As seen by the dramatic applicability of these topics to areas like cryptography and coding theory, number theory and algebra play an increasingly important role in computing and communications.

This introductory book is aimed at a broad readership and places an emphasis on algorithms and applications, such as cryptography and error-correcting codes.

In order to inspire and clarify mathematics, the presentation switches back and forth between theory and applications. The fundamentals of number theory, abstract algebra, and discrete probability theory are covered in the mathematical content.

The material offered in the text's body is now fleshed out with more than 150 new tasks, ranging from easy to difficult, which further enhance the theory's development and offer fresh applications.

To enhance the material's presentation and exposition clarity, it has also been restructured. Ideal as a textbook for number theory and algebra basic courses, especially those aimed toward computer science students.