Geometry

The aim of this book is to introduce and develop an arithmetic analogue of classical differential geometry. In this new geometry the ring of intege...

The original edition of The Geometry of Musical Rhythm was the first book to provide a systematic and accessible computational geometric analysis o...

The essential introduction to discrete and computational geometry—now fully updated and expandedDiscrete and Computational Geometry bridges the the...

A foundational account of a new construction in the p-adic Langlands correspondenceMotivated by the p-adic Langlands program, this book constructs ...

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This book is an introduction to the theory of algebraic spaces and stacks intended for graduate students and researchers familiar with algebraic ge...

Spherical Geometry and Its Applications introduces spherical geometry and its practical applications in a mathematically rigorous form. The text ca...

A Complete Treatment of Current Research Topics in Fourier Transforms and Sinusoids Sinusoids: Theory and Technological Applications explains how s...

Black holes present one of the most fascinating predictions of Einstein's general theory of relativity. There is strong evidence of their existence...

This book offers an introduction to some combinatorial (also, set-theoretical) approaches and methods in geometry of the Euclidean space Rm. The to...

This volume discusses the classical subjects of Euclidean, affine and projective geometry in two and three dimensions, including the classification...

This cutting-edge, standard-setting text explores the spectral geometry of Riemannian submersions. Working for the most part with the form valued L...

Knot Projections offers a comprehensive overview of the latest methods in the study of this branch of topology, based on current research inspired ...

Differential Geometry from a Singularity Theory Viewpoint provides a new look at the fascinating and classical subject of the differential geometry...

This book provides an accessible introduction to using the tools of differential geometry to tackle a wide range of topics in physics, with the con...

Brings Readers Up to Speed in This Important and Rapidly Growing AreaSupported by many examples in mathematics, physics, economics, engineering, an...

This book provides a gentle introduction to the foundations of Algebraic Geometry, starting from computational topics (ideals and homogeneous ideal...

This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. Differing from existing textbooks in appr...

"Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics. This enyclopedia is filled with valuable informatio...

This volume offers an introduction to recent developments in several active topics of research at the interface between geometry, topology and quan...

In the past thirty years, differential geometry has undergone an enormous change with infusion of topology, Lie theory, complex analysis, algebraic...

This volume is published in honor of the sixtieth birthdays of Professors Reiko Miyaoka and Keizo Yamaguchi, contributed by international researche...

This book provides an extensive and self-contained presentation of quantum and related invariants of knots and 3-manifolds. Polynomial invariants o...

The investigation of phenomena involving fractals has gone through a spectacular development in the last decade. Many physical, technological and b...

Through two previous editions, the third edition of this popular and intriguing text takes both an analytical/theoretical approach and a visual/int...

This book introduces multiplicative Frenet curves. We define multiplicative tangent, multiplicative normal, and multiplicative normal plane for a m...

Welcome to the world of scale symmetry, the last elementary symmetry and the least explored!Find out how this long-neglected element transforms the...

This book collects and organizes work in quasi-uniformities and quasi-proximities in order to encourage the use of the structures in general topolo...

There are precisely two further generalizations of the real and complex numbers, namely, the quaternions and the octonions. The quaternions natural...

This book provides a gentle introduction to the foundations of Algebraic Geometry, starting from computational topics (ideals and homogeneous ideal...

This work focuses on the association of methods from topology, category and sheaf theory, algebraic geometry, noncommutative and homological algebr...

Offering the insights of L.S. Pontryagin, one of the foremost thinkers in modern mathematics, the second volume in this four-volume set examines th...