Algebra and Number Theory : : A Selection of Highlights /

Algebra and Number Theory : : A Selection of Highlights / / Benjamin Fine, Anthony Gaglione, Anja Moldenhauer, Gerhard Rosenberger, Dennis Spellman.

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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. ContentsThe natural, integral and r...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus eBook-Package 2017
VerfasserIn:
Fine, Benjamin,
Gaglione, Anthony,
Moldenhauer, Anja,
Rosenberger, Gerhard,
Spellman, Dennis,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2017]
©2017
Year of Publication:2017
Language:English
Series:De Gruyter Textbook
Online Access:
Physical Description:1 online resource (X, 332 p.)
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100 1 |a Fine, Benjamin,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
245 1 0 |a Algebra and Number Theory :  |b A Selection of Highlights /  |c Benjamin Fine, Anthony Gaglione, Anja Moldenhauer, Gerhard Rosenberger, Dennis Spellman. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2017] 
264 4 |c ©2017 
300 |a 1 online resource (X, 332 p.) 
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490 0 |a De Gruyter Textbook 
505 0 0 |t Frontmatter --   |t Preface --   |t Contents --   |t 1. The natural, integral and rational numbers --   |t 2. Division and factorization in the integers --   |t 3. Modular arithmetic --   |t 4. Exceptional numbers --   |t 5. Pythagorean triples and sums of squares --   |t 6. Polynomials and unique factorization --   |t 7. Field extensions and splitting fields --   |t 8. Permutations and symmetric polynomials --   |t 9. Real numbers --   |t 10. The complex numbers, the Fundamental Theorem of Algebra and polynomial equations --   |t 11. Quadratic number fields and Pell’s equation --   |t 12. Transcendental numbers and the numbers e and π --   |t 13. Compass and straightedge constructions and the classical problems --   |t 14. Euclidean vector spaces --   |t Bibliography --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
520 |a 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. ContentsThe natural, integral and rational numbersDivision and factorization in the integersModular arithmeticExceptional numbersPythagorean triples and sums of squaresPolynomials and unique factorizationField extensions and splitting fieldsPermutations and symmetric polynomialsReal numbersThe complex numbers, the Fundamental Theorem of Algebra and polynomial equationsQuadratic number fields and Pell’s equationTranscendental numbers and the numbers e and πCompass and straightedge constructions and the classical problemsEuclidean vector spaces 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) 
650 0 |a Algebra. 
650 0 |a Number theory. 
650 4 |a Elementare Zahlentheorie. 
650 4 |a Galois-Theorie. 
650 4 |a Polynom. 
650 4 |a Primzahl. 
650 4 |a Zahlensystem. 
650 7 |a MATHEMATICS / Algebra / General.  |2 bisacsh 
700 1 |a Gaglione, Anthony,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Moldenhauer, Anja,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Rosenberger, Gerhard,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Spellman, Dennis,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
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773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t EBOOK PACKAGE COMPLETE ENGLISH 2017  |z 9783110625264 
773 0 8 |i Title is part of eBook package:  |d De Gruyter  |t EBOOK PACKAGE Mathematics 2017  |z 9783110548204  |o ZDB-23-DMA 
776 0 |c EPUB  |z 9783110516265 
776 0 |c print  |z 9783110515848 
856 4 0 |u https://doi.org/10.1515/9783110516142 
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912 |a 978-3-11-071954-3 DG Plus eBook-Package 2017  |b 2017 
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