Geometry

Differential Geometry of Manifolds, Second Edition presents the extension of differential geometry from curves and surfaces to manifolds in general.

Differential Geometry of Manifolds, Second Edition presents the extension of differential geometry from curves and surfaces to manifolds in general.

Tessellations: Mathematics, Art and Recreation aims to present a comprehensive introduction to tessellations (tiling) at a level accessible to non-specialists.

This unique textbook combines traditional geometry presents a contemporary approach that is grounded in real-world applications.

This unique textbook combines traditional geometry presents a contemporary approach that is grounded in real-world applications.

Comprising a selection of expository and research papers, Harmonic Analysis and Integral Geometry grew from presentations offered at the July 1998 Summer University of Safi, Morocco-an annual, advanced research school and congress.

Although twistor theory originated as an approach to the unification of quantum theory and general relativity, twistor correspondences and their generalizations have provided powerful mathematical tools for studying problems in differential geometry, nonlinear equations, and representation theory.

Pure mathematicians have only recently begun a rigorous study of topological quantum field theories (TQFTs).

The cognitive foundations of geometry have puzzled academics for a long time, and even today are mostly unknown to many scholars, including mathematical cognition researchers.

The cognitive foundations of geometry have puzzled academics for a long time, and even today are mostly unknown to many scholars, including mathematical cognition researchers.

The author offers a thorough presentation of the classical theory of algebraic numbers and algebraic functions which both in its conception and in many details differs from the current literature on the subject.

The author offers a thorough presentation of the classical theory of algebraic numbers and algebraic functions which both in its conception and in many details differs from the current literature on the subject.

Molecules, galaxies, art galleries, sculptures, viruses, crystals, architecture, and more: Shaping Space-Exploring Polyhedra in Nature, Art, and the Geometrical Imagination is an exuberant survey of polyhedra and at the same time a hands-on, mind-boggling introduction to one of the oldest and most fascinating branches of mathematics.

This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover.

This book aims to provide an introduction to the broad and dynamic subject of discrete energy problems and point configurations.

Symmetry is a key ingredient in many mathematical, physical, and biological theories.

"e;Mirrors and Reflections"e; presents a systematic and elementary introduction to the properties of finite groups generated by reflections.

From Combinatorics to Philosophy: The Legacy of G.

This book provides a comprehensive introduction to the latest advances in the mathematical theory and computational tools for modeling high-dimensional data drawn from one or multiple low-dimensional subspaces (or manifolds) and potentially corrupted by noise, gross errors, or outliers.

While we were busy putting together the present collection of articles celebrating the twentieth birthday of our journal, Discrete & Computational Geometry, and, in a way, of the ?

This self-contained text is an excellent introduction to Lie groups and their actions on manifolds.

This unique text provides a geometric approach to group theory and linear algebra, bringing to light the interesting ways in which these subjects interact.

This text started out as a revised version of Buildings by the second-named author [53], but it has grown into a much more voluminous book.

This book is a monograph on unitals embedded in ?

This book examines interactions of polyhedral discrete geometry and algebra.

Nature and the world around us that we ourselves design, furnish, and build contain many geometric patterns and structures.

Algorithms in algebraic geometry go hand in hand with software packages that implement them.

Oene Bottema (1901-1992) may not be so well known abroad, but in his own country he is "e;the great geometer"e;.

This is the second of approximately four volumes that the authors plan to write in their examination of all the claims made by S.

In the last decade, there has been a burgeoning of activity in the design and implementation of algorithms for algebraic geometric compuation.

From reviews of the first edition:"e;In the world of mathematics, the 1980's might well be described as the "e;decade of the fractal"e;.

A mathematician, like a painter or a poet, is a maker of patterns.

Over the past two decades, the once small local Colorado Springs Mathematics Olympiad, founded by the author himself, has now become an annual state-wide competition, hosting over one-thousand high school contenders each year.

1 An Initial Assignment I haven't taught the history of mathematics that often, but I do rather like the course.

This book provides a modern treatment of Lie's geometry of spheres, its applications and the study of Euclidean space.

This book joins several other books available for the preparation of young scholars for a future that involves solving mathematical pr- lems.

This book is devoted to the study of scalar and asymptotic scalar derivatives and their applications to the study of some problems considered in nonlinear analysis, in geometry, and in applied mathematics.

Deformable objects are ubiquitous in the world surrounding us, on all levels from micro to macro.

A book on any mathematical subject above textbook level is not of much value unless it contains new ideas and new perspectives.

Leonardo da Pisa, perhaps better known as Fibonacci (ca.

The breakthrough idea of parallel coordinates has enchanted many people with its cleverness and power.

Putnam and Beyond takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis in one and several variables, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability.

Differential forms satisfying the A-harmonic equations have found wide applications in fields such as general relativity, theory of elasticity, quasiconformal analysis, differential geometry, and nonlinear differential equations in domains on manifolds.

Praise for George Francis's A Topological Picturebook:Bravo to Springer for reissuing this unique and beautiful book!

This book offers the most comprehensive survey to date of the theory of semiparallel submanifolds.

Blending algebra, analysis, and topology, the study of compact Lie groups is one of the most beautiful areas of mathematics and a key stepping stone to the theory of general Lie groups.

Since the term "e;random ?

This book is an exposition of the theoretical foundations of hyperbolic manifolds.

The world is continuous, but the mind is discrete.

Conics and Cubics is an accessible introduction to algebraic curves.