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Introduction To Mobius Differential Geometry

background in Riemannian geometry and elementary differential geometry) and as a reference work for researchers.;

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SemiRiemannian Geometry The Mathematical Language of General Relativity

An introduction to semi-Riemannian geometry as a foundation for general relativity Semi-Riemannian Geometry: The Mathematical Language;

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Toric Varieties

geometry. Readers of this book should be familiar with the material covered in basic graduate courses in algebra and topology, and to a somewhat;

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n-gons

accessible to the student who lacks a sophisticated background in mathematics. It stimulates geometrical thought by applying the tools of linear;

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Geometric Methods and Applications

As an introduction to fundamental geometric concepts and tools needed for solving problems of a geometric nature using a computer, this;

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