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Factorization: Unique and Otherwise

✍ Scribed by Steven H. Weintraub

Publisher
A K Peters/CRC Press
Year
2008
Tongue
English
Leaves
262
Series
Cms Treatises in Mathematics
Edition
1
Category
Library
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✦ Synopsis

The concept of factorization, familiar in the ordinary system of whole numbers that can be written as a unique product of prime numbers, plays a central role in modern mathematics and its applications. This exposition of the classic theory leads the reader to an understanding of the current knowledge of the subject and its connections to other mathematical concepts, for example in algebraic number theory. The book can be used as a text for a first course in number theory or for self-study by motivated high school students or readers interested in modern mathematics.

✦ Subjects

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πŸ“œ SIMILAR VOLUMES

Factorization: Unique and Otherwise
πŸ“ Factorization: Unique and Otherwise
✍ Steven H. Weintraub πŸ“‚ Library πŸ“… 2008 πŸ› A. K. Peters 🌐 English

The concept of factorization, familiar in the ordinary system of whole numbers that can be written as a unique product of prime numbers, plays a central role in modern mathematics and its applications. This exposition of the classic theory leads the reader to an understanding of the current knowledg

Non-Unique Factorizations: Algebraic, Co
πŸ“ Non-Unique Factorizations: Algebraic, Combinatorial and Analytic Theory
✍ Alfred Geroldinger, Franz Halter-Koch πŸ“‚ Library πŸ“… 2006 πŸ› Chapman and Hall CRC 🌐 English

From its origins in algebraic number theory, the theory of non-unique 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 li

Non-unique factorizations : algebraic, c
πŸ“ Non-unique factorizations : algebraic, combinatorial and analytic theory
✍ Alfred Geroldinger; Franz Halter-Koch πŸ“‚ Library πŸ“… 2006 πŸ› Taylor 🌐 English

CONCEPTS IN FACTORIZATION THEORY AND EXAMPLES Atoms and Primes Free Monoids, Factorial Monoids and Factorizations BF-Monoids Systems of Sets of Lengths FF-Monoids The Catenary Degree and the Tame Degree Rings of Integers of Algebraic Number Fields ALGEBRAIC THEORY OF MONOIDS v-Ideals Prime Ideals a