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Unique approach to number theory?

It's rather daring to claim that a new book provides a "unique approach" to number theory, as does the blurb on Fine and Rosenberger's Number Theory: An Introduction via the Distribution of Primes. Immediately one thinks of previous more or less similar books, such as Tenenbaum and Mendès France's The Prime Numbers and Their Distribution, which used the same motivation to introduce congruences, quadratic reciprocity, and other standard number theory topics. To be fair, it's probably just the normal exaggeration of marketers and blurb-writers--Fine and Rosenberger in their preface more modestly mention the "somewhat unique approach" (and their bibliography cites Tenenbaum and Mendès France's book).

Number Theory: An Introduction via the Distribution of Primes, by Benjamin Fine and Gerhard Rosenberger. Boston: Birkhäuser, 2007. Mathematics Library QA241 .F56 2007 Link to MNCAT record

The Prime Numbers and Their Distribution, by Gérald Tenenbaum, Michel Mendès France; translated by Philip G. Spain. Student mathematical library v. 6. Providence, R.I.: American Mathematical Society, 2000. Mathematics Library QA246 .T3613 2000 Regular Loan Link to MNCAT record


There is an old phrase in
Swedish "ingen vidare",
which Walter Littman likes
to say means "no great shakes".
Well, as for a new approach to number theory,
this book is clearly
"ingen vidare". It's
an introductory book --
and subject to the
publisher's PR...