Geometry

This title focuses on two significant problems in the field of automatic control, in particular state estimation and robust Model Predictive Control under input and state constraints, bounded disturbances and measurement noises.

Computational geometry emerged as a discipline in the seventies and has had considerable success in improving the asymptotic complexity of the solutions tobasicgeometricproblemsincludingconstructionsofdatastructures,convex hulls, triangulations, Voronoi diagrams and geometric arrangements as well as geometric optimisation.

This monograph presents the current status of a rapidly developing part of several complex variables, motivated by the applicability of effective results to algebraic geometry and differential geometry.

This book is a collection of papers in memory of Gu Chaohao on the subjects of Differential Geometry, Partial Differential Equations and Mathematical Physics that Gu Chaohao made great contributions to with all his intelligence during his lifetime.

At the present time, the average undergraduate mathematics major finds mathematics heavily compartmentalized.

This book is written in a style that uncovers the mathematical theories buried in our everyday lives such as examples from patterns that appear in nature, art, and traditional crafts, and in mathematical mechanisms in techniques used by architects.

This volume focuses on the more recent results in computational geometry, such as algorithms for computer pictures of algebraic surfaces, the dimensionality paradigm and medial axis transform in geometric and solid modeling, stationary and non-stationary subdivision schemes for the generation of curves and surfaces, minimum norm networks in CAGD, knot removal and constrained knot removal for spline curves, blossoming in CAGD, triangulation methods, geometric modeling.

This book studies the interplay between the geometry and topology of locally symmetric spaces, and the arithmetic aspects of the special values of L-functions.

The first of a two-part volume, this collection offers a unifying vision of algebraic geometry, exploring its evolution over the last four decades as well as state-of-the art research.

In this book the classical Greek construction problems are explored in a didactical, enquiry based fashion using Interactive Geometry Software (IGS).

Topological Methods for Differential Equations and Inclusions covers the important topics involving topological methods in the theory of systems of differential equations.

A textbook for either a semester or year course for graduate students of mathematics who have had at least one course in topology.

Capacity is a measure of size for sets, with diverse applications in potential theory, probability and number theory.

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

A one-stop reference to fractional factorials and relatedorthogonal arrays.

This book presents progress on two open problems within the framework of algebraic geometry and commutative algebra: Grobner's problem regarding the arithmetic Cohen-Macaulayness (aCM) of projections of Veronese varieties, and the problem of determining the structure of the algebra of invariants of finite groups.

0.

Physics and mathematics students are as eager as ever to become acquainted withthefoundationsofgeneralrelativityandsomeofitsmajorapplicationsin astrophysics and cosmology.

This publication would not have been what it is without the help of many institutions and people, which I acknowledge most gratefully.

A revision of a professional text on the phenomena of chaotic vibrations in fluids and solids.

In the last five years there has been very significant progress in the development of transcendence theory.

A broad survey of the theory of rectifiability and its deep connections to numerous different areas of mathematics.

In this second edition, the main additions are a section devoted to surfaces with constant negative curvature, and an introduction to conformal geometry.

The classical geometries of points and lines include not only the projective and polar spaces, but similar truncations of geometries naturally arising from the groups of Lie type.

Topics in Arithmetical Functions

This book illustrates the broad range of Jerry Marsden's mathematical legacy in areas of geometry, mechanics, and dynamics, from very pure mathematics to very applied, but always with a geometric perspective.

This volume presents modern developments in analysis, PDEs and geometric analysis by some of the leading worldwide experts, prominent junior and senior researchers who were invited to be part of the Ghent Analysis & PDE Center Methusalem Seminars from 2021 to 2022.

This book delves into the dynamic intersection of optimization and discrete mathematics, offering a comprehensive exploration of their applications in data sciences.

The present book is devoted to a study of relative Prufer rings and Manis valuations, with an eye to application in real and p-adic geometry.

Combinatorial commutative algebra is an active area of research with thriving connections to other fields of pure and applied mathematics.

In a broad sense Design Science is the grammar of a language of images rather than of words.

Volterra Stieltjes-Integral Equations

Differential Equations and Applications

This book presents some of the most important aspects of rigid geometry, namely its applications to the study of smooth algebraic curves, of their Jacobians, and of abelian varieties - all of them defined over a complete non-archimedean valued field.

Eine verständliche, konzise und immer flüssige Einführung in die Algebra, die insbesondere durch ihre sorgfältige didaktische Aufbereitung bei vielen Studenten Freunde finden wird.

Divisor Theory in Module Categories

Intended for a one year course, this text serves as a single source, introducing readers to the important techniques and theorems, while also containing enough background on advanced topics to appeal to those students wishing to specialize in Riemannian geometry.

Dieses Buch behandelt die Geometrie des Anschauungsraums in allen ihren Aspekten.

Knot theory is a concept in algebraic topology that has found applications to a variety of mathematical problems as well as to problems in computer science, biological and medical research, and mathematical physics.

This text started out as a revised version of Buildings by the second-named author [53], but it has grown into a much more voluminous book.

This book summarizes the author's lifetime achievements, offering new perspectives and approaches in the field of metal cutting theory and its applications.

Assuming that the reader is familiar with sheaf theory, the book gives a self-contained introduction to the theory of constructible sheaves related to many kinds of singular spaces, such as cell complexes, triangulated spaces, semialgebraic and subanalytic sets, complex algebraic or analytic sets, stratified spaces, and quotient spaces.