Certain Number-Theoretic Episodes In Algebra (häftad)
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Format
Häftad (Paperback / softback)
Språk
Engelska
Antal sidor
660
Utgivningsdatum
2019-10-07
Förlag
Chapman & Hall/CRC
Medarbetare
Sivaramakrishnan, R
Illustrationer
Black & white illustrations
Dimensioner
231 x 155 x 36 mm
Vikt
885 g
Antal komponenter
1
Komponenter
49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam
ISBN
9780367390327

Certain Number-Theoretic Episodes In Algebra

av Sivaramakrishnan R, R Sivaramakrishnan
Häftad,  Engelska, 2019-10-07
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Many basic ideas of algebra and number theory intertwine, making it ideal to explore both at the same time. Certain Number-Theoretic Episodes in Algebra focuses on some important aspects of interconnections between number theory and commutative algebra. Using a pedagogical approach, the author presents the conceptual foundations of commutative algebra arising from number theory. Self-contained, the book examines situations where explicit algebraic analogues of theorems of number theory are available. Coverage is divided into four parts, beginning with elements of number theory and algebra such as theorems of Euler, Fermat, and Lagrange, Euclidean domains, and finite groups. In the second part, the book details ordered fields, fields with valuation, and other algebraic structures. This is followed by a review of fundamentals of algebraic number theory in the third part. The final part explores links with ring theory, finite dimensional algebras, and the Goldbach problem.
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Övrig information

R, Sivaramakrishnan; Sivaramakrishnan, R

Innehållsförteckning

Elements of Number Theory and Algebra. The Relevance of Algebraic Structures to Number Theory. A Glimpse of Algebraic Number Theory. Some More Interconnections.

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