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    1. Naturvetenskap och teknik
    2. Matematik och naturvetenskap
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    4. Talteori

    Problems in Analytic Number Theory

    AvM. Ram Murty

    Häftad, Engelska, 2010

    Del i serien Graduate Texts in Mathematics

    651 kr

    Beställningsvara. Skickas inom 10-15 vardagar. Fri frakt över 249 kr.

    Fler format och utgåvor

    Inbunden

    597 kr

    E-bok

    868 kr

    Beskrivning

    This book is a collection of about 500 problems in analytic number theory with the singular purpose of training the beginning graduate student in some of its significant techniques. This book, along with Murty's other book "Problems in Algebraic Number Theory" are intended to enable the student to gain a quick initiation into the beautiful subject of number theory. Since the subject is rapidly expanding such an expedient route becomes indispensable. The material in these two books provides a "basic tool kit" for the number theorist.

    Produktinformation

    • Utgivningsdatum:2010-11-19
    • Mått:155 x 235 x 32 mm
    • Vikt:775 g
    • Format:Häftad
    • Språk:Engelska
    • Serie:Graduate Texts in Mathematics
    • Antal sidor:506
    • Upplaga:2
    • Förlag:Springer-Verlag New York Inc.
    • ISBN:9781441924773

    Utforska kategorier

    • Talteori inom Naturvetenskap och teknik
    • Diskret matematik inom Naturvetenskap och teknik

    Recensioner i media

    M.R. Murty Problems in Analytic Number Theory "The reviewer strongly approves of the problem-based approach to learning, and recommends this book to any student of analytic number theory." -MATHEMATICAL REVIEWS From the reviews of the second edition: "This expanded and corrected second edition of this useful and interesting book has a new chapter on the topic of equidistribution. ... this monograph gives important results and techniques for specific topics, together with many exercises. ... I do enjoy this book ... and I imagine when I take the graduate course in the subject that it will be of a greater benefit, which is why I offered such a high rating." (Philosophy, Religion and Science Book Reviews, bookinspections.wordpress.com, July, 2013) "The second edition of the book has eleven chapters ... . the book can be used both as a problem book (as its title shows) and also as a textbook (as the series in which the book is published shows). ... is ideal as a text for a first course in analytic number theory, either at the senior undergraduate or the graduate level. ... I believe that this book will be very useful for students, researchers and professors. It is well written ... ." (Mehdi Hassani, MathDL, April, 2008)

    Innehållsförteckning

    • Problems.- Arithmetic Functions.- Primes in Arithmetic Progressions.- The Prime Number Theorem.- The Method of Contour Integration.- Functional Equations.- Hadamard Products.- Explicit Formulas.- The Selberg Class.- Sieve Methods.- p-adic Methods.- Equidistribution.- Solutions.- Arithmetic Functions.- Primes in Arithmetic Progressions.- The Prime Number Theorem.- The Method of Contour Integration.- Functional Equations.- Hadamard Products.- Explicit Formulas.- The Selberg Class.- Sieve Methods.- p-adic Methods.- Equidistribution.
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