Description
This book is an introductory text on number theory and algebra. It is written for a broad audience and covers the basics of number theory, abstract algebra, and discrete probability theory. The book has been reorganized to improve clarity of exposition and presentation. It is ideal as a textbook for introductory courses in number theory and algebra.
This introductory book emphasizes algorithms and applications, such as cryptography and error correcting codes, and is accessible to a broad audience. The presentation alternates between theory and applications in order to motivate and illustrate the mathematics. The mathematical coverage includes the basics of number theory, abstract algebra and discrete probability theory. This edition now includes over 150 new exercises, ranging from the routine to the challenging, that flesh out the material presented in the body of the text, and which further develop the theory and present new applications. The material has also been reorganized to improve clarity of exposition and presentation. Ideal as a textbook for introductory courses in number theory and algebra, especially those geared towards computer science students.
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