Certain Number-theoretic Episodes In Algebra (chapman & Hall/crc Pure And Applied Mathematics)
by R Sivaramakrishnan /
2006 / English / PDF
3.6 MB Download
Many basic ideas of algebra and number theory intertwine, making it
ideal to explore both at the same time.
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
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.
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.
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.
