Geometry

This book presents a geometric theory of complex analytic integrals representing hypergeometric functions of several variables.

This book provides a largely self-contained introduction to Cox rings and their applications in algebraic and arithmetic geometry.

Putnam and Beyond takes the reader on a journey through the world of college mathematics, focusing on some of the most important concepts and results in the theories of polynomials, linear algebra, real analysis in one and several variables, differential equations, coordinate geometry, trigonometry, elementary number theory, combinatorics, and probability.

Topics include transformations, lighting and shading, ray tracing, radiosity, texture mapping, colour theory, and aspects of animation.

Fractals are intricate geometrical forms that contain miniature copies of themselves on ever smaller scales.

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Gauge Field theory in Natural Geometric Language addresses the need to clarify basic mathematical concepts at the crossroad between gravitation and quantum physics.

Useful but hard-to-find results enrich this introduction to the analytic study of random walks on infinite graphs.

Combines cutting-edge research and expository articles in Hodge theory.

Targeted to graduate students of mathematics, this book discusses major topics like the Lie group in the study of smooth manifolds.

This introductory book offers a unique and unified overview of symplectic geometry, highlighting the differential properties of symplectic manifolds.

This book is a general introduction to Higher AlgebraicK-groups of rings and algebraic varieties, which were firstdefined by Quillen at the beginning of the 70's.

In this volume are collected notes of lectures delivered at the First In- ternational Research Institute of the Mathematical Society of Japan.

This book is built upon a basic second-year masters course given in 1991- 1992, 1992-1993 and 1993-1994 at the Universit' e Paris-Sud (Orsay).

This is the third version of a book on differential manifolds.

This volume presents the proceedings of a series of lectures hosted by the Math- ematics Department of The University of Tennessee, Knoxville, March 22-24, 1995, under the title "e;Nonlinear Partial Differential Equations in Geometry and Physics"e; .

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

Provides the first systematic study of geometry and topology of locally symmetric rank one manifolds and dynamics of discrete action of their fundamental groups.

Keine ausführliche Beschreibung für "Flächenverbiegung im Grossen" verfügbar.

This book provides an up-to-date introduction to the theory of manifolds, submanifolds, semi-Riemannian geometry and warped product geometry, and their applications in geometry and physics.

The aim of this volume is to reinforce the interaction between the three main branches (abstract, convex and computational) of the theory of polytopes.

A complete presentation of the theory of differential spaces, with applications to the study of singularities in systems with symmetry.

The fields of algebraic functions of one variable appear in several areas of mathematics: complex analysis, algebraic geometry, and number theory.

This treatment of differential geometry and the mathematics required for general relativity makes the subject of this book accessible for the first time to anyone familiar with elementary calculus in one variable and with a knowledge of some vector algebra.

This is an introductory textbook on isometry groups of the hyperbolic plane.

This handbook offers a compilation of techniques and results in K-theory.

In Commutative Algebra certain /-adic filtrations of Noetherian rings, i.

This book pedagogically describes recent developments in gauge theory, in particular four-dimensional N = 2 supersymmetric gauge theory, in relation to various fields in mathematics, including algebraic geometry, geometric representation theory, vertex operator algebras.

Lavishly illustrated and entertaining account of the surprising and useful results of the maths of folding and unfolding.

Many physical processes in fields such as mechanics, thermodynamics, electricity, magnetism or optics are described by means of partial differential equations.

This book provides a comprehensive introduction to modern global variational theory on fibred spaces.

These lecture notes provide a unique introduction to Pesin theory and its applications.

Fractals and wavelets are emerging areas of mathematics with many common factors which can be used to develop new technologies.

Traditional point of view: pinched manifolds 147 Almost flat pinching 148 Coarse point of view: compactness theorems of Gromov and Cheeger 149 K.

This monograph contains an exposition of the theory of minimal surfaces in Euclidean space, with an emphasis on complete minimal surfaces of finite total curvature.

This book expounds on the recent developments in applications of holomorphic functions in the theory of hypercomplex and anti-Hermitian manifolds as well as in the geometry of bundles.

Gauge theory, symplectic geometry and symplectic topology are important areas at the crossroads of several mathematical disciplines.

The elements of abstract algebra have almost everywhere found a place in the undergraduate courses of universities, but this has happened to some extent at the expense of courses on geometry.

From the preface:Many years have passed since the first edition.

This proceedings contains a collection of selected, peer-reviewed contributions from the 4th International Workshop "e;Differential Geometric Structures and Applications"e; held in Haifa, Israel from May 10-13, 2023.

A mathematician, like a painter or a poet, is a maker of patterns.

Now in its third decade, the Colorado Mathematical Olympiad (CMO), founded by the author, has become an annual state-wide competition, hosting many hundreds of middle and high school contestants each year.

An accessible introduction to the geometric approach to Wigner''s theorem and its role in quantum mechanics.

Appliies variational methods and critical point theory on infinite dimenstional manifolds to some problems in Lorentzian geometry which have a variational nature, such as existence and multiplicity results on geodesics and relations between such geodesics and the topology of the manifold.

Homogeneous spaces of linear algebraic groups lie at the crossroads of algebraic geometry, theory of algebraic groups, classical projective and enumerative geometry, harmonic analysis, and representation theory.