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#### 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...

#### 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...

#### 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...

#### A History of Chinese Mathematics

Springer 2006; US$ 59.99Made of two mutually explanatory parts, this book provides information on the general, historical and cultural background, and the development of each subdiscipline that together comprise Chinese mathematics. It is organised topically rather than chronologically, and tells how to interpret the contextual setting, both mathematical and sinological. more...

#### Determinantal Ideals

Springer 2007; US$ 99.00Determinantal ideals are a central topic in both commutative algebra and algebraic geometry. This book addresses three problems: CI-liaison class and G-liaison class of standard determinantal ideals; the multiplicity conjecture for standard determinantal ideals; and, unobstructedness and dimension of families of standard determinantal ideals. more...

#### Lineare Algebra

De Gruyter 2003; US$ 420.00Die Neuauflage dieses Standardlehrbuchs, das nun vor 40 Jahren erstmals erschien, behandelt den Stoff einer zweisemestrigen Lehrveranstaltung "Lineare Algebra" vorrangig vom algorithmischen Standpunkt aus. Damit wird das Konzept der 11. Auflage beibehalten, in der die Autoren den modernen Entwicklungen in Forschung und Lehre sowie dem weit verbreiteten... more...