Grundlagen

Set Theory

Progress in Galois Theory

The legacy of Galois was the beginning of Galois theory as well as group theory. From this common origin, the development of group theory took its own course, which led to great advances in the la...

Symplectic Geometry and Quantum Mechanics

Maurice A. de Gosson

<P>This book offers a complete discussion of techniques and topics intervening in the mathematical treatment of quantum and semi-classical mechanics. It starts with a very readable introduct...

Mathematical Problems from Applied Logic I

<P>This is an overview of the current state of knowledge along with open problems and perspectives, clarified in such fields as non-standard inferences in description logics, logic of provab...

The Fourfold Way in Real Analysis

André Unterberger

Advances in Multiresolution for Geometric Modelling

<P>Multiresolution methods in geometric modelling are concerned with the generation, representation, and manipulation of geometric objects at several levels of detail. Applications include f...

Ideals and Reality

Friedrich Ischebeck / Ravi A. Rao

Besides giving an introduction to Commutative Algebra - the theory of c- mutative rings - this book is devoted to the study of projective modules and the minimal number of generators of modules an...

Integral Closure

Wolmer Vasconcelos

<P>This book gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. It gives a comprehensive treatment of Rees algebras and multiplicit...

Multiplicative Invariant Theory

Martin Lorenz

<P>Multiplicative invariant theory, as a research area in its own right within the wider spectrum of invariant theory, is of relatively recent vintage. The present text offers a coherent acc...

Lie Algebras and Algebraic Groups

Patrice Tauvel / Rupert W. T. Yu

Devoted to the theory of Lie algebras and algebraic groups, this book includes a large amount of commutative algebra and algebraic geometry so as to make it as self-contained as possible. The aim ...

Linear Algebraic Monoids

Lex E. Renner

<P>This solid volume discusses all the key topics in detail, including classification, orbit structure, representations, universal constructions, and abstract analogues. Open problems are di...

Topics in Cohomological Studies of Algebraic Varieties

<P>The articles in this volume study various cohomological aspects of algebraic varieties:<BR>- characteristic classes of singular varieties;<BR>- geometry of flag varieties;<...

Basic Notions of Algebra

Igor R. Shafarevich

Wholeheartedly recommended to every student and user of mathematics, this is an extremely original and highly informative essay on algebra and its place in modern mathematics and science. From the...

Symbolic Integration I

Manuel Bronstein

First edition received rave reviewsThe second edition offers a new chapter on parallel integration Includes additional exercises 

Multiscale Modeling in Epitaxial Growth

<P>Epitaxy is relevant for thin film growth and is a very active area of theoretical research since several years. Recently powerful numerical techniques have been used to link atomistic eff...

Perturbation Methods and Semilinear Elliptic Problems on R^n

Antonio Ambrosetti / Andrea Malchiodi

Several important problems arising in Physics, Di?erential Geometry and other n topics lead to consider semilinear variational elliptic equations on R and a great deal of work has been devoted to ...

A Modern Perspective on Type Theory

F.D. Kamareddine / T. Laan / Rob Nederpelt

<p>This book provides an overview of type theory. The first part of the book is historical, yet at the same time, places historical systems in the modern setting. The second part deals with ...

Numerical Solution of Partial Differential Equations on Parallel Computers

Since the dawn of computing, the quest for a better understanding of Nature has been a driving force for technological development. Groundbreaking achievements by great scientists have paved the w...

Computational Methods in Transport

Thereexistawiderangeofapplicationswhereasigni?cantfractionofthe- mentum and energy present in a physical problem is carried by the transport of particles. Depending on the speci?capplication, the ...

Automatic Differentiation: Applications, Theory, and Implementations