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#### 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Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 39.99The unpublished writings of Helmut Hasse, consisting of letters, manuscripts and other papers, are kept at the Handschriftenabteilung of the University Library at Gottingen.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...

#### Studies in Lie Theory

Springer 2006; US$ 199.00Dedicated to Anthony Joseph, this volume contains surveys and invited articles by leading specialists in representation theory. The focus here is on semisimple Lie algebras and quantum groups, where the impact of Joseph's work has been seminal and has changed the face of the subject. Two introductory biographical overviews of Joseph's contributions... 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...

#### Trends and Applications in Constructive Approximation

Springer 2006; US$ 189.00This volume contains contributions from international experts in the fields of constructive approximation. This area has reached out to encompass the computational and approximation-theoretical aspects of various interesting fields in applied mathematics such as (multivariate) approximation methods, quasi-interpolation,and approximation by (orthogonal)... more...

#### Contemporary Cryptology

Springer 2006; US$ 59.95Treats selected topics of the subject of contemporary cryptology, structured in five quite independent but related themes: efficient distributed computation modulo a shared secret, multiparty computation, foundations of modern cryptography, provable security for public key schemes, and efficient and secure public-key cryptosystems. more...