Geometry

The book is designed chiefly for the use of students and teachers.

Discrete geometry investigates combinatorial properties of configurations of geometric objects.

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

This book aims to provide a friendly introduction to non-commutative geometry.

The first part of the book studies pseudo-periodic maps of a closed surface of genus greater than or equal to two.

An introduction to key concepts of quantum information processing for graduates and researchers.

Professor Atiyah is one of the greatest living mathematicians and is renowned in the mathematical world.

The geometry of lines occurs naturally in such different areas as sculptured surface machining, computation of offsets and medial axes, surface reconstruction for reverse engineering, geometrical optics, kinematics and motion design, and modeling of developable surfaces.

In recent times, group theory has found wider applications in various fields of algebra and mathematics in general.

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

This book presents the reader with a fresh and unconventional approach to teaching crystallographic symmetry.

This proceedings volume gathers selected, revised papers presented at the X International Meeting on Lorentzian Geometry (GeLoCor 2021), virtually held at the University of Cordoba, Spain, on February 1-5, 2021.

In this book, two seemingly unrelated fields -- algebraic topology and robust control -- are brought together.

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This book provides a first course on lattices - mathematical objects pertaining to the realm of discrete geometry, which are of interest to mathematicians for their structure and, at the same time, are used by electrical and computer engineers working on coding theory and cryptography.

This volume is devoted to a beautiful object, called the valuative tree and designed as a powerful tool for the study of singularities in two complex dimensions.

The book deals with the (elementary and introductory) theory of valuation rings.

Whilst the greatest effort has been made to ensure the quality of this text, due to the historical nature of this content, in some rare cases there may be minor issues with legibility.

Mathematicians and non-mathematicians alike have long been fascinated by geometrical problems, particularly those that are intuitive in the sense of being easy to state, perhaps with the aid of a simple diagram.

A comprehensive collection of expository articles on cutting-edge topics at the forefront of research in algebraic geometry.

This book gives an up-to-date exposition on the theory of oblique derivative problems for elliptic equations.

An advanced treatment of surgery theory for graduate students and researchersSurgery theory, a subfield of geometric topology, is the study of the classifications of manifolds.

A collection of articles giving overviews and open questions in singularities and their computational aspects.

A complete presentation of a central part of convex geometry, from basics for beginners, to the exposition of current research.

Cinderella is a unique, technically very sophisticated teachware for geometry.

This volume combines an introduction to central collineations with an introduction to projective geometry, set in its historical context and aiming to provide the reader with a general history through the middle of the nineteenth century.

This volume contains three long lecture series by J.

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

Althoughsubmanifoldscomplexmanifoldshasbeenanactive?

This book offers an introduction to the theory of groupoids and their representations encompassing the standard theory of groups.

Meyer's Geometry and Its Applications, Second Edition, combines traditional geometry with current ideas to present a modern approach that is grounded in real-world applications.

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

This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 "e;Algorithmic and Experimental Methods in Algebra, Geometry and Number Theory"e;, which was established and generously supported by the German Research Foundation (DFG) from 2010 to 2016.

Consisting of two parts, the first part of this volume is an essentially self-contained exposition of the geometric aspects of local and global regularity theory for the Monge-Ampere and linearized Monge-Ampere equations.

The aim of this book is to present the fundamental concepts and properties of the geodesic flow of a closed Riemannian manifold.

This book is an introduction to singularities for graduate students and researchers.

This book is divided into two parts, the first of which seeks to connect the phase transitions of various disciplines, including game theory, and to explore the synergies between statistical physics and combinatorics.

Mikhail Gromov introduced pseudo-holomorphic curves into symplectic geometry in 1985.