000			02454nam a22003017a 4500
003			OSt
005			20241023201717.0
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020			_a9781493999149
040			_aNISER LIBRARY _beng _cNISER LIBRARY
041			_aEnglish
082			_a511.2 _bONO-I
100			_aOno, Takashi
245			_aIntroduction to algebraic number theory
260			_aJapan : _bSpringer, _c1990.
300			_axi, 223p. : _bill. ; _c24 cm.
490			_aThe University series in mathematics
500			_aTranslation of: Sūron josetsu.
504			_aIncludes bibliographical references (p. 216-220) and index.
520			_aThis book is a translation of my book Suron Josetsu (An Introduction to Number Theory), Second Edition, published by Shokabo, Tokyo, in 1988. The translation is faithful to the original globally but, taking advantage of my being the translator of my own book, I felt completely free to reform or deform the original locally everywhere. When I sent T. Tamagawa a copy of the First Edition of the original work two years ago, he immediately pointed out that I had skipped the discussion of the class numbers of real quadratic fields in terms of continued fractions and (in a letter dated 2/15/87) sketched his idea of treating continued fractions without writing explicitly continued fractions, an approach he had first presented in his number theory lectures at Yale some years ago. Although I did not follow his approach exactly, I added to this translation a section (Section 4. 9), which nevertheless fills the gap pointed out by Tamagawa. With this addition, the present book covers at least T. Takagi's Shoto Seisuron Kogi (Lectures on Elementary Number Theory), First Edition (Kyoritsu, 1931), which, in turn, covered at least Dirichlet's Vorlesungen. It is customary to assume basic concepts of algebra (up to, say, Galois theory) in writing a textbook of algebraic number theory. But I feel a little strange if I assume Galois theory and prove Gauss quadratic reciprocity.
650			_aAlgebraic number theory
650			_aGalois theory
650			_aAlgebra
650			_aNumber theory
856			_3Table of contents _uhttps://link.springer.com/content/pdf/bfm:978-1-4613-0573-6/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/79746472-an-introduction-to-algebraic-number-theory-university-series-in-mathema?ref=nav_sb_ss_1_13#CommunityReviews
942			_cBK _2udc
999			_c35330 _d35330