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Condorcet's Paradox
Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 129.99Presents 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...
Cyclotomic Fields and Zeta Values
Springer 2006; US$ 49.99Cyclotomic 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$ 69.99Revisits 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...
The Determinacy of Long Games
De Gruyter 2004; US$ 224.00In 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. The... more...
Noetherian Semigroup Algebras
Springer 2007; US$ 94.99Within 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...
Lineare Algebra
De Gruyter 2003; US$ 378.00Die 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...
Forcing Idealized
Cambridge University Press 2008; US$ 90.00Monograph exploring the connections that forcing makes with descriptive set theory and other areas of mathematics. more...
Determinantal Ideals
Springer 2007; US$ 54.99Determinantal 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...
Number Story
Springer 2008; US$ 19.99Provides an introduction to the development of numbers and their applications. This book includes material with more challenging ideas about infinity and complex numbers and offers examples ranging from recreational puzzles to very real world scenarios. It is for those who are curious about the mathematics behind real-life questions. more...
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