Geometry

In this third volume of his modern introduction to quantum field theory, Eberhard Zeidler examines the mathematical and physical aspects of gauge theory as a principle tool for describing the four fundamental forces which act in the universe: gravitative, electromagnetic, weak interaction and strong interaction.

This 1990 collection of review articles covers the considerable progress made in a wide range of applications of twistor theory.

The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance.

This monograph gives a short introduction to the relevant modern parts of discrete geometry, in addition to leading the reader to the frontiers of geometric research on sphere arrangements.

An exploration of mathematical style through 99 different proofs of the same theoremThis book offers a multifaceted perspective on mathematics by demonstrating 99 different proofs of the same theorem.

The first edition of this book came out just as the apparatus of algebraic geometry was reaching a stage that permitted a lucid and concise account of the foundations of the subject.

The subject matter of this work is an area of Lorentzian geometry which has not been heretofore much investigated: Do there exist Lorentzian manifolds all of whose light-like geodesics are periodic?

This book is an outgrowth of the conference "e;Regulators IV: An International Conference on Arithmetic L-functions and Differential Geometric Methods"e; that was held in Paris in May 2016.

Handbook of Convex Geometry, Volume B offers a survey of convex geometry and its many ramifications and connections with other fields of mathematics, including convexity, lattices, crystallography, and convex functions.

Analytic geometry, or analytical geometry has two different meanings in mathematics.

This volume contains three expanded lecture notes from the program Scalar Curvature in Manifold Topology and Conformal Geometry that was held at the Institute for Mathematical Sciences from 1 November to 31 December 2014.

Written for game programmers and developers, this book covers GPU techniques and supporting applications that are commonly used in games and similar real-time 3D applications.

This 1994 book introduces the tools of modern differential geometry, exterior calculus, manifolds, vector bundles and connections.

This book is written in a pedagogical style intelligible for graduate students.

Boundary problems constitute an essential field of common mathematical interest.

Topics covered in this volume (large deviations, differential geometry, asymptotic expansions, central limit theorems) give a full picture of the current advances in the application of asymptotic methods in mathematical finance, and thereby provide rigorous solutions to important mathematical and financial issues, such as implied volatility asymptotics, local volatility extrapolation, systemic risk and volatility estimation.

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Foundations of higher dimensional category theory for graduate students and researchers in mathematics and mathematical physics.

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This volume collects papers based on lectures given at the XL Workshop on Geometric Methods in Physics, held in Bialowieza, Poland in July 2023.

Comprehensive coverage of the foundations, applications, recent developments, and future of conformal differential geometry Conformal Differential Geometry and Its Generalizations is the first and only text that systematically presents the foundations and manifestations of conformal differential geometry.

Riemannian geometry is characterized, and research is oriented towards and shaped by concepts (geodesics, connections, curvature, .

This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute for Mathematics and its Applications during Fall 2014, when combinatorics was the focus.

This book consists of both expository and research articles solicited from speakers at the conference entitled "e;Arithmetic and Ideal Theory of Rings and Semigroups,"e; held September 22-26, 2014 at the University of Graz, Graz, Austria.

Fractal Functions, Fractal Surfaces, and Wavelets, Second Edition, is the first systematic exposition of the theory of local iterated function systems, local fractal functions and fractal surfaces, and their connections to wavelets and wavelet sets.

Geometry used to be the basis of a mathematical education; today it is not even a standard undergraduate topic.

This book discusses regular powers and symbolic powers of ideals from three perspectives- algebra, combinatorics and geometry - and examines the interactions between them.

This volume is a compilation of papers presented at the conference on differential geometry, in particular, minimal surfaces, real hypersurfaces of a non-flat complex space form, submanifolds of symmetric spaces and curve theory.

Visionary articles explaining approaches to important problems on the interface of pure mathematics and mathematical physics.

This book and the following second volume is an introduction into modern algebraic geometry.

This conference brought together physicists and mathematicians working on spinors, which have played an important role in recent research on supersymmetry, Kaluza-Klein theories, twistors and general relativity.

Based on a course given at Oxford over many years, this book is a short and concise exposition of the central ideas of general relativity.

Intensional and Higher-Order Modal Logic

This volume is an outcome of the workshop "e;Moduli of K-stable Varieties"e;, which was held in Rome, Italy in 2017.

This is the third volume of the Handbook of 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.

This book deals with the classical theory of Nevanlinna on the value distribution of meromorphic functions of one complex variable, based on minimum prerequisites for complex manifolds.

Part one of a two-volume collection exploring recent developments in number theory related to automorphic forms and Galois representations.

This self-contained monograph explores a new theory centered around boolean representations of simplicial complexes leading to a new class of complexes featuring matroids as central to the theory.

This volume presents the results and problems in several complex variables especially L2-methods, Riemannian and Hermitian geometry, spectral theory in Hilbert space, probability and applications in mathematical physics.

The main focus of this book is disseminating research results regarding the pencil of ellipses inscribing arbitrary convex quadrilaterals.

The book is devoted to the study of the geometrical and topological structure of gauge theories.

It is well known that there are close relations between classes of singularities and representation theory via the McKay correspondence and between representation theory and vector bundles on projective spaces via the Bernstein-Gelfand-Gelfand construction.

This book introduces the theory of modular forms with an eye toward the Modularity Theorem:All rational elliptic curves arise from modular forms.

In diesem Lehrbuch stellen die Autoren einen axiomatischen Zugang zur ebenen Geometrie dar, der im Vergleich zu den Hilbertaxiomen und anderen oft gewählten Zugängen strukturelle und didaktische Vorteile bietet.