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Non-Unique Factorizations Algebraic Combinatorial & Analytic

lit. obcojęzyczna

  • Wydawnictwo CRC Press Inc.
  • Oprawa miękka
  • darmowa dostawa od 300zł Darmowa dostawa
  • Dostępność niedostępny

Non-Unique Factorizations Algebraic Combinatorial & Analytic - opis produktu:

Provides a thorough presentation of the current state of knowledge in the theory of nonunique factorizationsFocuses on the algebraic combinatorial and analytical aspects of the theoryOffers selfcontained sections on the fundamentals of videal theory additive group theory and analytic number theoryPresents a discussion on additive group theory paying special attention to recent developments and focusing on finite Abelian groupsFocuses on the Prime Element Theorem for formations with remainder terms and on Tauberian Theorems for arithmetically defined Dirichlet series From its origins in algebraic number theory the theory of nonunique factorizations has emerged as an independent branch of algebra and number theory Focused efforts over the past few decades have wrought a great number and variety of results However these remain dispersed throughout the vast literature For the first time NonUnique Factorizations Algebraic Combinatorial and Analytic Theory offers a look at the present state of the theory in a single unified resourceTaking a broad look at the algebraic combinatorial and analytic fundamentals this book derives factorization results and applies them in concrete arithmetical situations using appropriate transfer principles It begins with a basic introduction that can be understood with knowledge of standard basic algebra The authors then move to the algebraic theory of monoids arithmetic theory of monoids the structure of sets of lengths additive group theory arithmetical invariants and the arithmetic of Krull monoids They also provide a selfcontained introduction to abstract analytic number theory as well as a modern treatment of W Narkiewiczs analytic theory of nonunique factorizationsNonUnique Factorizations Algebraic Combinatorial and Analytic Theory builds the discussion from first principles to applied problem solving making it ideally suited to those not familiar with the theory as well as those who wish to deepen their understanding
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Szczegóły
  • Dział: Literatura obcojęzyczna
  • Wydawnictwo: CRC Press Inc.
  • Oprawa: miękka
  • ISBN: 978-1-5848-8576-4
  • Wprowadzono: 24.06.2008

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Non-Unique Factorizations Algebraic Combinatorial & Analytic

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