Geometry

The aim of this book is the classification of symplectic amalgams - structures which are intimately related to the finite simple groups.

Advances in Algebraic Geometry Codes presents the most successful applications of algebraic geometry to the field of error-correcting codes, which are used in the industry when one sends information through a noisy channel.

This book provides concise descriptions of the various solutions of transition curves, which can be used in geometric design of roads and highways.

This monograph, for the first time in book form, considers the large structure of metric spaces as captured by bornologies: families of subsets that contain the singletons, that are stable under finite unions, and that are stable under taking subsets of its members.

This book arises from the INdAM Meeting "e;Complex and Symplectic Geometry"e;, which was held in Cortona in June 2016.

One of the most creative mathematicians of our times, Vladimir Drinfeld received the Fields Medal in 1990 for his groundbreaking contributions to the Langlands program and to the theory of quantum groups.

This book includes 58 selected articles that highlight the major contributions of Professor Radha Charan Gupta-a doyen of history of mathematics-written on a variety of important topics pertaining to mathematics and astronomy in India.

The present monograph is motivated by two distinct aims.

This set of notes is aimed at graduate students who are specializing in algebraic topology.

Decomposable sets since T.

The hexaflexagon is a folded paper strip of colored triangles that has long delighted people with how it "e;magically"e; changes its appearance when "e;flexed"e;.

VII Preface In many fields of mathematics, geometry has established itself as a fruitful method and common language for describing basic phenomena and problems as well as suggesting ways of solutions.

These notes introduce a new class of algebraic curves on Hilbert modular surfaces.

An infinite-dimensional manifold is a topological manifold modeled on some infinite-dimensional homogeneous space called a model space.

The title of this book is no surprise for people working in the field of Analytical Mechanics.

Equivariant cohomology on smooth manifolds is the subject of this book which is part of a collection of volumes edited by J.

A comprehensive account giving advanced students and researchers an accessible route into the wide-ranging field of differential topology.

Stochastic analysis on Riemannian manifolds without boundary has been well established.

[From the foreword by B.

This innovative textbook introduces a new pattern-based approach to learning proof methods in the mathematical sciences.

The book presents a general mathematical framework able to detect and to characterise, from a morphological and statistical perspective, patterns hidden in spatial data.

This collection of peer-reviewed workshop papers provides comprehensive coverage of cutting-edge research into topological approaches to data analysis and visualization.

Seit den Anfängen der Theorie der Minimalflächen vor mehr als zwei Jahrhunderten sind viele große Geister aller Epochen von ihrem Reize fasziniert worden.

Despite the fundamental role played by Reshetnyak's work in the theory of surfaces of bounded integral curvature, the proofs of his results were only available in his original articles, written in Russian and often hard to find.

Quaternions are members of a noncommutative division algebra first invented by William Rowan Hamilton.

These lecture notes are based on the joint work of the author and Arthur Fischer on Teichmiiller theory undertaken in the years 1980-1986.

This is a monograph on geometrical and topological features which arise in various quantization procedures.

Twists, Tilings, and Tessellation describes the underlying principles and mathematics of the broad and exciting field of abstract and mathematical origami, most notably the field of origami tessellations.

This book gathers problems based on over twenty years of the Indiana College Mathematics Competition, a regional problem-solving contest for teams of undergraduates.

Calabi-Yau manifolds have been an object of extensive research during the last two decades.

This is the fifth proceedings volume published under the Women in Numbers umbrella.

In this textbook the authors present first-year geometry roughly in the order in which it was discovered.

The second of a two-part volume, this collection offers a unifying vision of algebraic geometry, exploring its evolution over the last four decades as well as state-of-the art research.

This is an introduction to diophantine geometry at the advanced graduate level.

The topics faced in this book cover a large spectrum of current trends in mathematics, such as Shimura varieties and the Lang lands program, zonotopal combinatorics, non linear potential theory, variational methods in imaging, Riemann holonomy and algebraic geometry, mathematical problems arising in kinetic theory, Boltzmann systems, Pell's equations in polynomials, deformation theory in non commutative algebras.

This book collects and explains the many theorems concerning the existence of certificates of positivity for polynomials that are positive globally or on semialgebraic sets.

This book contains an exposition of the theory of meromorphic functions and linear series on a compact Riemann surface.

It is gratifying to learn that there is new life in an old field that has been at the center of one's existence for over a quarter of a century.

This text on analysis of Riemannian manifolds is aimed at students who have had a first course in differentiable manifolds.

From the reviews: "e;.

In the first two chapters of this book, the reader will find a complete and systematic exposition of the theory of hyperfunctions on totally real submanifolds of multidimensional complex space, in particular of hyperfunction theory in real space.

Basic Algebra and Advanced Algebra systematically develop concepts and tools in algebra that are vital to every mathematician, whether pure or applied, aspiring or established.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

This book contains a systematic exposition of the theory of spinors in finite-dimensional Euclidean and Riemannian spaces.