Zur Startseite gehen
0,00 €*
Cover: 9780387855240 | Elementary Number Theory: Primes, Congruences, and Secrets | Stein | X
Dekorationsartikel gehören nicht zum Leistungsumfang.
Elementary Number Theory: Primes, Congruences, and Secrets
A Computational Approach
Buch von William Stein
Sprache: Englisch

58,84 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Aktuell nicht verfügbar

Kategorien:
Beschreibung
This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover. It grew out of undergr- uate courses that the author taught at Harvard, UC San Diego, and the University of Washington. The systematic study of number theory was initiated around 300B. C. when Euclid proved that there are in?nitely many prime numbers, and also cleverly deduced the fundamental theorem of arithmetic, which asserts that every positive integer factors uniquely as a product of primes. Over a thousand years later (around 972A. D. ) Arab mathematicians formulated the congruent number problem that asks for a way to decide whether or not a given positive integer n is the area of a right triangle, all three of whose sides are rational numbers. Then another thousand years later (in 1976), Di?e and Hellman introduced the ?rst ever public-key cryptosystem, which enabled two people to communicate secretely over a public communications channel with no predeterminedsecret; this invention and the ones that followed it revolutionized the world of digital communication. In the 1980s and 1990s, elliptic curves revolutionized number theory, providing striking new insights into the congruent number problem, primality testing, publ- key cryptography, attacks on public-key systems, and playing a central role in Andrew Wiles¿ resolution of Fermat¿s Last Theorem.
This is a book about prime numbers, congruences, secret messages, and elliptic curves that you can read cover to cover. It grew out of undergr- uate courses that the author taught at Harvard, UC San Diego, and the University of Washington. The systematic study of number theory was initiated around 300B. C. when Euclid proved that there are in?nitely many prime numbers, and also cleverly deduced the fundamental theorem of arithmetic, which asserts that every positive integer factors uniquely as a product of primes. Over a thousand years later (around 972A. D. ) Arab mathematicians formulated the congruent number problem that asks for a way to decide whether or not a given positive integer n is the area of a right triangle, all three of whose sides are rational numbers. Then another thousand years later (in 1976), Di?e and Hellman introduced the ?rst ever public-key cryptosystem, which enabled two people to communicate secretely over a public communications channel with no predeterminedsecret; this invention and the ones that followed it revolutionized the world of digital communication. In the 1980s and 1990s, elliptic curves revolutionized number theory, providing striking new insights into the congruent number problem, primality testing, publ- key cryptography, attacks on public-key systems, and playing a central role in Andrew Wiles¿ resolution of Fermat¿s Last Theorem.
Zusammenfassung

This is a textbook about classical elementary number theory and elliptic curves. The first part discusses elementary topics such as primes, factorization, continued fractions, and quadratic forms, in the context of cryptography, computation, and deep open research problems. The second part is about elliptic curves, their applications to algorithmic problems, and their connections with problems in number theory. The intended audience of this book is an undergraduate with some familiarity with basic abstract algebra.

Inhaltsverzeichnis
Prime Numbers.- The Ring of Integers Modulo n.- Public-key Cryptography.- Quadratic Reciprocity.- Continued Fractions.- Elliptic Curves.
Details
Erscheinungsjahr: 2008
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Undergraduate Texts in Mathematics
Inhalt: x
168 S.
45 s/w Illustr.
168 p. 45 illus.
ISBN-13: 9780387855240
ISBN-10: 0387855246
Sprache: Englisch
Herstellernummer: 10950616
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Stein, William
Hersteller: Springer US
Springer New York
Springer US, New York, N.Y.
Undergraduate Texts in Mathematics
Maße: 241 x 160 x 16 mm
Von/Mit: William Stein
Erscheinungsdatum: 03.12.2008
Gewicht: 0,442 kg
Artikel-ID: 101734915
Zusammenfassung

This is a textbook about classical elementary number theory and elliptic curves. The first part discusses elementary topics such as primes, factorization, continued fractions, and quadratic forms, in the context of cryptography, computation, and deep open research problems. The second part is about elliptic curves, their applications to algorithmic problems, and their connections with problems in number theory. The intended audience of this book is an undergraduate with some familiarity with basic abstract algebra.

