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Algebra

  • Euler Systems. (AM-147)by Karl Rubin

    Princeton University Press 2014; US$ 72.50

    One of the most exciting new subjects in Algebraic Number Theory and Arithmetic Algebraic Geometry is the theory of Euler systems. Euler systems are special collections of cohomology classes attached to p-adic Galois representations. Introduced by Victor Kolyvagin in the late 1980s in order to bound Selmer groups attached to p-adic representations,... more...

  • Max Plus at Workby Bernd Heidergott; Geert Jan Olsder; Jacob van der Woude

    Princeton University Press 2014; US$ 72.50

    Trains pull into a railroad station and must wait for each other before leaving again in order to let passengers change trains. How do mathematicians then calculate a railroad timetable that accurately reflects their comings and goings? One approach is to use max-plus algebra, a framework used to model Discrete Event Systems, which are well suited... more...

  • Triangulated Categories. (AM-148)by Amnon Neeman

    Princeton University Press 2014; US$ 97.50

    The first two chapters of this book offer a modern, self-contained exposition of the elementary theory of triangulated categories and their quotients. The simple, elegant presentation of these known results makes these chapters eminently suitable as a text for graduate students. The remainder of the book is devoted to new research, providing, among... more...

  • Topics in Quaternion Linear Algebraby Leiba Rodman

    Princeton University Press 2014; US$ 79.50

    Quaternions are a number system that has become increasingly useful for representing the rotations of objects in three-dimensional space and has important applications in theoretical and applied mathematics, physics, computer science, and engineering. This is the first book to provide a systematic, accessible, and self-contained exposition of quaternion... more...

  • Combinatoricsby Theodore G. Faticoni

    Wiley 2014; US$ 82.95

    Bridges combinatorics and probability and uniquely includes detailed formulas and proofs to promote mathematical thinking Combinatorics: An Introduction introduces readers to counting combinatorics, offers examples that feature unique approaches and ideas, and presents case-by-case methods for solving problems. Detailing how combinatorial problems... more...

  • Primes of the Form x2+ny2by David A. Cox

    Wiley 2014; US$ 59.95

    An exciting approach to the history and mathematics of number theory “. . . the author’s style is totally lucid and very easy to read . . .the result is indeed a wonderful story.” —Mathematical Reviews Written in a unique and accessible style for readers of varied mathematical backgrounds, the Second Edition of Primes... more...

  • Classical Mathematics from Al-Khwarizmi to Descartesby Roshdi Rashed

    Taylor and Francis 2014; US$ 160.00

    This book follows the development of classical mathematics and the relation between work done in the Arab and Islamic worlds and that undertaken by the likes of Descartes and Fermat. ?Early modern,? mathematics is a term widely used to refer to the mathematics which developed in the West during the sixteenth and seventeenth century. For many historians... more...

  • Krichever?Novikov Type Algebrasby Martin Schlichenmaier

    De Gruyter 2014; US$ 154.00

    Krichever and Novikov introduced certain classes of infinite dimensionalLie algebrasto extend the Virasoro algebra and its related algebras to Riemann surfaces of higher genus. The author of this book generalized and extended them toa more general setting needed by the applications. Examples of applications are Conformal Field Theory, Wess-Zumino-Novikov-Witten... more...

  • Linear Algebraby Juan Jorge Schäffer

    World Scientific Publishing Company 2014; US$ 62.00

    In the spirit of the author’s Basic Language of Mathematics , this companion volume is a careful exposition of the concepts and processes of Linear Algebra. It stresses cautious and clear explanations, avoiding reliance on co–ordinates as much as possible, and with special, but not exclusive, attention to the finite–dimensional... more...