Algebraic geometry

The textbook provides both beginner and experienced CAD users with the math behind the CAD.

In most undergraduate physics classes Special Relativity is taught from a simplistic point of view using Newtonian concepts rather than the relativistic way of thinking.

This is the first book that focuses on practical algorithms for polynomial inequality proving and discovering.

This monograph is an account of the author's investigations of gradient vector flows on compact manifolds with boundary.

Based on lectures held at the 8th edition of the series of summer schools in Villa de Leyva since 1999, this book presents an introduction to topics of current interest at the interface of geometry, algebra, analysis, topology and theoretical physics.

Etale cohomology is an important branch in arithmetic geometry.

This book provides a systematic treatment of algebraic and topological properties of convex sets (possibly non-closed or unbounded) in the n-dimensional Euclidean space.

This book provides comprehensive analysis of dynamical systems in tropical geometry, which include the author's significant discoveries and pioneering contributions.

Elementary particles in this book exist as Solitons in-and-of the fabric of spacetime itself.

This book is aimed at graduate students and researchers in physics and mathematics who seek to understand the basics of supersymmetry from a mathematical point of view.

This volume presents the theory of partial differential equations (PDEs) from a modern geometric point of view so that PDEs can be characterized by using either technique of differential geometry or algebraic geometry.

The present monograph is a state-of-art survey of the geometry of matrices whose study was initiated by L K Hua in the forties.

This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms.

The Wei-Liang Chow and Kuo-Tsai Chen Memorial Conference was proposed and held by Prof S S Chern in Nankai Institute of Mathematics.

This book constitutes the proceedings of the 2000 Howard conference on "e;Infinite Dimensional Lie Groups in Geometry and Representation Theory"e;.

This invaluable book contains the collected papers of Prof Wei-Liang Chow, an original and versatile mathematician of the 20th Century.

This book is the proceedings of the conference "e;Algebraic Geometry in East Asia"e; which was held in International Institute for Advanced Studies (IIAS) during August 3 to August 10, 2001.

Algebraic & geometry methods have constituted a basic background and tool for people working on classic block coding theory and cryptography.

The development of new computational techniques and better computing power has made it possible to attack some classical problems of algebraic geometry.

Noncommutative differential geometry is a novel approach to geometry that is paving the way for exciting new directions in the development of mathematics and physics.

This is the first existing volume that collects lectures on this important and fast developing subject in mathematics.

The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics - among them, Grassmann-Cayley algebra and Geometric Algebra.

Noncommutative geometry is a novel approach which is opening up new possibilities for geometry from a mathematical viewpoint.

The modern theory of singularities provides a unifying theme that runs through fields of mathematics as diverse as homological algebra and Hamiltonian systems.

This volume covers many topics, including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields.

Advances in Algebraic Geometry Codes presents the most successful applications of algebraic geometry to the field of error-correcting codes, which are used in the industry when one sends information through a noisy channel.

The theory of connections is central not only in pure mathematics (differential and algebraic geometry), but also in mathematical and theoretical physics (general relativity, gauge fields, mechanics of continuum media).

New Edition available hereEtale cohomology is an important branch in arithmetic geometry.

This is a monograph about non-commutative algebraic geometry, and its application to physics.

Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics.

This monograph strives to introduce a solid foundation on the usage of Grobner bases in ring theory by focusing on noncommutative associative algebras defined by relations over a field K.

This volume consists of research papers and expository survey articles presented by the invited speakers of the conference on "e;Harmony of Grobner Bases and the Modern Industrial Society"e;.

The present volume grew out of an international conference on affine algebraic geometry held in Osaka, Japan during 3-6 March 2011 and is dedicated to Professor Masayoshi Miyanishi on the occasion of his 70th birthday.

This book serves as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors.

This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms.

This book, the third book in the four-volume series in algebra, deals with important topics in homological algebra, including abstract theory of derived functors, sheaf co-homology, and an introduction to etale and l-adic co-homology.

This book provides a systematic account of several breakthroughs in the modern theory of zeta functions.

Recent developments in various algebraic structures and the applications of those in different areas play an important role in Science and Technology.

Harmonic mappings have played in recent years and will likely to play in the future an important role in Differential Geometry and Theoretical Physics, where they are known as s-models.

This book is a collection of the lectures and talks presented in the Tohoku Forum for Creativity in the thematic year 2015 'Fundamental Problems in Quantum Physics: Strings, Black Holes and Quantum Information', and related events in the period 2014-2016.

This is a graduate-level text on algebraic geometry that provides a quick and fully self-contained development of the fundamentals, including all commutative algebra which is used.

This textbook presents various automatic techniques based on Grobner bases elimination to prove well-known geometrical theorems and formulas.

This introductory textbook for a graduate course in pure mathematics provides a gateway into the two difficult fields of algebraic geometry and commutative algebra.

This book consists of five chapters presenting problems of current research in mathematics, with its history and development, current state, and possible future direction.

This book is an exposition of recent progress on the Donaldson-Thomas (DT) theory.

This book contains selected chapters on perfectoid spaces, their introduction and applications, as invented by Peter Scholze in his Fields Medal winning work.

This volume presents a collection of results related to the BSD conjecture, based on the first two India-China conferences on this topic.

This book discusses the importance of flag varieties in geometric objects and elucidates its richness as interplay of geometry, combinatorics and representation theory.

This book includes 58 selected articles that highlight the major contributions of Professor Radha Charan Gupta-a doyen of history of mathematics-written on a variety of important topics pertaining to mathematics and astronomy in India.

Algebraic Topology is a system and strategy of partial translations, aiming to reduce difficult topological problems to algebraic facts that can be more easily solved.