Inhaltsverzeichnis
Prime Numbers.- The Ring of Integers Modulo n.- Public-key Cryptography.- Quadratic Reciprocity.- Continued Fractions.- Elliptic Curves.
Details
Erscheinungsjahr: 2008
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Reihe: Undergraduate Texts in Mathematics
Inhalt: x
168 S.
45 s/w Illustr.
168 p. 45 illus.
ISBN-13: 9780387855240
ISBN-10: 0387855246
Sprache: Englisch
Herstellernummer: 10950616
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Stein, William
Hersteller: Springer US
Springer New York
Springer US, New York, N.Y.
Undergraduate Texts in Mathematics
Maße: 241 x 160 x 16 mm
Von/Mit: William Stein
Erscheinungsdatum: 03.12.2008
Gewicht: 0,442 kg
Artikel-ID: 101734915
Warnhinweis

Ähnliche Produkte

Ähnliche Produkte

Taschenbuch
Cover: 9783319008189 | An Introduction to the Kähler-Ricci Flow | Sebastien Boucksom (u. a.)
An Introduction to the Kähler-Ricci Flow
EAN: 9783319008189
Sprache: Englisch
Von/Mit: Sebastien Boucksom (u. a.)

80,60 €*

Lieferzeit 4-7 Werktage

Taschenbuch
Cover: 9783658031138 | Vektorbündel | Vom Möbius-Bündel bis zum J-Homomorphismus | Knapp
Vektorbündel
Vom Möbius-Bündel bis zum J-Homomorphismus
EAN: 9783658031138
Sprache: Deutsch
Von/Mit: Karlheinz Knapp

49,99 €*

Aktuell nicht verfügbar

Buch
Cover: 9783486254426 | Roulette | Claus Koken | Buch | HC runder Rücken kaschiert | 154 S.
Roulette
Computersimulation & Wahrscheinlichkeitsanalyse von Spiel und Strategien
EAN: 9783486254426
Sprache: Deutsch
Von/Mit: Claus Koken

109,95 €*

Aktuell nicht verfügbar

Buch
Cover: 9789400753440 | Differential Geometry and Mathematical Physics | Schmidt (u. a.) | XIV
Differential Geometry and Mathematical Physics
Part I. Manifolds, Lie Groups and Hamiltonian Systems
EAN: 9789400753440
Sprache: Englisch
Von/Mit: Matthias Schmidt (u. a.)

149,79 €*

Aktuell nicht verfügbar

Buch
Cover: 9783642192241 | A Royal Road to Algebraic Geometry | Audun Holme | Buch | Englisch
A Royal Road to Algebraic Geometry
EAN: 9783642192241
Sprache: Englisch
Von/Mit: Audun Holme

96,29 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9781911093428 | Geometric Patterns from Roman Mosaics: and How to Draw Them | Field
Geometric Patterns from Roman Mosaics: and How to Draw Them
EAN: 9781911093428
Sprache: Englisch
Von/Mit: Robert Field

12,95 €*

Lieferzeit 1-2 Wochen

Buch
Cover: 9783319645452 | The Moment Problem | Konrad Schmüdgen | Buch | xxiii | Englisch | 2017
The Moment Problem
EAN: 9783319645452
Sprache: Englisch
Von/Mit: Konrad Schmüdgen

86,45 €*

Lieferzeit 1-2 Wochen

Buch
Cover: 9789811665769 | Basic Topology 2 | Mahima Ranjan Adhikari (u. a.) | Buch | xxiv | 2022
Basic Topology 2
Topological Groups, Topology of Manifolds and Lie Groups
EAN: 9789811665769
Sprache: Englisch
Von/Mit: Mahima Ranjan Adhikari (u. a.)

61,95 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9780953981229 | Sharp, D: Perform with Time | David J. Sharp | Kartoniert / Broschiert
Sharp, D: Perform with Time
The One-to-one Coaching System for Success with Time
EAN: 9780953981229
Sprache: Englisch
Von/Mit: David J. Sharp

33,25 €*

Lieferzeit 1-2 Wochen

Diese Website verwendet Cookies, um eine bestmögliche Erfahrung bieten zu können. Mehr Informationen ...