Geometry

In this second edition, the following recent papers have been added: "e;Gauss Codes, Quantum Groups and Ribbon Hopf Algebras"e;, "e;Spin Networks, Topology and Discrete Physics"e;, "e;Link Polynomials and a Graphical Calculus"e; and "e;Knots Tangles and Electrical Networks"e;.

These proceedings of ''Groups St Andrews 2017'' provide a snapshot of the state-of-the-art in contemporary group theory.

Over the last two decades, topological ideas have found increasingly more applications in quantum field theory.

The present volume contains, together with numerous addition and extensions, the course of lectures which I gave at Pavia (26 September till 5 October 1955) by invitation of the Centro Internazionale Mate- matico Estivo .

This is an collection of some easily-formulated problems that remain open in the study of the geometry and analysis of Banach spaces.

Maps are beguilingly simple structures with deep and ubiquitous properties.

This book constitutes the revised selected papers of the 37th International Workshop on Graph-Theoretic Concepts in Computer Science, WG 2011, held at Tepla Monastery, Czech Republic, in June 2011.

A contemporary exploration of the interplay between geometry, spectral theory and stochastics which is explored for graphs and manifolds.

This book is the first comprehensive presentation of a central topic of stochastic geometry: random mosaics that are generated by Poisson processes of hyperplanes.

This text introduces geometric spectral theory in the context of infinite-area Riemann surfaces, providing a comprehensive account of the most recent developments in the field.

This volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016.

Written to honor the enduring influence of William Fulton, these articles present substantial contributions to algebraic geometry.

This textbook offers a geometric perspective on special relativity, bridging Euclidean space, hyperbolic space, and Einstein's spacetime in one accessible, self-contained volume.

This proceedings volume focusses on the applications of geometry in present day science.

Following the success of the first edition, recent developments in the field of morphological image analysis called for an extended second edition.

- Following on from the 2000 edition of Jan De Witt's Elementa Curvarum Linearum, Liber Primus, this book provides the accompanying translation of the second volume of Elementa Curvarum Linearum (Foundations of Curved Lines).

This is the second volume of the Handbook of the Geometry and Topology of Singularities, a series which aims to provide an accessible account of the state-of-the-art of the subject, its frontiers, and its interactions with other areas of research.

Solutions Manual to accompany Classical Geometry: Euclidean, Transformational, Inversive, and Projective Written by well-known mathematical problem solvers, Classical Geometry: Euclidean, Transformational, Inversive, and Projective features up-to-date and applicable coverage of the wide spectrum of geometry and aids readers in learning the art of logical reasoning, modeling, and proof.

This classic work has been fundamentally revised to take account of recent developments in general topology.

This collection of tiling patterns contains over 4,000 images combining the wonders of art and mathematics.

This book constitutes the thoroughly refereed proceedings of the 38th International Workshop on Graph Theoretic Concepts in Computer Science (WG 2012) held in Jerusalem, Israel on June 26-28, 2012.

This volume presents a collection of results related to the BSD conjecture, based on the first two India-China conferences on this topic.

This volume offers a well-structured overview of existent computational approaches to Riemann surfaces and those currently in development.

Based on undergraduate teaching to students in computer science, economics and mathematics at Aarhus University, this is an elementary introduction to convex sets and convex functions with emphasis on concrete computations and examples.

This book is designed for graduate students to acquire knowledge of dimension theory, ANR theory (theory of retracts), and related topics.

Metric Affine Geometry focuses on linear algebra, which is the source for the axiom systems of all affine and projective geometries, both metric and nonmetric.

Dominik Volland studies the construction of a discrete counterpart to the Hilbert transform in the realm of a nonlinear discrete complex analysis given by circle packings.

Presents recent advances of Jordan theory in differential geometry, complex and functional analysis, with numerous examples and historical notes.

Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modelling, this two volume work covers implementation and theory in a thorough and systematic fashion.

A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.

The book is devoted to the geometrical construction of the representations of Lusztig's small quantum groups at roots of unity.

This volume arose from a semester at CIRM-Luminy on "e;Thermodynamic Formalism: Applications to Probability, Geometry and Fractals"e; which brought together leading experts in the area to discuss topical problems and recent progress.

Convex functions play an important role in almost all branches of mathematics as well as other areas of science and engineering.

This book deals with the visualization and exploration of invariant sets (fractals, strange attractors, resonance structures, patterns etc.

An inviting, intuitive, and visual exploration of differential geometry and formsVisual Differential Geometry and Forms fulfills two principal goals.

The second of two volumes offering a modern account of Kaehlerian geometry and Hodge theory for researchers in algebraic and differential geometry.

The primary object of the lecture notes is to develop a treatment of association schemes analogous to that which has been so successful in the theory of finite groups.

Now in its second edition, this monograph explores the Monge-Ampere equation and the latest advances in its study and applications.

The conjectural theory of mixed motives would be a universal cohomology theory in arithmetic algebraic geometry.

Geometry of Derivation with Applications is the fifth work in a longstanding series of books on combinatorial geometry (Subplane Covered Nets, Foundations of Translation Planes, Handbook of Finite Translation Planes, and Combinatorics of Spreads and Parallelisms).

This book treats the two-dimensional non-linear supersymmetric sigma model or spinning string from the perspective of supergeometry.

Algebra is abstract mathematics - let us make no bones about it - yet it is also applied mathematics in its best and purest form.

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.

This book covers terahertz antenna technology for imaging and sensing, along with its various applications.

This monograph presents various ongoing approaches to the vast topic of quantization, which is the process of forming a quantum mechanical system starting from a classical one, and discusses their numerous fruitful interactions with mathematics.