Grundlagen

Computability of Julia Sets

Mark Braverman / Michael Yampolsky

<P>Among all computer-generated mathematical images, Julia sets of rational maps occupy one of the most prominent positions. Their beauty and complexity can be fascinating. They also hold a ...

Multiscale Finite Element Methods

Yalchin Efendiev / Thomas Y. Hou

The aim of this monograph is to describe the main concepts and recent - vances in multiscale ?nite element methods. This monograph is intended for thebroaderaudienceincludingengineers,appliedscien...

Numerical Methods in Multidimensional Radiative Transfer

Traditionally, radiative transfer has been the domain of astrophysicists and climatologists. In nuclear technology one has been dealing with the ana- gous equations of neutron transport. In recent...

Inequalities and Applications

<P>Inequalities continue to play an essential role in mathematics. Perhaps, they form the last field comprehended and used by mathematicians in all areas of the discipline. Since the seminal...

Lattices and Ordered Sets

Steven Roman

This book is intended to be a thorough introduction to the subject of order and lattices, with an emphasis on the latter. It can be used for a course at the graduate or advanced undergraduate leve...

An Introduction to Mathematical Cryptography

Jill Pipher / J.H. Silverman / Jeffrey Hoffstein

Introduction to Boolean Algebras

Steven Givant / Paul Halmos

Nonsmooth Dynamics of Contacting Thermoelastic Bodies

Jan Awrejcewicz / Yuriy Pyr'yev

<P>This work is devoted to an intensive study in contact mechanics, treating the nonsmooth dynamics of contacting bodies. Mathematical modeling is illustrated and discussed in numerous examp...

Emerging Applications of Algebraic Geometry

<P>Recent advances in both the theory and implementation of computational algebraic geometry have led to new, striking applications to a variety of fields of research. The articles in this v...

Proof Theory for Fuzzy Logics

Nicola Olivetti / Dov M. Gabbay / George Metcalfe

<P>Fuzzy logics are many-valued logics that are well suited to reasoning in the context of vagueness. They provide the basis for the wider field of Fuzzy Logic, encompassing diverse areas su...

Logicism, Intuitionism, and Formalism

Towards Mathematical Philosophy

area and in applications to linguistics, formal epistemology, and the study of norms. The second contains papers on non-classical and many-valued logics, with an eye on applications in computer sc...

Quantization and Arithmetic

André Unterberger

(12) (4) Let ? be the unique even non-trivial Dirichlet character mod 12, and let ? be the unique (odd) non-trivial Dirichlet character mod 4. Consider on the line the distributions m (12) ? d (x)...

The Geometry of Infinite-Dimensional Groups

Robert Wendt / Boris Khesin

Robust Numerical Methods for Singularly Perturbed Differential Equations

Hans-Görg Roos / Martin Stynes / Lutz Tobiska

Model Order Reduction: Theory, Research Aspects and Applications

The idea for this book originated during the workshop “Model order reduction, coupled problems and optimization” held at the Lorentz Center in Leiden from S- tember 19–23, 2005. During one o...

From Combinatorics to Dynamical Systems

<p>This volume contains nine refereed research papers in various areas from combinatorics to dynamical systems, with computer algebra as an underlying and unifying theme.</p> <p>...

Infinite Dimensional Groups and Manifolds

<p>The volume is a collection of refereed research papers on infinite dimensional groups and manifolds in mathematics and quantum physics.</p> <p>Topics covered are: new classes ...

One Hundred Years of Russell´s Paradox

<p>The papers collected in this volume represent the main body of research arising from the International Munich Centenary Conference in 2001, which commemorated the discovery of the famous ...

Automatic Sequences

von Friedrich Haeseler

<p>The aim of the <em>Expositions</em> is to present new and important developments in pure and applied mathematics. Well established in the community over more than two decades,...