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A Classical Introduction to Modern Number Theory Hardcover – Aug 1 1998


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Product Details

  • Hardcover: 394 pages
  • Publisher: Springer; 2nd ed. 1990. Corr. 5th printing 1998 edition (Aug. 1 1998)
  • Language: English
  • ISBN-10: 038797329X
  • ISBN-13: 978-0387973296
  • Product Dimensions: 2.5 x 15.4 x 23 cm
  • Shipping Weight: 567 g
  • Average Customer Review: 4.3 out of 5 stars  See all reviews (6 customer reviews)
  • Amazon Bestsellers Rank: #170,380 in Books (See Top 100 in Books)
  • See Complete Table of Contents


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First Sentence
As a first approximation, number theory may be defined as the study of the natural numbers 1, 2, 3, 4, . . . . Read the first page
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2 of 2 people found the following review helpful By A Customer on July 3 1999
Format: Hardcover
The unfortunate thing about these Amazon reviews is that anyone can write a review, regardless of their credentials. I am a ex-philosopher who took to mathematics, and now I am a mathematician. The review of kwirtheery demonstrates, on the other hand, that he is a philosopher (allegedly) who does not know a single thing about mathematics. The thing is, I actually understand kwirtheery's language, but I also understand the language of mathematics. The same can't be said of K. His comment about the zeta function is obtuse and irrelevant. His comments are aimed not at all to the concerned book, but to mathematics in general which he does not know a thing about. I give the book 5 stars, and K's review a 0. Talk about something you know about, K., otherwise keep your "opinion" to yourself.
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Format: Hardcover
I have devoted a good portion of my life to the study of mathematics in general, especially algebra and number theory. This book is an extraordinary reference to many areas of number theory and extremely approachable. The book can be studied on its own or as a companion piece to more specialized texts such as Marcus's Number Fields.
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By A Customer on May 26 2003
Format: Hardcover
I picked up this book as a junior in college and was simply stunned. The flow of ideas is so natural that there are times when you can even read the book like a novel. The exposition is clean, and the proofs are elegant.
However, keep in mind that this book IS a GTM. Hence, it requires pre-requisites by way of approximately a year of abstract algebra. As the author says in the preface, it's possible to read a the first 11 chapters without it. However, to appreciate the beauty of the theory, I would sincerely recommend algebra as pre-req.
The first 12 chapters can be considered 'elementary' (not easy, just fundamental). The others are specialized algebraic topics. For instance, the chapter on elliptic curves is useful to get a flavor of the subject. However, it includes very few proofs.
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