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Eine klassische Einführung in die moderne Zahlentheorie von Michael Rosen (Englisch) hart
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eBay-Artikelnr.:388792516623
Artikelmerkmale
- Artikelzustand
- ISBN-13
- 9780387973296
- Book Title
- A Classical Introduction to Modern Number Theory
- ISBN
- 9780387973296
Über dieses Produkt
Product Identifiers
Publisher
Springer New York
ISBN-10
038797329X
ISBN-13
9780387973296
eBay Product ID (ePID)
10069207293
Product Key Features
Number of Pages
Xiv, 394 Pages
Publication Name
Classical Introduction to Modern Number Theory
Language
English
Publication Year
1990
Subject
Number Theory
Features
Revised
Type
Textbook
Subject Area
Mathematics
Series
Graduate Texts in Mathematics Ser.
Format
Hardcover
Dimensions
Item Weight
28.8 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Edition Number
2
Intended Audience
Scholarly & Professional
LCCN
90-009848
TitleLeading
A
Dewey Edition
20
Reviews
From the reviews of the second edition:K. Ireland and M. RosenA 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." â€� 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. Gouv a, MathDL, January, 2006), 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), 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), 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." a? 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. a? 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. Gouv'a, MathDL, January, 2006)
Series Volume Number
84
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
512.7
Edition Description
Revised edition
Table Of Content
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.
Synopsis
Bridging the gap between elementary number theory and the systematic study of advanced topics, A Classical Introduction to Modern Number Theory is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical development is stressed throughout, along with wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. An extensive bibliography and many challenging exercises are also included. This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordell-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves., A CLASSICAL INTRODUCTION TO MODERN NUMBER THEORY is a well-developed and accessible text that requires only a familiarity with basic abstract algebra. Historical developement is stressed throughout, along with wide-ranging coverage of significant results with comparitively elementary proofs, some of them new. This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordel-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curves., This well-developed, accessible text details the historical development of the subject throughout. It also provides wide-ranging coverage of significant results with comparatively elementary proofs, some of them new. This second edition contains two new chapters that provide a complete proof of the Mordel-Weil theorem for elliptic curves over the rational numbers and an overview of recent progress on the arithmetic of elliptic curves.
LC Classification Number
QA241-247.5
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grandeagleretail
98,2% positive Bewertungen•2.8 Mio. Artikel verkauft
Angemeldet als gewerblicher Verkäufer
Verkäuferbewertungen (1'056'389)
- j***e (101)- Bewertung vom Käufer.Letzter MonatBestätigter KaufPerfect new condition. Thank you
- o***p (1268)- Bewertung vom Käufer.Letzter MonatBestätigter KaufThey had me worried but the book arrived eventually.
- 0***0 (65)- Bewertung vom Käufer.Letzter MonatBestätigter KaufExcellent service and a great book to read!