Geometry

The characterization of combinatorial or geometric structures in terms of their groups of automorphisms has attracted considerable interest in the last decades and is now commonly viewed as a natural generalization of Felix Klein's Erlangen program(1872).

A Course in Topological Combinatorics is the first undergraduate textbook on the field of topological combinatorics, a subject that has become an active and innovative research area in mathematics over the last thirty years with growing applications in math, computer science, and other applied areas.

The first book devoted to ellipsoidal harmonics presents the state of the art in this fascinating subject.

This textbook invites readers to explore the properties of objects that we effortlessly recognize as symmetrical.

The Applications of Computer Algebra (ACA) conference covers a wide range of topics from Coding Theory to Differential Algebra to Quantam Computing, focusing on the interactions of these and other areas with the discipline of Computer Algebra.

Cinderella ist eine einzigartige, technisch ausgereifte interaktive Geometrie-Lernsoftware, die sich ausgezeichnet für Studenten zum Erlernen der Euklidischen, projektiven, sphärischen und hyperbolischen Geometrie eignet.

Can artificial intelligence learn mathematics?

This book teaches algebra and geometry.

How I have (re-)written this book The book the reader has in hand was supposed to be a new edition of [14].

In recent years, extensive research has been conducted by eminent mathematicians and engineers whose results and proposed problems are presented in this new volume.

This book offers an up-to-date overview of the recently proposed theory of quantum isometry groups.

This volume consists of research papers and expository survey articles presented by the invited speakers of the Summer Workshop on Lattice Polytopes.

Inverse scattering problems are a vital subject for both theoretical and experimental studies and remain an active field of research in applied mathematics.

This book is the outcome of research initiatives formed during the special ``Research Trimester on Multiple Zeta Values, Multiple Polylogarithms, and Quantum Field Theory' at the ICMAT (Instituto de Ciencias Matematicas, Madrid) in 2014.

Starting point and motivation for this volume is the classical Muentz theorem which states that the space of all polynomials on the unit interval, whose exponents have too many gaps, is no longer dense in the space of all continuous functions.

The invariant theory of non-reductive groups has its roots in the 19th century but has seen some very interesting developments in the past twenty years.

Historically, science has sought to reduce complex problems to their simplest components, but more recently it has recognized the merit of studying complex phenomena in situ.

A classic treatment of the geometry of orthogonal spaces from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.

This volume records the proceedings of an international conference that explored recent developments and the interaction between mathematical theory and physical phenomena.

The collection of papers in this volume represents recent advances in the under- standing of the geometry and topology of singularities.

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

If you have not heard about cohomology, this book may be suited for you.

In the Teichmuller theory of Riemann surfaces, besides the classical theory of quasi-conformal mappings, vari- ous approaches from differential geometry and algebraic geometry have merged in recent years.

The aim of Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties is to discuss primarily about different kinds of summable spaces, compute their duals and then characterize several matrix classes transforming one summable space into other.

This book explores determinantal ideals of square matrices from the perspective of commutative algebra, with a particular emphasis on linear matrices.

This text provides a comprehensive introduction to Berezin-Toeplitz operators on compact Kahler manifolds.

A snapshot of the major renaissance happening today in the study of locally compact groups and their many applications.

It was the aim of the Erlangen meeting in May 1988 to bring together number theoretists and algebraic geometers to discuss problems of common interest, such as moduli problems, complex tori, integral points, rationality questions, automorphic forms.

This IMA Volume in Mathematics and its Applications TOPOLOGY AND GEOMETRY IN POLYMER SCIENCE is based on the proceedings of a very successful one-week workshop with the same title.

A Sampler of Useful Computational Tools for Applied Geometry, Computer Graphics, and Image Processing shows how to use a collection of mathematical techniques to solve important problems in applied mathematics and computer science areas.

This volume is devoted to the "e;hyperbolic theory"e; of dynamical systems (DS), that is, the theory of smooth DS's with hyperbolic behaviour of the tra- jectories (generally speaking, not the individual trajectories, but trajectories filling out more or less "e;significant"e; subsets in the phase space.

This book explores fundamental aspects of geometric network optimisation with applications to a variety of real world problems.

The theory of hyperbolic groups has its starting point in a fundamental paper by M.

Mathematics in Science and Engineering, Volume 51: Convex Structures and Economic Theory consists of an account of the theory of convex sets and its application to several basic problems that originate in economic theory and adjacent subject matter.

Visualization and mathematics have begun a fruitful relationship, establishing links between problems and solutions of both fields.

This book provides a systematic treatment of algebraic and topological properties of convex sets (possibly non-closed or unbounded) in the n-dimensional Euclidean space.

This is a book on topology and geometry and, like any books on subjects as vast as these, it has a point-of-view that guided the selection of topics.

The present book is intended as a textbook and reference work on three topics in the title.

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;.

This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry.

Cohomology of Completions

Based on a two-semester course aimed at illustrating various interactions of "e;pure mathematics"e; with other sciences, such as hydrodynamics, thermodynamics, statistical physics and information theory, this text unifies three general topics of analysis and physics, which are as follows: the dimensional analysis of physical quantities, which contains various applications including Kolmogorov's model for turbulence; functions of very large number of variables and the principle of concentration along with the non-linear law of large numbers, the geometric meaning of the Gauss and Maxwell distributions, and the Kotelnikov-Shannon theorem; and, finally, classical thermodynamics and contact geometry, which covers two main principles of thermodynamics in the language of differential forms, contact distributions, the Frobenius theorem and the Carnot-Caratheodory metric.

This book, Algebraic Computability and Enumeration Models: Recursion Theory and Descriptive Complexity, presents new techniques with functorial models to address important areas on pure mathematics and computability theory from the algebraic viewpoint.