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Number Theory

Most popular at the top

  • Aufgaben und Lehrsätze aus der Analysisby George Pólya; Gábor Szegö; James Allister Jenkins; Giorgio Philip Szegö

    Springer Berlin Heidelberg 2013; US$ 54.99

    Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser... more...

  • Einführung in die Zahlentheorieby Peter Bundschuh

    Springer Berlin Heidelberg 2013; US$ 54.99

    Aus den Besprechungen: "Die vorliegende, umfangreiche Einführung berücksichtigt stärker als andere die historische Entwicklung. Das bedeutet nicht, daß der Autor grundsätzlich die ersten in der Literatur vorliegenden Beweise gewählt hat, sondern daß er angibt, wer die entsprechenden Sätze gefunden hat und wie sie im Laufe der Zeit verschärft und... more...

  • Advances in the Theory of Numbersby Ayse Alaca; Saban Alaca; Kenneth S. Williams

    Springer New York 2015; US$ 109.00

    The theory of numbers continues to occupy a central place in modern mathematics because of both its long history over many centuries as well as its many diverse applications to other fields such as discrete mathematics, cryptography, and coding theory. The proof by Andrew Wiles (with Richard Taylor) of Fermat?s last theorem published in 1995 illustrates... more...

  • Gauss Sums, Kloosterman Sums, and Monodromy Groups. (AM-116)by Nicholas M. Katz

    Princeton University Press 2016; US$ 87.00

    The study of exponential sums over finite fields, begun by Gauss nearly two centuries ago, has been completely transformed in recent years by advances in algebraic geometry, culminating in Deligne's work on the Weil Conjectures. It now appears as a very attractive mixture of algebraic geometry, representation theory, and the sheaf-theoretic incarnations... more...

  • Abelian Varieties with Complex Multiplication and Modular Functionsby Goro Shimura

    Princeton University Press 2016; US$ 125.00

    Reciprocity laws of various kinds play a central role in number theory. In the easiest case, one obtains a transparent formulation by means of roots of unity, which are special values of exponential functions. A similar theory can be developed for special values of elliptic or elliptic modular functions, and is called complex multiplication of such... more...

  • Are Numbers Real?by Brian Clegg

    St. Martin's Press 2016; US$ 28.99

    Have you ever wondered what humans did before numbers existed? How they organized their lives, traded goods, or kept track of their treasures? What would your life be like without them? Numbers began as simple representations of everyday things, but mathematics rapidly took on a life of its own, occupying a parallel virtual world. In Are Numbers... more...

  • Codes and Ciphersby R. F. Churchhouse

    Cambridge University Press 2001; US$ 40.00

    A close look at the codes and ciphers used by private individuals, spies, governments and industry throughout history. more...

  • Value-Distribution of L-Functionsby Jörn Steuding

    Springer Berlin Heidelberg 2007; US$ 79.95

    These notes present recent results in the value-distribution theory of L-functions with emphasis on the phenomenon of universality. Universality has a strong impact on the zero-distribution: Riemann?s hypothesis is true only if the Riemann zeta-function can approximate itself uniformly. The text proves universality for polynomial Euler products. The... more...

  • Mathematical Modeling for the Life Sciencesby Jacques Istas

    Springer Berlin Heidelberg 2006; US$ 49.95

    Proposing a wide range of mathematical models that are currently used in life sciences may be regarded as a challenge, and that is precisely the challenge that this book takes up. Of course this panoramic study does not claim to offer a detailed and exhaustive view of the many interactions between mathematical models and life sciences. This textbook... more...

  • Automatic Sequencesby Friedrich Haeseler

    De Gruyter 2003; US$ 196.00

    Automatic sequences are sequences which are produced by a finite automaton. Although they are not random they may look as being random. They are complicated, in the sense of not being not ultimately periodic, they may look rather complicated, in the sense that it may not be easy to name the rule by which the sequence is generated, however... more...