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Produktbild: A Classical Introduction to Modern Number Theory
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A Classical Introduction to Modern Number Theory

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Beschreibung

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

01.12.2010

Abbildungen

XIV, 394 p.

Verlag

Springer Us

Seitenzahl

394

Maße (L/B/H)

23,5/15,5/2,3 cm

Gewicht

622 g

Auflage

Second Edition 1990

Sprache

Englisch

ISBN

978-1-4419-3094-1

Beschreibung

Rezension

From the reviews of the second edition:


K. Ireland and M. Rosen


A Classical Introduction to Modern Number Theory


"Many mathematicians of this generation have reached the frontiers of research without having a good sense of the history of their subject. In number theory this historical ignorance is being alleviated by a number of fine recent books. This work stands among them as a unique and valuable contribution."


— MATHEMATICAL REVIEWS


"This is a great book, one that does exactly what it proposes to do, and does it well. For me, this is the go-to book whenever a student wants to do an advanced independent study project in number theory. … for a student who wants to get started on the subject and has taken a basic course on elementary number theory and the standard abstract algebra course, this is perfect." (Fernando Q. Gouvêa, MathDL, January, 2006)

Produktdetails

Einband

Taschenbuch

Erscheinungsdatum

01.12.2010

Abbildungen

XIV, 394 p.

Verlag

Springer Us

Seitenzahl

394

Maße (L/B/H)

23,5/15,5/2,3 cm

Gewicht

622 g

Auflage

Second Edition 1990

Sprache

Englisch

ISBN

978-1-4419-3094-1

Herstelleradresse

Springer-Verlag KG
Sachsenplatz 4-6
1201 Wien
AT

Email: ProductSafety@springernature.com

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  • Produktbild: A Classical Introduction to Modern Number Theory
  • 1 Unique Factorization.- 2 Applications of Unique Factorization.- 3 Congruence.- 4 The Structure of U(?/n?).- 5 Quadratic Reciprocity.- 6 Quadratic Gauss Sums.- 7 Finite Fields.- 8 Gauss and Jacobi Sums.- 9 Cubic and Biquadratic Reciprocity.- 10 Equations over Finite Fields.- 11 The Zeta Function.- 12 Algebraic Number Theory.- 13 Quadratic and Cyclotomic Fields.- 14 The Stickelberger Relation and the Eisenstein Reciprocity Law.- 15 Bernoulli Numbers.- 16 Dirichlet L-functions.- 17 Diophantine Equations.- 18 Elliptic Curves.- 19 The Mordell-Weil Theorem.- 20 New Progress in Arithmetic Geometry.- Selected Hints for the Exercises.