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Algebraic Theory of Quadratic Numbers
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Algebraic Theory of Quadratic Numbers Paperback - 2013

by Mak Trifkovic

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Reader reviews for Algebraic Theory of Quadratic Numbers

From the rear cover

By focusing on quadratic numbers, this advanced undergraduate or master's level textbook on algebraic number theory is accessible even to students who have yet to learn Galois theory. The techniques of elementary arithmetic, ring theory and linear algebra are shown working together to prove important theorems, such as the unique factorization of ideals and the finiteness of the ideal class group. The book concludes with two topics particular to quadratic fields: continued fractions and quadratic forms. The treatment of quadratic forms is somewhat more advanced than usual, with an emphasis on their connection with ideal classes and a discussion of Bhargava cubes.

The numerous exercises in the text offer the reader hands-on computational experience with elements and ideals in quadratic number fields. The reader is also asked to fill in the details of proofs and develop extra topics, like the theory of orders. Prerequisites include elementary number theory and a basic familiarity with ring theory.

Details

  • Title Algebraic Theory of Quadratic Numbers
  • Author Mak Trifkovic
  • Binding Paperback
  • Pages 197
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Publication date 2013-09-14
  • Illustrated Yes
  • Features Bibliography, Illustrated, Index
  • ISBN 9781461477167 / 1461477166
  • Weight 0.67 lbs (0.30 kg)
  • Dimensions 9.21 x 6.14 x 0.45 in (23.39 x 15.60 x 1.14 cm)
  • Category Mathematics
  • Library of Congress subjects Algebraic number theory
  • Library of Congress Catalogue Number 2013941873
  • Dewey Decimal Code 512.74

Media reviews

Citations

  • Choice, 05/01/2014, Page 0

About the author

Mak Trifkovic is an assistant professor of mathematics at the University of Victoria.

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Algebraic Theory of Quadratic Numbers
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Algebraic Theory of Quadratic Numbers

by Trifkovic, Mak

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New York, NY: Springer Science+Business Media, 2013. First Edition. Softcover. Fine. 8vo (9.25”x6”). 197pp. Glossy illustrated wraps. Both the wrappers and text block are tidy and unmarked.
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Algebraic Theory of Quadratic Numbers

Algebraic Theory of Quadratic Numbers

by Mak Trifković

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Paperback. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; By focusing on quadratic numbers, this advanced undergraduate or master's level textbook on algebraic number theory is accessible even to students who have yet to learn Galois theory. The techniques of elementary arithmetic, ring theory
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Algebraic Theory of Quadratic Numbers

Algebraic Theory of Quadratic Numbers

by Mak Trifkovic

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Paperback / softback. New. This book shows the techniques of elementary arithmetic, ring theory and linear algebra working together to prove important theorems, such as the unique factorization of ideals and the finiteness of the ideal class group. Includes numerous exercises.
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Algebraic Theory Of Quadratic Numbers
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Algebraic Theory Of Quadratic Numbers

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Algebraic Theory of Quadratic Numbers
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Algebraic Theory of Quadratic Numbers

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Springer Verlag, 2014. Paperback. New. 197 pages. 9.00x6.00x0.50 inches.
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Algebraic Theory Of Quadratic Numbers
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Algebraic Theory Of Quadratic Numbers

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Algebraic Theory of Quadratic Numbers
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Algebraic Theory of Quadratic Numbers

by Mak Trifković

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