Mathematics Books › Algebraic+geometry

This volume brings together recent original research and survey articles by le... This volume brings together recent original research and survey articles by leading experts in several fields that include singularity theory algebraic geometry and commutative algebra. The motivation for this collection comes from the wide-ranging... more

An accessible motivated introduction to one of the most dynamic areas of mathe... An accessible motivated introduction to one of the most dynamic areas of mathematics Decades ago Mumford wrote that algebraic geometry seems to have acquired the reputation of being esoteric exclusive and very abstract with adherents who are... more

An accessible motivated introduction to one of the most dynamic areas of mathe... An accessible motivated introduction to one of the most dynamic areas of mathematics Decades ago Mumford wrote that algebraic geometry seems to have acquired the reputation of being esoteric exclusive and very abstract with adherents who are... more

Beginning in Algebraic Geometry Beginning in Algebraic Geometry more

Through this book upper undergraduate mathematics majors will master a challen... Through this book upper undergraduate mathematics majors will master a challenging yet rewarding subject and approach advanced studies in algebra number theory and geometry with confidence. Groups rings and fields are covered in depth with a strong... more

Convex bodies are at once simple and amazingly rich in structure. While the cl... Convex bodies are at once simple and amazingly rich in structure. While the classical results go back many decades during the past ten years the integral geometry of convex bodies has undergone a dramatic revitalization brought about by the... more

This volume comprises both research and survey articles originating from the c... This volume comprises both research and survey articles originating from the conference on Arithmetic and Geometry around Quantization held in Istanbul in 2006. A wide range of topics related to quantization are covered thus aiming to give a glimpse... more

ThesubjectofthisbookisSemi-In?niteAlgebra ormorespeci?cally Semi-In?nite Homol... ThesubjectofthisbookisSemi-In?niteAlgebra ormorespeci?cally Semi-In?nite Homological Algebra. The term semi-in?nite is loosely associated with objects that can be viewed as extending in both a positive and a negative direction... more

Singular Algebraic Curves: With an Appendix by Oleg Viro Singular Algebraic Curves: With an Appendix by Oleg Viro more

An Unabridged Printing To Include Updated Typeface - Chapters: The Five Groups... An Unabridged Printing To Include Updated Typeface - Chapters: The Five Groups Of Axioms - The Compatibility And Mutual Independence Of The Axioms - The Theory Of Proportion - The Theory Of Plane Areas - Desargue s Theorem - Pascal s Theorem -... more

Sub-Riemannian geometry is the geometry of a world with nonholonomic constrain... Sub-Riemannian geometry is the geometry of a world with nonholonomic constraints. In such a world one can move send and receive information only in certain admissible directions but eventually can reach every position from any other. In the last two... more

An Introduction to Homological Algebra discusses the origins of algebraic topo... An Introduction to Homological Algebra discusses the origins of algebraic topology. It also presents the study of homological algebra as a two-stage affair. First one must learn the language of Ext and Tor and what it describes. Second one must be... more

A gentle introduction to the highly sophisticated world of discrete mathematic... A gentle introduction to the highly sophisticated world of discrete mathematics Mathematical Problems and Proofs presents topics ranging from elementary definitions and theorems to advanced topics -- such as cardinal numbers generating functions... more

This book gives a self-contained introduction to the theory of lambda-rings an... This book gives a self-contained introduction to the theory of lambda-rings and closely related topics including Witt vectors integer-valued polynomials and binomial rings. Many of the purely algebraic results about lambda-rings presented in this... more

P. Dolbeault: Résidus et courants.- D. Mumford: Varieties defined by quadrati... P. Dolbeault: Résidus et courants.- D. Mumford: Varieties defined by quadratic equations.- A. Néron: Hauteurs et théorie des intersections.- A. Seidenberg: Report on analytic product.- C.S. Seshadri: Moduli of p-vector bundles over an algebraic... more

1. Preliminaries Notation and Terminology n n 1.1. Sets and functions in lR. -... 1. Preliminaries Notation and Terminology n n 1.1. Sets and functions in lR. - Throughout the book lR. stands for the n-dimensional arithmetic space of points x = (X} X2 xn)j Ixl is the length of n n a vector x E lR. and (x y) is the scalar product... more

Finsler geometry is the most natural generalization of Riemannian geo- metry. ... Finsler geometry is the most natural generalization of Riemannian geo- metry. It started in 1918 when P. Finsler [1] wrote his thesis on curves and surfaces in what he called generalized metric spaces. Studying the geometry of those spaces (which... more

Since the foundational work of Lagrange on the differential equation to be sat... Since the foundational work of Lagrange on the differential equation to be satisfied by a minimal surface of the Euclidean space the theory of minimal submanifolds have undergone considerable developments involving techniques from related areas such... more

This volume is intended to allow mathematicians and physicists especially anal... This volume is intended to allow mathematicians and physicists especially analysts to learn about nonlinear problems which arise in Riemannian Geometry. Analysis on Riemannian manifolds is a field currently undergoing great development. More and... more

Spencer Bloch s 1979 Duke lectures a milestone in modern mathematics have been... Spencer Bloch s 1979 Duke lectures a milestone in modern mathematics have been out of print almost since their first publication in 1980 yet they have remained influential and are still the best place to learn the guiding philosophy of algebraic... more