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Number Theory

Most popular at the top

  • 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...

  • Basiswissen Zahlentheorieby Kristina Reiss; Gerald Schmieder

    Springer 2014; US$ 29.99

    Kenntnisse uber den Aufbau des Zahlensystems und uber elementare zahlentheoretische Prinzipien gehoren zum unverzichtbaren Grundwissen in der Mathematik. Das vorliegende Buch spannt den Bogen vom Rechnen mit naturlichen Zahlen uber Teilbarkeitseigenschaften und Kongruenzbetrachtungen bis hin zu zahlentheoretischen Funktionen und Anwendungen wie der... more...

  • The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)by Michael Harris; Richard Taylor

    Princeton University Press 2001; US$ 87.50

    This book aims first to prove the local Langlands conjecture for GL n over a p-adic field and, second, to identify the action of the decomposition group at a prime of bad reduction on the l-adic cohomology of the "simple" Shimura varieties. These two problems go hand in hand. The results represent a major advance in algebraic number theory, finally... more...

  • Algebraic Number Theoryby A. Fröhlich; M. J. Taylor

    Cambridge University Press 1991; US$ 74.00

    A graduate text providing a brisk, thorough treatment of the foundations of algebraic number theory. more...

  • Elementary Number Theory with Programmingby Marty Lewinter; Jeanine Meyer

    Wiley 2015; US$ 89.95

    Filling a much-needed gap in the current literature, this book expertly bridges the subjects of number theory and programming and features a multitude of examples and programming exercises in each chapter.  It provides an introduction to elementary number theory with fundamental coverage of computer programming and is appropriate for students... more...

  • Number Theoryby George E. Andrews

    Dover Publications 2012; US$ 14.95

    Although mathematics majors are usually conversant with number theory by the time they have completed a course in abstract algebra, other undergraduates, especially those in education and the liberal arts, often need a more basic introduction to the topic. In this book the author solves the problem of maintaining the interest of students at both... more...

  • Elementary Number Theoryby Underwood Dudley

    Dover Publications 2012; US$ 14.95

    Ideal for a first course in number theory, this lively, engaging text requires only a familiarity with elementary algebra and the properties of real numbers. Author Underwood Dudley, who has written a series of popular mathematics books, maintains that the best way to learn mathematics is by solving problems. In keeping with this philosophy, the text... more...

  • Introductory Real Analysisby A. N. Kolmogorov; S. V. Fomin; Richard A. Silverman

    Dover Publications 2012; US$ 17.95

    Self-contained and comprehensive, this elementary introduction to real and functional analysis is readily accessible to those with background in advanced calculus. It covers basic concepts and introductory principles in set theory, metric spaces, topological and linear spaces, linear functionals and linear operators, and much more. 350 problems. 1970... more...

  • Uniform Distribution of Sequencesby L. Kuipers; H. Niederreiter

    Dover Publications 2012; US$ 22.95

    The theory of uniform distribution began with Hermann Weyl's celebrated paper of 1916. In later decades, the theory moved beyond its roots in diophantine approximations to provide common ground for topics as diverse as number theory, probability theory, functional analysis, and topological algebra. This book summarizes the theory's development from... more...

  • Advanced Number Theoryby Harvey Cohn

    Dover Publications 2012; US$ 10.99

    "A very stimulating book ... in a class by itself." ? American Mathematical Monthly Advanced students, mathematicians and number theorists will welcome this stimulating treatment of advanced number theory, which approaches the complex topic of algebraic number theory from a historical standpoint, taking pains to show the reader how concepts, definitions... more...