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Number Theory

  • Bernoulli Numbers and Zeta Functionsby Tsuneo Arakawa; Tomoyoshi Ibukiyama; Masanobu Kaneko; Don B. Zagier

    Springer 2014; US$ 109.00

    Two major subjects are treated in this book. The main one is the theory of Bernoulli numbers and the other is the theory of zeta functions. Historically, Bernoulli numbers were introduced to give formulas for the sums of powers of consecutive integers. The real reason that they are indispensable for number theory, however, lies in the fact that special... more...

  • Neuronsby Masayoshi Hata

    World Scientific Publishing Company 2014; US$ 124.00

    This unique volume presents a fruitful and beautiful mathematical world hidden in Caianiello's neuronic equations, which describe the instantaneous behavior of a model of a brain or thinking machine. The detailed analysis from a viewpoint of “dynamical systems”, even in a single neuron case, enables us to obtain amazingly good... more...

  • 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...

  • Conformal Field Theory, Automorphic Forms and Related Topicsby Winfried Kohnen; Rainer Weissauer

    Springer 2014; US$ 169.00

    This book, part of the series?Contributions in Mathematical and Computational Sciences,?reviews recent developments in the theory of vertex operator algebras (VOAs) and their applications to mathematics and physics.The mathematical theory of VOAs originated from the famous monstrous moonshine conjectures of J.H. Conway and S.P. Norton, which predicted... 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...

  • Mathematics for the Liberal Artsby Donald Bindner; Martin J. Erickson; Joe Hemmeter

    Wiley 2014; US$ 92.95

    Presents a clear bridge between mathematics and the liberal arts Mathematics for the Liberal Arts provides a comprehensible and precise introduction to modern mathematics intertwined with the history of mathematical discoveries. The book discusses mathematical ideas in the context of the unfolding story of human thought and highlights the application... more...

  • Weakly Wandering Sequences in Ergodic Theoryby Stanley Eigen; Arshag Hajian; Yuji Ito; Vidhu Prasad

    Springer 2014; US$ 109.00

    The appearance of weakly wandering (ww) sets and sequences for ergodic transformations over half a century ago was an unexpected and surprising event. In time it was shown that ww and related sequences reflected significant and deep properties of ergodic transformations that preserve an infinite measure.This monograph studies in a systematic way the... more...

  • Problems from the Discrete to the Continuousby Ross Pinsky

    Springer 2014; US$ 69.99

    The primary intent of the book is to introduce an array of beautiful problems in a variety of subjects quickly, pithily and completely rigorously to graduate students and advanced undergraduates. The book takes a number of specific problems and solves them, the needed tools developed along the way in the context of the particular problems. It treats... more...

  • Proofs from THE BOOKby Martin Aigner; Karl H. Hofmann; GŁnter M. Ziegler

    Springer 2014; US$ 59.99

    This revised and enlarged fifth edition features four new chapters, which contain highly original and delightful proofs for classics such as the spectral theorem from linear algebra, some more recent jewels like the non-existence of the Borromean rings and other surprises.From the Reviews'... Inside PFTB (Proofs from The Book) is indeed a glimpse... more...

  • Neverending Fractionsby Jonathan Borwein; Alf van der Poorten; Jeffrey Shallit; Wadim Zudilin

    Cambridge University Press 2014; US$ 32.00

    This introductory text covers a variety of applications to interest every reader, from researchers to amateur mathematicians. more...