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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...

#### 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...

#### 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...

#### 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...

#### 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 Determinacy of Long Games

De Gruyter 2004; US$ 238.00In this volume the author develops and applies methods for proving, from large cardinals, the determinacy of definable games of countable length on natural numbers. The determinacy is ultimately derived from iteration strategies, connecting games on natural numbers with the specific iteration games that come up in the study of large cardinals.... 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... 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...

#### 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...

#### Dirac Operators in Representation Theory

Springer 2007; US$ 139.00Dirac operators are used in physics, differential geometry, and group-theoretic settings. Using Dirac operators as a unifying theme, this work demonstrates how some of the important results in representation theory fit together when viewed from this perspective. It presents the important ideas on Dirac operators and Dirac cohomology. more...