Algebraic geometry

The study of geometry can play an important role in stimulating mathematical imagination and intuition, particularly in its relation to algebra.

The 100+ Series, Geometry, offers in-depth practice and review for challenging middle school math topics such as rotations, reflections, and transformations; congruence and similarity; and sine and cosine functions.

Computational Geometry is a new discipline of computer science that deals with the design and analysis of algorithms for solving geometric problems.

The goal of Geometric Algebra Applications Vol.

The goal of Geometric Algebra Applications Vol.

Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata presents a collection of papers on algebraic geometry and commutative algebra in honor of Masayoshi Nagata for his significant contributions to commutative algebra.

In recent years, the discovery of new algorithms for dealing with polynomial equations, coupled with their implementation on fast inexpensive computers, has sparked a minor revolution in the study and practice of algebraic geometry.

Elementary number theory is concerned with the arithmetic properties of the ring of integers, Z, and its field of fractions, the rational numbers, Q.

Topology is a relatively young and very important branch of mathematics.

The purpose of this book is to give a comprehensible account of what is called Mori's Program.

Higher-Dimensional Algebraic Geometry studies the classification theory of algebraic varieties.

In recent years there has been enormous activity in the theory of algebraic curves.

The aim of this book is to describe the underlying principles of algebraic geometry, some of its important developments in the twentieth century, and some of the problems that occupy its practitioners today.

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In 1961 the second author deliv1lred a series of lectures at Haverford Col- lege on the subject of "e;Rational Points on Cubic Curves.

Lie Sphere Geometry provides a modern treatment of Lie's geometry of spheres, its recent applications and the study of Euclidean space.

This book is an exposition of the theoretical foundations of hyperbolic manifolds.

Robin Hartshorne studied algebraic geometry with Oscar Zariski and David Mumford at Harvard, and with J.

The aim of this book is to present certain fundamental facts in the theory of algebraic surfaces, defined over an algebraically closed field lk of arbitrary characteristic.

Commutative Ring Theory emerged as a distinct field of research in math- ematics only at the beginning of the twentieth century.

Algebraic curves are the graphs of polynomial equations in two vari- 3 ables, such as y3 + 5xy2 = x + 2xy.

This book is based on one-semester courses given at Harvard in 1984, at Brown in 1985, and at Harvard in 1988.

We wrote this book to introduce undergraduates to some interesting ideas in algebraic geometry and commutative algebra.

The main aim of this book is to introduce Lie groups and allied algebraic and geometric concepts to a robotics audience.

The present volume is the culmination often years' work separately and joint- ly.

In the early years of the 1980s, while I was visiting the Institute for Ad- vanced Study (lAS) at Princeton as a postdoctoral member, I got a fascinating view, studying congruence modulo a prime among elliptic modular forms, that an automorphic L-function of a given algebraic group G should have a canon- ical p-adic counterpart of several variables.

This textbook on homology and cohomology theory is geared towards the beginning graduate student.

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

This volume contains the original lecture notes presented by A.

This is a book of "e;impressions"e; of a journey through the theory of com- plex algebraic curves.

These notes are an expanded and updated version of a course of lectures which I gave at King's College London during the summer term 1979.

This textbook covers the basic properties of elliptic curves and modular forms, with emphasis on certain connections with number theory.

This is a self-contained introduction to algebraic curves over finite fields and geometric Goppa codes.

Introduction to Global Optimization Exploiting Space-Filling Curves provides an overview of classical and new results pertaining to the usage of space-filling curves in global optimization.

"e;Problem-Solving and Selected Topics in Euclidean Geometry: in the Spirit of the Mathematical Olympiads"e; contains theorems which are of particular value for the solution of geometrical problems.

In recent years, research in K3 surfaces and Calabi-Yau varieties has seen spectacular progress from both arithmetic and geometric points of view, which in turn continues to have a huge influence and impact in theoretical physics-in particular, in string theory.

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This book contains a detailed account of the result of the author's recent Annals paper and JAMS paper on arithmetic invariant, including ?

Originally published in 1985, this classic textbook is an English translation of Einfuhrung in die kommutative Algebra und algebraische Geometrie.

This contributed volume brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra.

This book gives an elementary treatment of the basic material about graph spectra, both for ordinary, and Laplace and Seidel spectra.

This is a relatively fast paced graduate level introduction to complex algebraic geometry, from the basics to the frontier of the subject.

This is the Proceedings of the ICM 2010 Satellite Conference on "e;Buildings, Finite Geometries and Groups"e; organized at the Indian Statistical Institute, Bangalore, during August 29 - 31, 2010.

In the Fall of 1975 we started a joint project with the ultimate goal of topo- logically classifying real algebraic sets.

A recent paper on subfactors of von Neumann factors has stimulated much research in von Neumann algebras.

Regenerative gas turbines are attractive alternatives to diesel engines and spark- ignition engines for automobiles and to diesel engines and combined-cycle en- gines for power generation.