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#### Set Theory

Springer 2006; US$ 169.00Contains survey papers on some of the mainstream areas of set theory and research. This book covers topics such as Omega-logic, applications of set theory to lattice theory and Boolean algebras, real-valued measurable cardinals, complexity of sets and relations in continuum theory, weak subsystems of axiomatic set theory, and more. more...

#### Field Arithmetic

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 159.00Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. We use Haar measure on the absolute Galois group to replace counting... more...

#### The Brauer-Hasse-Noether Theorem in Historical Perspective

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 39.99The unpublished writings of Helmut Hasse, consisting of letters, manuscripts and other papers, are kept at the Handschriftenabteilung of the University Library at Gottingen. Hasse had an extensive correspondence; he liked to exchange mathematical ideas, results and methods freely with his colleagues. There are more than 8000 documents preserved. Although... more...

#### Lie Algebras and Algebraic Groups

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 119.00The theory of Lie algebras and algebraic groups has been an area of active research for the last 50 years. It intervenes in many different areas of mathematics: for example invariant theory, Poisson geometry, harmonic analysis, mathematical physics. The aim of this book is to assemble in a single volume the algebraic aspects of the theory, so as to... more...

#### Solving Polynomial Equations

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 129.00Provides an introduction to modern mathematical aspects in computing with multivariate polynomials and in solving algebraic systems. This book presents several symbolic, numeric, and symbolic-numeric techniques, including algorithmic methods in algebraic geometry and computational algebra, complexity issues, and a range of applications. more...

#### Integral Closure

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 179.00Integral Closure gives an account of theoretical and algorithmic developments on the integral closure of algebraic structures. These are shared concerns in commutative algebra, algebraic geometry, number theory and the computational aspects of these fields. The overall goal is to determine and analyze the equations of the assemblages of the set of... more...

#### Models in Cooperative Game Theory

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 84.95This book investigates models in cooperative game theory in which the players have the possibility to cooperate partially. In a crisp game the agents are either fully involved or not involved at all in coperation with some other agents, while in a fuzzy game players are allowed to cooperate with infinite many different participation levels, varying... more...

#### Condorcet's Paradox

Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 189.00Presents a compilation of the research conducted in the study of Condorcet's Paradox. This book gives an overview of the discovery of "Condorcet's Paradox" in the 18th Century, provides a survey of numerous empirical studies, and compiles the research on mathematical representations for the probability that the paradox will be observed. more...

#### Alternative Loop Rings

Elsevier Science 1996; US$ 215.00For the past ten years, alternative loop rings have intrigued mathematicians from a wide cross-section of modern algebra. As a consequence, the theory of alternative loop rings has grown tremendously. One of the main developments is the complete characterization of loops which have an alternative but not associative, loop ring. Furthermore, there is... more...

#### Noetherian Semigroup Algebras

Springer 2007; US$ 119.00Within the last decade, semigroup theoretical methods have occurred naturally in many aspects of ring theory, algebraic combinatorics, representation theory and their applications. In particular, motivated by noncommutative geometry and the theory of quantum groups, there is a growing interest in the class of semigroup algebras and their deformations.... more...