Duality in Analytic Number Theory

- Series Number 122: Duality in Analytic Number Theory

  • Format
  • Bog, hardback
  • Engelsk

Beskrivelse

In this stimulating book, aimed at researchers both established and budding, Peter Elliott demonstrates a method and a motivating philosophy that combine to cohere a large part of analytic number theory, including the hitherto nebulous study of arithmetic functions. Besides its application, the book also illustrates a way of thinking mathematically: historical background is woven into the narrative, variant proofs illustrate obstructions, false steps and the development of insight, in a manner reminiscent of Euler. It is shown how to formulate theorems as well as how to construct their proofs. Elementary notions from functional analysis, Fourier analysis, functional equations and stability in mechanics are controlled by a geometric view and synthesized to provide an arithmetical analogue of classical harmonic analysis that is powerful enough to establish arithmetic propositions until now beyond reach. Connections with other branches of analysis are illustrated by over 250 exercises, structured in chains about individual topics.

Læs hele beskrivelsen
Detaljer
Størrelse og vægt
  • Vægt640 g
  • Dybde2,4 cm
  • coffee cup img
    10 cm
    book img
    15,9 cm
    23,5 cm

    Findes i disse kategorier...

    Se andre, der handler om...

    Velkommen til Saxo – din danske boghandel

    Hos os kan du handle som gæst, Saxo-bruger eller Saxo-medlem – du bestemmer selv. Skulle du få brug for hjælp, sidder vores kundeservice-team klar ved både telefonerne og tasterne.

    Om medlemspriser hos Saxo

    For at købe bøger til medlemspris skal du være medlem af Saxo Premium, Saxo Shopping eller Saxo Ung. De første 7 dage er gratis for nye medlemmer. Medlemskabet fornyes automatisk og kan altid opsiges. Læs mere om fordelene ved vores forskellige medlemskaber her.

    Machine Name: SAXO082