Algebraic geometry

There are three new appendices, one by Stefan Theisen on the role of Calabi- Yau manifolds in string theory and one by Otto Forster on the use of elliptic curves in computing theory and coding theory.

Applied Mathematics and Mechanics, Volume 5: Boundary Value Problems: For Second Order Elliptic Equations is a revised and augmented version of a lecture course on non-Fredholm elliptic boundary value problems, delivered at the Novosibirsk State University in the academic year 1964-1965.

This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces.

Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry.

(revised) This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra.

This book is written for theoretical and mathematical physicists and mat- maticians interested in recent developments in complex general relativity and their application to classical and quantum gravity.

In this modern treatment of the topic, Rolland Trapp presents an accessible introduction to the topic of multivariable calculus, supplemented by the use of fully interactive three-dimensional graphics throughout the text.

This book presents a new and innovative approach to Lie groups and differential geometry.

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

Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997.

Nigel Hitchin is one of the world's foremost figures in the fields of differential and algebraic geometry and their relations with mathematical physics, and he has been Savilian Professor of Geometry at Oxford since 1997.

This textbook is designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors.

This unique and comprehensive volume provides an up-to-date account of the literature on the subject of determining the structure of rings over which cyclic modules or proper cyclic modules have a finiteness condition or a homological property.

This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves.

The theory of Riemann surfaces occupies a very special place in mathematics.

This edited collection of chapters, authored by leading experts, provides a complete and essentially self-contained construction of 3-fold and 4-fold klt flips.

The International Mathematical Olympiad (IMO) is the World Championship Mathematics Competition for High School students and is held annually in a different country.

Professor Atiyah is one of the greatest living mathematicians and is renowned in the mathematical world.

This comprehensive reference begins with a review of the basics followed by a presentation of flag varieties and finite- and infinite-dimensional representations in classical types and subvarieties of flag varieties and their singularities.

Over the course of his distinguished career, Nicolai Reshetikhin has made a number of groundbreaking contributions in several fields, including representation theory, integrable systems, and topology.

This edited volume presents a fascinating collection of lecture notes focusing on differential equations from two viewpoints: formal calculus (through the theory of Grobner bases) and geometry (via quiver theory).

This text presents a graduate-level introduction to differential geometry for mathematics and physics students.

This book casts the theory of periods of algebraic varieties in the natural setting of Madhav Nori's abelian category of mixed motives.

This proceedings volume presents selected, peer-reviewed contributions from the 26th National School on Algebra, which was held in Constanta, Romania, on August 26-September 1, 2018.

This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces.

Trends in the Theory and Practice of Non-Linear Analysis

Introduction to Banach Spaces and their Geometry

Biomathematics in 1980

Real Elliptic Curves

Real Variable Methods in Fourier Analysis

Topics in Arithmetical Functions

Cohomology of Completions

An Introduction to the Mathematical Theory of Geophysical Fluid Dynamics

Holomorphic Maps and Invariant Distances

Introduction to Algebraic Geometry and Algebraic Groups

Bifurcation of Maps and Applications

Developing Mathematics in Third World Countries

Differential Equations and Applications

Saks Spaces and Applications to Functional Analysis

Functional Analysis: Surveys and Recent Results

Bornologies and Functional Analysis

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

This book discusses general topological algebras; space C(T,F) of continuous functions mapping T into F as an algebra only (with pointwise operations); and C(T,F) endowed with compact-open topology as a topological algebra C(T,F,c).

Near-rings: The Theory and its Applications

Hopf Spaces

New Developments in Differential Equations

Vector Measures and Control Systems

Intensional and Higher-Order Modal Logic

Global Theory of a Second Order Linear Ordinary Differential Equation with a Polynomial Coefficient

Hewitt-Nachbin Spaces