Geometry

These lecture notes are dedicated to the mathematical modelling, analysis and computation of interfaces and free boundary problems appearing in geometry and in various applications, ranging from crystal growth, tumour growth, biological membranes to porous media, two-phase flows, fluid-structure interactions, and shape optimization.

This book provides an introduction to various aspects of Algebraic Statistics with the principal aim of supporting Master's and PhD students who wish to explore the algebraic point of view regarding recent developments in Statistics.

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind.

The volume contains the texts of the main talks delivered at the International Symposium on Complex Geometry and Analysis held in Pisa, May 23-27, 1988.

The goal of this book is to provide an introduction to algebraic geometry accessible to students.

This is a study of algebraic differential modules in several variables, and of some of their relations with analytic differential modules.

This 1987 volume presents a collection of papers given at the 1985 Durham Symposium on homotopy theory.

Explains both the how and the why of linear algebra to get students thinking like mathematicians.

As an interesting object of arithmetic, algebraic and analytic geometry the complex ball was born in a paper of the French Mathematician E.

The topic of this book is the theory of degenerations of abelian varieties and its application to the construction of compactifications of moduli spaces of abelian varieties.

This volume has been divided into two parts: Geometry and Applications.

In the first two chapters we review the theory developped by Cartan, Whitney and Tognoli.

The common solutions of a finite number of polynomial equations in a finite number of variables constitute an algebraic variety.

Introd uction The problem of integrability or nonintegrability of dynamical systems is one of the central problems of mathematics and mechanics.

This is a collection of articles, many written by people who worked with Mandelbrot, memorializing the remarkable breadth and depth of his work in science and the arts.

This volume constitutes the proceedings of a workshop whose main purpose was to exchange information on current topics in complex analysis, differential geometry, mathematical physics and applications, and to group aspects of new mathematics.

Geometric measure theory has roots going back to ancient Greek mathematics, for considerations of the isoperimetric problem (to ?

This detailed yet accessible text introduces the advanced mathematical methods at the core of theoretical physics.

The three-volume set, consisting of LNCS 9008, 9009, and 9010, contains carefully reviewed and selected papers presented at 15 workshops held in conjunction with the 12th Asian Conference on Computer Vision, ACCV 2014, in Singapore, in November 2014.

In diesem Lehrbuch stellen die Autoren einen axiomatischen Zugang zur ebenen Geometrie dar, der im Vergleich zu den Hilbertaxiomen und anderen oft gewählten Zugängen strukturelle und didaktische Vorteile bietet.

The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings.

The first comprehensive introduction to the powerful moment approach for solving global optimization problems.

Detailed account of analysis on Polish spaces with a straightforward introduction to optimal transportation.

From the reviews: This book is devoted to the study of sheaves by microlocal methods.

This book provides a comprehensive introduction to Soergel bimodules.

Since quasi-uniform spaces were defined in 1948, a diverse and widely dispersed literatureconcerning them has emerged.

The aim of this volume is to reinforce the interaction between the three main branches (abstract, convex and computational) of the theory of polytopes.

Since the publication of this book's bestselling predecessor, Mathematica(R) has matured considerably and the computing power of desktop computers has increased greatly.

This book gives a fairly elementary introduction to the local theory of differentiable mappings and is suitable as a text for courses to graduates and advanced undergraduates.

This textbook offers graduate students a concise introduction to the classic notions of convex optimization.

This book emphasizes the importance of consistent, well-planned, and computer-oriented engineering documentation systems to engineering, manufacturing, and accounting.

This volume presents an accessible, self-contained survey of topics in Euclidean and non-Euclidean geometry.

Bibliotheca Mathematica: A Series of Monographs on Pure and Applied Mathematics, Volume V: Axiomatic Projective Geometry, Second Edition focuses on the principles, operations, and theorems in axiomatic projective geometry, including set theory, incidence propositions, collineations, axioms, and coordinates.

The chapters in this volume explore the influence of the Russian school on the development of algebraic geometry and representation theory, particularly the pioneering work of two of its illustrious members, Alexander Beilinson and Victor Ginzburg, in celebration of their 60th birthdays.

Developed from the author's popular graduate-level course, Computational Number Theory presents a complete treatment of number-theoretic algorithms.

Intuitively, a foliation corresponds to a decomposition of a manifold into a union of connected, disjoint submanifolds of the same dimension, called leaves, which pile up locally like pages of a book.

"e;A complete introduction to the geometric code of nature, written and illustrated by the most perceptive of its modern investigators.

The algorithmic problems of real algebraic geometry such as real root counting, deciding the existence of solutions of systems of polynomial equations and inequalities, finding global maxima or deciding whether two points belong in the same connected component of a semi-algebraic set appear frequently in many areas of science and engineering.

In mathematics, solid geometry was the traditional name for the geometry of three-dimensional Euclidean space for practical purposes the kind of space we live in.

This book focuses on the study of the volume of vector fields on Riemannian manifolds.

Origami5 continues in the excellent tradition of its four previous incarnations, documenting work presented at an extraordinary series of meetings that explored the connections between origami, mathematics, science, technology, education, and other academic fields.

Differential geometry is a mathematical discipline that uses the techniques of differential calculus and integral calculus, as well as linear algebra and multilinear algebra, to study problems in geometry.

A central problem in differential geometry is to relate algebraic properties of the Riemann curvature tensor to the underlying geometry of the manifold.