Geometry

The book is a self-contained introduction to the results and methods in classical invariant theory.

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.

Clifford algebras are at a crossing point in a variety of research areas, including abstract algebra, crystallography, projective geometry, quantum mechanics, differential geometry and analysis.

This 2003 volume consists of the first two volumes of Mukai''s series on moduli theory.

This book presents the reader with a fresh and unconventional approach to teaching crystallographic symmetry.

This book is the second volume of a work on complex analytic cycles and the results, stated without proof in the first volume, are proved here.

This book is an introduction to modern methods of symplectic topology.

'The book is well-illustrated, earlier chapters with monochrome portraits of Mandelbrot, his family and those who influenced him, and later ones with striking colour pictures not only of the Mandelbrot set and other computer generated fractals, but also of areal fractals including cloud formations and rural and mountain scenes .

The study of hypersurface quadrilateral singularities can bereduced to the study of elliptic K3 surfaces with a singularfiber of type I * 0 (superscript *, subscript 0), andtherefore these notes consider, besides the topics of thetitle, such K3 surfaces too.

This book, first published in 2004, is an example based and self contained introduction to Euclidean geometry with numerous examples and exercises.

Hans Duistermaat, an influential geometer-analyst, made substantial contributions to the theory of ordinary and partial differential equations, symplectic, differential, and algebraic geometry, minimal surfaces, semisimple Lie groups, mechanics, mathematical physics, and related fields.

The goal of Geometric Algebra Applications Vol.

Translated into many languages, this book was in continuous use as the standard university-level text for a quarter-century, until it was revised and enlarged by the author in 1952.

The first modern, comprehensive introduction to central simple algebras for graduate students and researchers.

This book's area is special functions of one or several complex variables.

This unique textbook combines traditional geometry presents a contemporary approach that is grounded in real-world applications.

This work deals with the many variations of the Stoneileierstrass Theorem for vector-valued functions and some of its applications.

500 Ways to Achieve Your Best GradesWe want you to succeed on your college algebra and trigonometry midterm and final exams.

The homology of manifolds enjoys a remarkable symmetry: Poincare duality.

Largely neglected for the four centuries after his death, the fifteenth century Italian artist Piero della Francesca is now seen to embody the fullest expression of the Renaissance perspective painter, raising him to an artistic stature comparable with that of Leonardo da Vinci and Michelangelo.

The question of existence of c10sed geodesics on a Riemannian manifold and the properties of the corresponding periodic orbits in the geodesic flow has been the object of intensive investigations since the beginning of global differential geo- metry during the last century.

Abelian varieties are a natural generalization of elliptic curves to higher dimensions, whose geometry and classification are as rich in elegant results as in the one-dimensional ease.

Trigonometry: A Complete Introduction is the most comprehensive yet easy-to-use introduction to Trigonometry.

Topological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations.

The book contains the basics of tensor algebra as well as a comprehensive description of tensor calculus, both in Cartesian and curvilinear coordinates.

"e;Star Origami is a festival of folding fun that is sure to inspire.

Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense.

Finite Geometries stands out from recent textbooks about the subject of finite geometries by having a broader scope.

Originating from the School on Birational Geometry of Hypersurfaces, this volume focuses on the notion of (stable) rationality of projective varieties and, more specifically, hypersurfaces in projective spaces, and provides a large number of open questions, techniques and spectacular results.

Legal decisions continue to mystify: why was this person sentenced to 20 years in prison, but that person to just 10 years for the same crime?

Algebra & Geometry: An Introduction to University Mathematics provides a bridge between high school and undergraduate mathematics courses on algebra and geometry.

This book is a new edition of "e;Tensors and Manifolds: With Applications to Mechanics and Relativity"e; which was published in 1992.

The modern subject of differential forms subsumes classical vector calculus.

1.

This English edition could serve as a text for a first year graduate course on differential geometry, as did for a long time the Chicago Notes of Chern mentioned in the Preface to the German Edition.

This is the most comprehensive survey of the mathematical life of the legendary Paul Erdos (1913-1996), one of the most versatile and prolific mathematicians of our time.

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

This book provides a rigorous and self-contained review of desingularization theory.

Metric theory has undergone a dramatic phase transition in the last decades when its focus moved from the foundations of real analysis to Riemannian geometry and algebraic topology, to the theory of infinite groups and probability theory.

This book contains a clear exposition of two contemporary topics in modern differential geometry: distance geometric analysis on manifolds, in particular, comparison theory for distance functions in spaces which have well defined bounds on their curvature the study of scalar curvature rigidity and positive mass theorems using spinors and the Dirac operator It is intended for both graduate students and researchers.

This book provides advanced undergraduate physics and mathematics students with an accessible yet detailed understanding of the fundamentals of differential geometry and symmetries in classical physics.

An elementary introduction to homology theory suitable for undergraduate courses or for self-study.

Within traditional decision theory, common decision principles -- e.

This self-contained text presents state-of-the-art results on recurrent sequences and their applications in algebra, number theory, geometry of the complex plane and discrete mathematics.