Grundlagen

Knots

Heiner Zieschang / Gerhard Burde

<p>The series is devoted to the publication of monographs and high-level textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current...

The Determinacy of Long Games

Itay Neeman

Einführung in die Kombinatorik

Dieter Jungnickel

<p>Ziel dieser vollständig überarbeiteten und erweiterten Neuauflage ist es, eine weitgehend elementare Einführung in ausgewählte Teile der Kombinatorik zu geben. Dabei wird stets versuc...

Lifting Modules

Robert Wisbauer / John Clark / Christian Lomp / N. Vanaja

<P>Extending modules are generalizations of injective modules and, dually, lifting modules generalize projective supplemented modules. This duality exhibits a certain asymmetry. While the th...

Institution-independent Model Theory

Razvan Diaconescu

<P>This book develops model theory independently of any concrete logical system or structure, within the abstract category-theoretic framework of the so called ‘institution theory’. The ...

Diophantine Approximation

<P>This volume contains 21 research and survey papers on recent developments in the field of diophantine approximation, which are based on lectures given at a conference at the Erwin Schröd...

Braid Groups

Vladimir Turaev / Christian Kassel

In this well-written presentation, motivated by numerous examples and problems, the authors introduce the basic theory of braid groups, highlighting several definitions that show their equivalence...

Convergence and Applications of Newton-type Iterations

Ioannis K. Argyros

<P>This monograph is devoted to a comprehensive treatment of iterative methods for solving nonlinear equations with particular emphasis on semi-local convergence analysis. Theoretical result...

Completeness Theory for Propositional Logics

Witold A. Pogorzelski / Piotr Wojtylak

<P>This book develops the theory of one of the most important notions in the methodology of formal systems. Particularly, completeness plays an important role in propositional logic where ma...

Applied Proof Theory: Proof Interpretations and their Use in Mathematics

Ulrich Kohlenbach

<P>This is the first treatment in book format of proof-theoretic transformations - known as proof interpretations - that focuses on applications to ordinary mathematics. It covers both the n...

L'isomorphisme entre les tours de Lubin-Tate et de Drinfeld

Laurent Fargues / Alain Genestier / Vincent Lafforgue

<P>Ce livre contient une démonstration détaillée et complète de l'existence d'un isomorphisme équivariant entre les tours p-adiques de Lubin-Tate et de Drinfeld. Le résultat es...

Field Arithmetic

Michael D. Fried / Moshe Jarden

<P>Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and...

Algebraic Cycles, Sheaves, Shtukas, and Moduli

<P>Articles examine the contributions of the great mathematician J. M. Hoene-Wronski. Although much of his work was dismissed during his lifetime, it is now recognized that his work offers v...

Geometry and Dynamics of Groups and Spaces

<P>Alexander Reznikov (1960-2003) was a brilliant and highly original mathematician. This book presents 18 articles by prominent mathematicians and is dedicated to his memory. In addition it...

Analysis and Synthesis of Logics

Walter Carnielli / Marcelo Coniglio / Dov M. Gabbay / Paula Gouveia / Cristina Sernadas

<P>Starting with simple examples showing the relevance of cutting and pasting logics, the monograph develops a mathematical theory of combining and decomposing logics, ranging from propositi...

Aritmetica

Giulio Cesare Barozzi

<p>Il volume si propone di fornire una prima introduzione alla teoria elementare dei numeri, rivolta agli insegnanti (e ai futuri insegnanti) di matematica. Esso vuole costituire un invito e...

Kurt Gödel

Karl Sigmund / Kurt Mühlberger / John Dawson

Time Magazine reihte ihn unter die hundert wichtigsten Personen des zwanzigsten Jahrhunderts. Die Harvard University verlieh ihm das Ehrendoktorat für die Entdeckung "der bedeutsamsten mathem...

Glück, Logik und Bluff

Jörg Bewersdorff

Der Autor hat es in bewundernswerter Weise geschafft, anhand einer Vielzahl bekannter Spiele von Schach über Poker bis Mastermind einen kleinen Einblick in mathematisch so anspruchsvolle Gebiete ...

Courbes Algébriques Planes

Alain Chenciner

<P>Issu d’un cours de maîtrise de l’Université Paris VII, ce texte est réédité tel qu’il était paru en 1978. A propos du théorème de Bézout sont introduits divers outils néce...

Nonlinear Dimensionality Reduction

John A. Lee / Michel Verleysen

<P>This book describes established and advanced methods for reducing the dimensionality of numerical databases. Each description starts from intuitive ideas, develops the necessary mathemati...