Geometry

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

Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions.

Generalized Trigonometric and Hyperbolic Functions highlights, to those in the area of generalized trigonometric functions, an alternative path to the creation and analysis of these classes of functions.

Sturm-Liouville problems arise naturally in solving technical problems in engineering, physics, and more recently in biology and the social sciences.

Sturm-Liouville problems arise naturally in solving technical problems in engineering, physics, and more recently in biology and the social sciences.

Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics.

Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics.

The origami introduced in this book is based on simple techniques.

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

The origami introduced in this book is based on simple techniques.

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.

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.

Carl Friedrich Gauss, the "e;foremost of mathematicians,"e; was a land surveyor.

Wondrous One Sheet Origami is a how-to book full of beautiful origami designs covering a wide range of folding levels from simple to high intermediate, with more emphasis on the latter.

Wondrous One Sheet Origami is a how-to book full of beautiful origami designs covering a wide range of folding levels from simple to high intermediate, with more emphasis on the latter.

Carl Friedrich Gauss, the "e;foremost of mathematicians,"e; was a land surveyor.

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 early 21st century marks a new era in space exploration.

The early 21st century marks a new era in space exploration.

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.

In this book, the author writes freely and often humorously about his life, beginning with his earliest childhood days.

"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.

Nonlinear Optimization is an intriguing area of study where mathematical theory, algorithms and applications converge to calculate the optimal values of continuous functions.

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.