A Computational Introduction to Number Theory and Algebra 2nd Edition by Victor Shoup (PDF)

Description

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.

User’s Reviews

Editorial Reviews: Review “The subject matter is presented in a very thorough way. Detailed and clear proofs are given for (almost) all results. The material is very well organized: definitions, results, and their interrelations fit together perfectly. The book is especially attractive to students with a background or interest in computer science. On the other hand, students who already have a background in abstract algebra can benefit greatly from this book by skipping some parts where algebraic theory is introduced. The suitability of the book for self-study is greatly enhanced by a wealth of exercises and examples that are provided. Last but not least, the book is very well-written, and it is a pleasure to read. Gregor Kemper, Mathematics of Computation”It’s a pleasure to find a book that is so masterful and so well written that it has all the hallmarks of a classic. This is such a book.This is a truly magnificent text, deserving of a place on the shelves of any mathematician or computer scientist working in these areas.” Alasdair McAndrew, Computing Reviews Book Description An introductory graduate-level text emphasizing algorithms and applications. This second edition includes over 200 new exercises and examples. About the Author Victor Shoup is a Professor in the Department of Computer Science at the Courant Institute of Mathematical Sciences, New York University. Read more

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐The writing is good and I appreciate the author not being pompous or condescending like most upper division mathematics textbooks (i.e. “the solution is OBVIOUS so we won’t work through it”)Terrible binding; fell off the spine in 3 weeks.

⭐Very detailed and well-written text.

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