Geometry

Algebraical and Topological Foundations of Geometry contains the proceedings of the Colloquium on Algebraic and Topological Foundations of Geometry, held in Utrecht, the Netherlands in August 1959.

Possibly the most comprehensive overview of computer graphics as seen in the context of geometric modelling, this two volume work covers implementation and theory in a thorough and systematic fashion.

This proceedings consists of papers presented at the international meeting of Differential Geometry and Computer Vision held in Norway and of international meetings on Pure and Applied Differential Geometry held in Belgium.

This a comprehensive modern account of the theory of Lie groupoids and Lie algebroids, and their importance in differential geometry.

Recent developments show that probability methods have become a very powerful tool in such different areas as statistical physics, dynamical systems, Riemannian geometry, group theory, harmonic analysis, graph theory and computer science.

This is the first book on analytic hyperbolic geometry, fully analogous to analytic Euclidean geometry.

The 12 lectures presented in Representation Theories and Algebraic Geometry focus on the very rich and powerful interplay between algebraic geometry and the representation theories of various modern mathematical structures, such as reductive groups, quantum groups, Hecke algebras, restricted Lie algebras, and their companions.

A unique and effective way to learn Geometry-updated with the latest instruction and reviewMust Know High School Geometry provides a fresh approach to learning.

The first edition of this book presented the theory of linear algebraic groups over an algebraically closed field.

This book includes four courses on geometric measure theory, the calculus of variations, partial differential equations, and differential geometry.

Harmonic maps between Riemannian manifolds are solutions of systems of nonlinear partial differential equations which appear in different contexts of differential geometry.

This book examines the geometrical notion of orthogonality, and shows how to use it as the primitive concept on which to base a metric structure in affine geometry.

Ever since the analogy between number fields and function fields was discovered, it has been a source of inspiration for new ideas, and a long history has not in any way detracted from the appeal of the subject.

Nonabelian multiplicative integration on curves is a classical theory.

By discussing topics such as shape representations, relaxation theory and optimal transport, trends and synergies of mathematical tools required for optimization of geometry and topology of shapes are explored.

One service mathematics has rendered the human race.

This textbook on Feynman integrals starts from the basics, requiring only knowledge of special relativity and undergraduate mathematics.

This volume is a result of a meeting which took place in June 1986 at 'll Ciocco"e; in Italy entitled 'Deformation theory of algebras and structures and applications'.

Complex numbers can be viewed in several ways: as an element in a field, as a point in the plane, and as a two-dimensional vector.

In his "e;Geometrie"e; of 1637 Descartes achieved a monumental innovation of mathematical techniques by introducing what is now called analytic geometry.

Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics.

Twistor theory is the remarkable mathematical framework that was discovered by Roger Penrose in the course of research into gravitation and quantum theory.

Dieses prägnante und praxisorientierte Lehrbuch präsentiert die Grundlagen der Mathematik auf glatten Mannigfaltigkeiten.

This volume comprises eight papers delivered at the RIMS International Conference "e;Mathematical Challenges in a New Phase of Materials Science"e;, Kyoto, August 4-8, 2014.

This book provides a comprehensive introduction to modern global variational theory on fibred spaces.

This book discusses discrete geometric analysis, especially topological crystallography and discrete surface theory for trivalent discrete surfaces.

This book delves into the p-adic Simpson correspondence, its construction, and development.

Customarily, the framework of algebraic geometry has been worked over an algebraically closed field of characteristic zero, say, over the complex number field.

Classical valuation theory has applications in number theory and class field theory as well as in algebraic geometry, e.

This is a book aimed at researchers and advanced graduate students in algebraic geometry, interested in learning about a promising direction of research in algebraic geometry.

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.

Ten high-quality survey articles provide an overview of important recent developments in the mathematics surrounding negative curvature.

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.

Astronomy as well as molecular physics describe non-relativistic motion by an interaction of the same form: By Newton's respectively by Coulomb's potential.

Tough Test Questions?

This book surveys progress in the domains described in Grothendieck''s seminal manuscript ''Esquisse d''un Programme''.

The first edition of this book presented simple proofs of the Atiyah-Singer Index Theorem for Dirac operators on compact Riemannian manifolds and its generalizations (due to the authors and J.

An overview of different theories of motivic integration and their applications.

Since the year 2000, we have witnessed several outstanding results in geometry that have solved long-standing problems such as the Poincare conjecture, the Yau-Tian-Donaldson conjecture, and the Willmore conjecture.

This contributed volume is a follow-up to the 2013 volume of the same title, published in honor of noted Algebraist David Eisenbud's 65th birthday.

A classic treatment of transcendental algebraic geometry from the acclaimed Annals of Mathematics Studies seriesPrinceton University Press is proud to have published the Annals of Mathematics Studies since 1940.

Die Aufgabensammlung und die vorgestellten Lösungsstrategien bieten umfangreiches Material zur individualisierten Förderung innerhalb einer Klasse bzw.