By R Sivaramakrishnan

Many simple rules of algebra and quantity conception intertwine, making it excellent to discover either whilst. Certain Number-Theoretic Episodes in Algebra specializes in a few very important facets of interconnections among quantity thought and commutative algebra. utilizing a pedagogical method, the writer offers the conceptual foundations of commutative algebra coming up from quantity conception. Self-contained, the ebook examines occasions the place particular algebraic analogues of theorems of quantity conception can be found.

Coverage is split into 4 elements, starting with components of quantity idea and algebra equivalent to theorems of Euler, Fermat, and Lagrange, Euclidean domain names, and finite teams. within the moment half, the e-book information ordered fields, fields with valuation, and different algebraic buildings. this is often through a assessment of basics of algebraic quantity thought within the 3rd half. the ultimate half explores hyperlinks with ring idea, finite dimensional algebras, and the Goldbach problem.

Similar number theory books

Arithmetic Tales (Universitext)

Quantity conception used to be famously categorized the queen of arithmetic via Gauss. The multiplicative constitution of the integers particularly offers with many desirable difficulties a few of that are effortless to appreciate yet very tricky to solve.  long ago, various very diverse strategies has been utilized to additional its figuring out.

Ramanujan's Lost Notebook: Part II: Pt. 2

Within the spring of 1976, George Andrews of Pennsylvania kingdom college visited the library at Trinity university, Cambridge, to check the papers of the overdue G. N. Watson. between those papers, Andrews came upon a sheaf of 138 pages within the handwriting of Srinivasa Ramanujan. This manuscript was once quickly specified "Ramanujan's misplaced laptop.

Factorization of Matrix and Operator Functions: The State Space Method: 178 (Operator Theory: Advances and Applications)

This booklet delineates a few of the sorts of factorization difficulties for matrix and operator features. the issues originate from, or are stimulated by way of, the speculation of non-selfadjoint operators, the speculation of matrix polynomials, mathematical platforms and regulate thought, the speculation of Riccati equations, inversion of convolution operators, and the speculation of task scheduling in operations examine.

Elementary Number Theory with Programming

A hugely winning presentation of the elemental suggestions of quantity concept and machine programming Bridging an latest hole among arithmetic and programming, simple quantity conception with Programming offers a distinct advent to straight forward quantity concept with basic assurance of machine programming.

Extra resources for Certain Number-Theoretic Episodes In Algebra (Chapman & Hall/CRC Pure and Applied Mathematics)

Sample text