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#### Combinatorial Commutative Algebra

Springer-Verlag New York Inc 2006; US$ 59.95Offers an introduction to combinatorial commutative algebra, focusing on combinatorial techniques for multigraded polynomial rings, semigroup algebras, and determined rings. The chapters in this work cover topics ranging from homological invariants of monomial ideals and their polyhedral resolutions, to tools for studying algebraic varieties. 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...

#### Mathematics and the Historian's Craft

Springer-Verlag New York Inc 2006; US$ 139.00This book brings together for the first time the Kenneth May Lectures that were given at the annual meetings of the Canadian Society for History and Philosophy of Mathematics. All contributions are of high scholarly value, yet accessible to an audience with a wide range of interests. 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...

#### 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...

#### 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...

#### The Shaping of Arithmetic after C.F. Gauss's Disquisitiones Arithmeticae

Springer 2007; US$ 89.95Revisits successive periods in the reception of the Disquisitiones as it studies which parts were taken up and when, which themes were further explored. This work also focuses on how specific mathematicians reacted to Gauss' book: Dirichlet and Hermite, Kummer and Genocchi, Dedekind and Zolotarev, Dickson and Emmy Noether, among others. more...

#### Cyclotomic Fields and Zeta Values

Springer 2006; US$ 64.95Cyclotomic fields have occupied a central place in number theory, and the so called "main conjecture" on cyclotomic fields is arguably the deepest theorem known about them. This work presents the proof of the "main conjecture'' for cyclotomic fields. It is useful to both graduate students and non-experts in Iwasawa theory. more...