Geometry

In geometry, a coordinate system is a system which uses one or more numbers, or coordinates, to uniquely determine the position of a point or other geometric element on a manifold such as Euclidean space.

"e;Symplectic Geometric Algorithms for Hamiltonian Systems"e; will be useful not only for numerical analysts, but also for those in theoretical physics, computational chemistry, celestial mechanics, etc.

This book gives an advanced overview of several topics in infinite group theory.

Das vorliegende Lehrbuch führt in alle unterrichtsrelevanten Themen der Elementargeometrie ein.

I.

This two volume work on "e;Positivity in Algebraic Geometry"e; contains a contemporary account of a body of work in complex algebraic geometry loosely centered around the theme of positivity.

The seminal text on fractal geometry for students and researchers: extensively revised and updated with new material, notes and references that reflect recent directions.

Grid technology whose achievements have significant impact on the efficiency of numerical codes still remains a rapidly advancing field of computational and applied mathematics.

A variety of introductory articles is provided on a wide range of topics, including variational problems on curves and surfaces with anisotropic curvature.

Als mehrbändiges Nachschlagewerk ist das Springer-Handbuch der Mathematik in erster Linie für wissenschaftliche Bibliotheken, akademische Institutionen und Firmen sowie interessierte Individualkunden in Forschung und Lehre gedacht.

This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathematics such as combinatorics, electrical engineering, topology, geometry, and homological algebra.

The book, based on the INdAM Workshop "e;Approximation Theory and Numerical Analysis Meet Algebra, Geometry, Topology"e; provides a bridge between different communities of mathematicians who utilize splines in their work.

This book is based upon my monograph Index Theory for Hamiltonian Systems with Applications published in 1993 in Chinese, and my notes for lectures and courses given at Nankai University, Brigham Young University, ICTP-Trieste, and the Institute of Mathematics of Academia Sinica during the last ten years.

Consisting of two parts, the first part of this volume is an essentially self-contained exposition of the geometric aspects of local and global regularity theory for the Monge-Ampere and linearized Monge-Ampere equations.

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.

This volume collects contributions from speakers at the INdAM Workshop "e;Birational Geometry and Moduli Spaces"e;, which was held in Rome on 11-15 June 2018.

This book focuses on a selection of special topics, with emphasis on past and present research of the authors on "e;canonical"e; Riemannian metrics on smooth manifolds.

This book presents important contributions to modern theories concerning the distribution theory applied to convex analysis (convex functions, functions of lower semicontinuity, the subdifferential of a convex function).

This title introduces the theory of arc schemes in algebraic geometry and singularity theory, with special emphasis on recent developments around the Nash problem for surfaces.

Investigations by Baire, Lebesgue, Hausdorff, Marczewski, and othes have culminated invarious schemes for classifying point sets.

Lecture notes and research papers on optimal transportation, its applications, and interactions with other areas of mathematics.

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

This book provides an elementary introduction, complete with detailed proofs, to the celebrated tilings of the plane discovered by Sir Roger Penrose in the '70s.

From the reviews:"e;The book.

This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) from the years 2006 to 2011 continues the long tradition of the previous volumes, which reflect the general trends of Asymptotic Geometric Analysis, understood in a broad sense, and are a source of inspiration for new research.

Prevalent in animation movies and interactive games, subdivision methods allow users to design and implement simple but efficient schemes for rendering curves and surfaces.

This book summarizes research carried out in workshops of the SAGA project, an Initial Training Network exploring the interplay of Shapes, Algebra, Geometry and Algorithms.

A systematic geometro-topological approach to vanishing cycles appearing in non-proper fibrations; contains the latest research findings.

Algebraic K-Theory has become an increasingly active area of research.

A geometry able to include mountains and clouds now exists.

The algebraic techniques developed by Kakde will almost certainly lead eventually to major progress in the study of congruences between automorphic forms and the main conjectures of non-commutative Iwasawa theory for many motives.

The term "e;stereotype space"e; was introduced in 1995 and denotes a category of locally convex spaces with surprisingly elegant properties.

The Israeli GAFA seminar (on Geometric Aspect of Functional Analysis) during the years 2002-2003 follows the long tradition of the previous volumes.

Addressing graduate students and researchers in theoretical physics and mathematics, this book presents a new formulation of the theory of gravity.

This highly regarded book is back in print and now updated to reflect recent advances in the field.

B.

Projective geometry is a very classical part of mathematics and one might think that the subject is completely explored and that there is nothing new to be added.

This book aims to provide an overview of several topics in advanced differential geometry and Lie group theory, all of them stemming from mathematical problems in supersymmetric physical theories.

Abelian varieties are a natural generalization of elliptic curves to higher dimensions, whose geometry and classification are as rich in elegant results as in the one-dimensional ease.

The aim of the book is to provide a new and fruitful approach to the challenging problems of modern physics, astrophysics, and cosmology.

Introduces fundamental concepts and computational methods of mathematics from the perspective of physicists.

Hilbert Functions play major roles in Algebraic Geometry and Commutative Algebra, and are becoming increasingly important also in Computational Algebra.

This undergraduate textbook is suitable for introductory classes in combinatorics and related topics.