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Algebra

Most popular at the top

  • Contemporary Cryptologyby Dario Catalano; Ronald Cramer; Ivan Damgard

    Springer 2006; US$ 59.95

    Treats 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...

  • Studies in Lie Theoryby Joseph Bernstein; Vladimir Hinich; Anna Melnikov

    Springer 2006; US$ 199.00

    Dedicated to Anthony Joseph, this volume contains surveys and invited articles by leading specialists in representation theory. The focus here is on semisimple Lie algebras and quantum groups, where the impact of Joseph's work has been seminal and has changed the face of the subject. Two introductory biographical overviews of Joseph's contributions... more...

  • Set Theoryby Joan Bagaria; Stevo Todorcevic

    Springer 2006; US$ 169.00

    Contains 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 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...

  • 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...

  • 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...

  • 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...