The book attempts to point out the interconnections between number theory and algebra with a view to making a student understand certain basic concepts in the two areas forming the subject-matter of the book.

part Section I|1 pages

Elements of the Theory of Numbers

chapter Chapter 1|30 pages

From Euclid to Lucas: Elementary Theorems Revisited

chapter Chapter 2|8 pages

Solutions of Congruences, Primitive Roots

chapter Chapter 3|12 pages

The Chinese Remainder Theorem

chapter Chapter 4|16 pages

Möbius Inversion

chapter Chapter 5|14 pages

Quadratic Residues (mod r) (r > 1)

chapter Chapter 7|19 pages

Dirichlet Algebra of Arithmetical Functions

chapter Chapter 8|16 pages

Modular Arithmetical Functions

chapter Chapter 9|14 pages

A Generalization of Ramanujan Sums

part Section II|1 pages

Selected Topics In Algebra

chapter Chapter 11|15 pages

On the Uniqueness of a Group of Order r (r > 1)

chapter Chapter 12|16 pages

Quadratic Reciprocity in a Finite Group

chapter Chapter 13|26 pages

Commutative Rings with Unity

chapter Chapter 14|24 pages

Noetherian and Artinian Rings

part Section III|1 pages

Glimpses of the Theory of Algebraic Numbers

chapter Chapter 15|26 pages

Dedekind Domains

chapter Chapter 16|26 pages

Algebraic Number Fields

part Section IV|1 pages

Some Additional Topics

chapter Chapter 17|16 pages

Vaidyanathaswamy’s Class-Division of Integers Modulo r

chapter Chapter 18|14 pages

Burnside’s Lemma and a Few of Its Applications

chapter Chapter 19|20 pages

On Cyclic Codes of Length n over F q

chapter Chapter 20|10 pages

An Analogue of the Goldbach Problem