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Algebra

Most popular at the top

  • Alternative Loop Ringsby E.G. Goodaire; E. Jespers; C. Polcino Milies

    Elsevier Science 1996; US$ 215.00

    For 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 Valuesby John Coates; R. Sujatha

    Springer 2006; US$ 64.95

    Cyclotomic 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 Algebrasby Eric Jespers; Jan Okninski

    Springer 2007; US$ 119.00

    Within 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 Arithmeticaeby Catherine Goldstein; Norbert Schappacher; Joachim Schwermer

    Springer 2007; US$ 89.95

    Revisits 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...

  • Lineare Algebraby Gerhard Michler; H.-J. Kowalsky

    De Gruyter 2003; US$ 420.00

    Die 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...

  • The Determinacy of Long Gamesby Itay Neeman

    De Gruyter 2004; US$ 238.00

    In 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...

  • Number Storyby Peter Higgins

    Springer 2008; US$ 25.00

    Provides 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...

  • A History of Chinese Mathematicsby Jean-Claude Martzloff

    Springer 2006; US$ 59.99

    Made 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 Idealsby Rosa Maria Miro-Roig

    Springer 2007; US$ 99.00

    Determinantal 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 Remarkable Collection of Babylonian Mathematical Textsby Jöran Friberg

    Springer 2007; US$ 229.00

    The book analyzes the mathematical tablets from the private collection of Martin Schoyen. It includes analyses of tablets which have never been studied before. This provides new insight into Babylonian understanding of sophisticated mathematical objects. The book is carefully written and organized. The tablets are classified according to mathematical... more...