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Algebra and Number Theory
A Selection of Highlights
Sprache: Englisch

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Beschreibung
This two-volume set collects and presents some fundamentals of mathematics in an entertaining and performing manner. The present volume examines many of the most important basic results in algebra and number theory, along with their proofs, and also their history.

Contents
The natural, integral and rational numbers
Division and factorization in the integers
Modular arithmetic
Exceptional numbers
Pythagorean triples and sums of squares
Polynomials and unique factorization
Field extensions and splitting fields
Permutations and symmetric polynomials
Real numbers
The complex numbers, the Fundamental Theorem of Algebra and polynomial equations
Quadratic number fields and Pell s equation
Transcendental numbers and the numbers e and
Compass and straightedge constructions and the classical problems
Euclidean vector spaces

This two-volume set collects and presents some fundamentals of mathematics in an entertaining and performing manner. The present volume examines many of the most important basic results in algebra and number theory, along with their proofs, and also their history.

Contents
The natural, integral and rational numbers
Division and factorization in the integers
Modular arithmetic
Exceptional numbers
Pythagorean triples and sums of squares
Polynomials and unique factorization
Field extensions and splitting fields
Permutations and symmetric polynomials
Real numbers
The complex numbers, the Fundamental Theorem of Algebra and polynomial equations
Quadratic number fields and Pell s equation
Transcendental numbers and the numbers e and
Compass and straightedge constructions and the classical problems
Euclidean vector spaces

Details
Erscheinungsjahr: 2017
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 332
ISBN-13: 9783110515848
ISBN-10: 3110515849
Sprache: Englisch
Ausstattung / Beilage: Großformatiges Paperback. Klappenbroschur
Hersteller: De Gruyter
Abbildungen: 10 b/w ill.
Maße: 18 x 170 x 240 mm
Erscheinungsdatum: 15.09.2017
Gewicht: 0,582 kg
preigu-id: 109724722
Details
Erscheinungsjahr: 2017
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 332
ISBN-13: 9783110515848
ISBN-10: 3110515849
Sprache: Englisch
Ausstattung / Beilage: Großformatiges Paperback. Klappenbroschur
Hersteller: De Gruyter
Abbildungen: 10 b/w ill.
Maße: 18 x 170 x 240 mm
Erscheinungsdatum: 15.09.2017
Gewicht: 0,582 kg
preigu-id: 109724722
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