A Friendly Introduction to Number Theory (4th Edition) 4th Edition by Joseph H. Silverman (PDF)

Description

A Friendly Introduction to Number Theory, Fourth Edition is designed to introduce readers to the overall themes and methodology of mathematics through the detailed study of one particular facet—number theory. Starting with nothing more than basic high school algebra, readers are gradually led to the point of actively performing mathematical research while getting a glimpse of current mathematical frontiers. The writing is appropriate for the undergraduate audience and includes many numerical examples, which are analyzed for patterns and used to make conjectures. Emphasis is on the methods used for proving theorems rather than on specific results.

User’s Reviews

Editorial Reviews: About the Author Joseph H. Silverman is a Professor of Mathematics at Brown University. He received his Sc.B. at Brown and his Ph.D. at Harvard, after which he held positions at MIT and Boston University before joining the Brown faculty in 1988. He has published more than 100 peer-reviewed research articles and seven books in the fields of number theory, elliptic curves, arithmetic geometry, arithmetic dynamical systems, and cryptography. He is a highly regarded teacher, having won teaching awards from Brown University and the Mathematical Association of America, as well as a Steele Prize for Mathematical Exposition from the American Mathematical Society. He has supervised the theses of more than 25 Ph.D. students, is a co-founder of NTRU Cryptosystems, Inc., and has served as an elected member of the American Mathematical Society Council and Executive Committee.

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

⭐I knew the content of first 100 pages before purchase, as I had access to this book from different sources before. It is a very readable text on a rather abstract mathematical subject at the beginner’s level.But I am gravely disappointed by the fact that the paperback version (Pearson; 4th edition) is printed on a newspaper quality paper, probably the lowest grade possible. Quite a disappointment for a book at this price. I never had a textbook printed on paper that poor (I had some investigative journalism books or budged classic novels printed like that, but they were for for 10 bucks each).

⭐I would expect that anyone curious enough about number theory to look up this book would likely have enough background in math to follow this text. It doesn’t require much knowledge beyond algebra, but it does require algebra. I took a college course in number theory and this was the text. I have found it to be an easy read, only requiring a few visits to Wolfram Alpha to clarify some background knowledge. The style and organization of the book reflects an appreciation for the creativity involved in math and number theory.

⭐it delightfully met my expectations. he takes your hand and leads you thru the whole book. what a delight, considering I bought some dover books from here on the same subject that promised to be introductory but were far from it.

⭐The book is falling apart after I opened the book for the firs time. Hoping that it stays in tact for a few months of use..

⭐The book is a bit too technical, but whatever

⭐A well-structured guide for a beginner to Number Theory.

⭐Bought the book for a university class. From what I have read so far, it’s a good book. It’s well written and easy to follow.

⭐Really difficult to understand really couldn’t count on it for too much. Mostly used it for the problems and got outside resources to understand the concepts.

⭐Definitely a great starting point for a gifted high schooler, or undergrad starting with number theory. Material is explained well, with contextual anecdotes and examples included. It is not so “wishy-washy” that it keeps some more difficult concepts from you, but also won’t throw you into the deep end. That being said, a more advanced text is recommended after you read this one — but as the title says “A friendly intro…”, and it delivers on that promise.

⭐Organized logically from the standpoint of the non math person. Leads you gently into the world of natural numbers. The text is easy to read and straight forward. It could benefit with a few more examples but generally is good for an introductory text for those requiring a basic grounding in number theory, such as in an elementary teacher training program.

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