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Number Theory

Most popular at the top

  • Summing It Upby Avner Ash; Robert Gross

    Princeton University Press 2016; US$ 27.95 US$ 25.43

    We use addition on a daily basis—yet how many of us stop to truly consider the enormous and remarkable ramifications of this mathematical activity? Summing It Up uses addition as a springboard to present a fascinating and accessible look at numbers and number theory, and how we apply beautiful numerical properties to answer math problems. Mathematicians... more...

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

    Springer Berlin Heidelberg 2013; US$ 37.63

    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$ 37.63

    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$ 83.97

    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...

  • Value Distribution in p-adic Analysisby Alain Escassut

    World Scientific Publishing Company 2015; US$ 152.00 US$ 138.32

    The book first explains the main properties of analytic functions in order to use them in the study of various problems in p-adic value distribution. Certain properties of p-adic transcendental numbers are examined such as order and type of transcendence, with problems on p-adic exponentials. Lazard's problem for analytic functions inside a disk... more...

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

    Princeton University Press 2016; US$ 90.00 US$ 81.90

    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$ 130.00 US$ 118.30

    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$ 20.29

    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...

  • Singular Modular Forms and Theta Relationsby Eberhard Freitag

    Springer Berlin Heidelberg 2006; US$ 22.38

    This research monograph reports on recent work on the theoryof singular Siegel modular forms of arbitrary level.Singular modular forms are represented as linearcombinations of theta series. The reader is assumed toknowonly the basic theory of Siegel modular forms. more...

  • Mixed Motives and Algebraic K-Theoryby Uwe Jannsen

    Springer Berlin Heidelberg 2006; US$ 44.78

    The relations that could or should exist between algebraic cycles, algebraic K-theory, and the cohomology of - possibly singular - varieties, are the topic of investigation of this book. The author proceeds in an axiomatic way, combining the concepts of twisted Poincaré duality theories, weights, and tensor categories. One thus arrives at generalizations... more...