Number Theory for Computing 2nd Edition by Song Y. Yan (PDF)

Description

This book provides a good introduction to the classical elementary number theory and the modern algorithmic number theory, and their applications in computing and information technology, including computer systems design, cryptography and network security. In this second edition proofs of many theorems have been provided, further additions and corrections were made.

User’s Reviews

Editorial Reviews: Review From the reviews of the second edition:”This book gives a profound and detailed insight at an undergraduate level in abstract and computational number theory as well as in applications in computing and cryptography. … The author has done a lot of work in providing a plenty of examples, in adding many historical comments including sketchy biographies … and in presenting the whole topic in a very accessible style. So the book can be recommended warmly for the laymen as well as for the mathematician without experience in applied number theory.” (G. Kowol, Monatshefte für Mathematik, Vol. 140 (4), 2003) From the Back Cover There are many surprising connections between the theory of numbers, which is one of the oldest branches of mathematics, and computing and information theory. Number theory has important applications in computer organization and security, coding and cryptography, random number generation, hash functions, and graphics. Conversely, number theorists use computers in factoring large integers, determining primes, testing conjectures, and solving other problems. This book takes the reader from elementary number theory, via algorithmic number theory, to applied number theory in computer science. It introduces basic concepts, results, and methods, and discusses their applications in the design of hardware and software, cryptography, and security. It is aimed at undergraduates in computing and information technology, including electrical and electronic engineering, but will also be valuable to mathematics students interested in applications. It presupposes only high-shool math.In this 2nd edition proofs of many theorems are added and some corrections are made.

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

⭐This book is a really, really great math book. Firstly, I appreciate the extensive symbol table — even if I already know the meanings of the symbols I am most concerned with, it DOES NOT HURT to list them all! Bravo!! I also enjoy the material itself: everything seems to be slanted towards modular arithmetic and factorization, so it is aimed just right at those wanting a “leg-up” (a southern reference to horse racing) in the computer science world, where everything depends on security and security depends upon mathematics.But this author goes further than usual in the further sense: not only does Song present the material very succinctly and clearly, there are really cool quotes at the beginnings of the chapters that could only come from someone deeply versed in the subject. With this book, I feel that Song shares an insight into the subjects presented that most people never get in just one lifetime. There are numerous pictures of the people most often thought of as pioneers in the various subtopics, with short accounts of how that person’s efforts came to fruition in our understanding of a matter. These excerpts break up the severity of the material really nicely, and help us get a bigger picture of everything.This book is a keeper!

⭐Easy to Read

⭐I just picked this monograph up at the Crypto-2000 conference at UCSB. It is an unassuming, straight forward walk through the elements of computational number theory. The author claims all that is required is high school math; however, once cracking the book open the reader finds that the material is more directed at the advanced undergraduate, or even the graduate math student, computer scientist, or to he/she who wants a singular experience in good mathematics. For example, there are side bars that touch on some of the very brightest of the number theory elite; providing much needed insight as to their motivations and pursuits of attack. Many a complicated concept is rendered harmless and fashioned readily available for the learned reader. It is the kind of book that you can not put down. I passed it around to a few of my colleaques; the book quickly became a pleasent read for them followed up by a request to forward the ISBN number to their email accounts. The author knows the crafts of both writing well and displaying the beauty of number theory. Lastly, the technical content is not watered down, the author maintains academic discipline while making anecdotal information available via side-bars. Otherwise, the inspired reader would have to track down a text on the history of mathematics to sort out the ‘story’ behind the insights. Instead it is “all” there for you to consider or mark for a later read.

⭐Our library purchased this book several years ago and it just today came to our attention that this is a very poorly photocopied copy of the book; many pages are illegible. Do not purchase the reprint softcover!

⭐

Keywords

Free Download Number Theory for Computing 2nd Edition in PDF format
Number Theory for Computing 2nd Edition PDF Free Download
Download Number Theory for Computing 2nd Edition 2002 PDF Free
Number Theory for Computing 2nd Edition 2002 PDF Free Download
Download Number Theory for Computing 2nd Edition PDF
Free Download Ebook Number Theory for Computing 2nd Edition