Algebra and Number Theory : : A Selection of Highlights / / Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Annika Schürenberg, Leonard Wienke.
In the two-volume set ‘A Selection of Highlights’ we present basics of mathematics in an exciting and pedagogically sound way. This volume examines fundamental results in Algebra and Number Theory along with their proofs and their history. In the second edition, we include additional material on per...
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2023] ©2023 |
| Year of Publication: | 2023 |
| Edition: | 2nd, revised Edition |
| Language: | English |
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| Physical Description: | 1 online resource (X, 380 p.) |
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Fine, Benjamin, author. aut http://id.loc.gov/vocabulary/relators/aut Algebra and Number Theory : A Selection of Highlights / Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Annika Schürenberg, Leonard Wienke. 2nd, revised Edition Berlin ; Boston : De Gruyter, [2023] ©2023 1 online resource (X, 380 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Textbook Frontmatter -- Preface -- Contents -- 1 The Natural, Integral, and Rational Numbers -- 2 Division and Factorization in the Integers -- 3 Modular Arithmetic -- 4 Exceptional Numbers -- 5 Pythagorean Triples and Sums of Squares -- 6 Polynomials and Unique Factorization -- 7 Field Extensions and Splitting Fields -- 8 Permutations and Symmetric Polynomials -- 9 Real Numbers -- 10 The Complex Numbers, the Fundamental Theorem of Algebra, and Polynomial Equations -- 11 Quadratic Number Fields and Pell’s Equation -- 12 Transcendental Numbers and the Numbers e and π -- 13 Compass and Straightedge Constructions and the Classical Problems -- 14 Euclidean Vector Spaces -- Bibliography -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star In the two-volume set ‘A Selection of Highlights’ we present basics of mathematics in an exciting and pedagogically sound way. This volume examines fundamental results in Algebra and Number Theory along with their proofs and their history. In the second edition, we include additional material on perfect and triangular numbers. We also added new sections on elementary Group Theory, p-adic numbers, and Galois Theory. A true collection of mathematical gems in Algebra and Number Theory, including the integers, the reals, and the complex numbers, along with beautiful results from Galois Theory and associated geometric applications. Valuable for lecturers, teachers and students of mathematics as well as for all who are mathematically interested. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 26. Apr 2024) Algebra. Number theory. Elementare Zahlentheorie. Galois-Theorie. Polynom. Primzahl. Zahlensystem. MATHEMATICS / Algebra / General. bisacsh elementary number theory, polynomials, prime numbers, algebra. Moldenhauer, Anja, author. aut http://id.loc.gov/vocabulary/relators/aut Rosenberger, Gerhard, author. aut http://id.loc.gov/vocabulary/relators/aut Schürenberg, Annika, author. aut http://id.loc.gov/vocabulary/relators/aut Wienke, Leonard, author. aut http://id.loc.gov/vocabulary/relators/aut Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1 9783111175782 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 English 9783111319292 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2023 9783111318912 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 English 9783111319209 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2023 9783111318608 ZDB-23-DMA EPUB 9783110790399 print 9783110789980 https://doi.org/10.1515/9783110790283 https://www.degruyter.com/isbn/9783110790283 Cover https://www.degruyter.com/document/cover/isbn/9783110790283/original |
| language |
English |
| format |
eBook |
| author |
Fine, Benjamin, Fine, Benjamin, Moldenhauer, Anja, Rosenberger, Gerhard, Schürenberg, Annika, Wienke, Leonard, |
| spellingShingle |
Fine, Benjamin, Fine, Benjamin, Moldenhauer, Anja, Rosenberger, Gerhard, Schürenberg, Annika, Wienke, Leonard, Algebra and Number Theory : A Selection of Highlights / De Gruyter Textbook Frontmatter -- Preface -- Contents -- 1 The Natural, Integral, and Rational Numbers -- 2 Division and Factorization in the Integers -- 3 Modular Arithmetic -- 4 Exceptional Numbers -- 5 Pythagorean Triples and Sums of Squares -- 6 Polynomials and Unique Factorization -- 7 Field Extensions and Splitting Fields -- 8 Permutations and Symmetric Polynomials -- 9 Real Numbers -- 10 The Complex Numbers, the Fundamental Theorem of Algebra, and Polynomial Equations -- 11 Quadratic Number Fields and Pell’s Equation -- 12 Transcendental Numbers and the Numbers e and π -- 13 Compass and Straightedge Constructions and the Classical Problems -- 14 Euclidean Vector Spaces -- Bibliography -- Index |
| author_facet |
Fine, Benjamin, Fine, Benjamin, Moldenhauer, Anja, Rosenberger, Gerhard, Schürenberg, Annika, Wienke, Leonard, Moldenhauer, Anja, Moldenhauer, Anja, Rosenberger, Gerhard, Rosenberger, Gerhard, Schürenberg, Annika, Schürenberg, Annika, Wienke, Leonard, Wienke, Leonard, |
| author_variant |
b f bf b f bf a m am g r gr a s as l w lw |
| author_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
| author2 |
Moldenhauer, Anja, Moldenhauer, Anja, Rosenberger, Gerhard, Rosenberger, Gerhard, Schürenberg, Annika, Schürenberg, Annika, Wienke, Leonard, Wienke, Leonard, |
| author2_variant |
a m am g r gr a s as l w lw |
| author2_role |
VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn VerfasserIn |
| author_sort |
Fine, Benjamin, |
| title |
Algebra and Number Theory : A Selection of Highlights / |
| title_sub |
A Selection of Highlights / |
| title_full |
Algebra and Number Theory : A Selection of Highlights / Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Annika Schürenberg, Leonard Wienke. |
| title_fullStr |
Algebra and Number Theory : A Selection of Highlights / Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Annika Schürenberg, Leonard Wienke. |
| title_full_unstemmed |
Algebra and Number Theory : A Selection of Highlights / Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Annika Schürenberg, Leonard Wienke. |
| title_auth |
Algebra and Number Theory : A Selection of Highlights / |
| title_alt |
Frontmatter -- Preface -- Contents -- 1 The Natural, Integral, and Rational Numbers -- 2 Division and Factorization in the Integers -- 3 Modular Arithmetic -- 4 Exceptional Numbers -- 5 Pythagorean Triples and Sums of Squares -- 6 Polynomials and Unique Factorization -- 7 Field Extensions and Splitting Fields -- 8 Permutations and Symmetric Polynomials -- 9 Real Numbers -- 10 The Complex Numbers, the Fundamental Theorem of Algebra, and Polynomial Equations -- 11 Quadratic Number Fields and Pell’s Equation -- 12 Transcendental Numbers and the Numbers e and π -- 13 Compass and Straightedge Constructions and the Classical Problems -- 14 Euclidean Vector Spaces -- Bibliography -- Index |
| title_new |
Algebra and Number Theory : |
| title_sort |
algebra and number theory : a selection of highlights / |
| series |
De Gruyter Textbook |
| series2 |
De Gruyter Textbook |
| publisher |
De Gruyter, |
| publishDate |
2023 |
| physical |
1 online resource (X, 380 p.) Issued also in print. |
| edition |
2nd, revised Edition |
| contents |
Frontmatter -- Preface -- Contents -- 1 The Natural, Integral, and Rational Numbers -- 2 Division and Factorization in the Integers -- 3 Modular Arithmetic -- 4 Exceptional Numbers -- 5 Pythagorean Triples and Sums of Squares -- 6 Polynomials and Unique Factorization -- 7 Field Extensions and Splitting Fields -- 8 Permutations and Symmetric Polynomials -- 9 Real Numbers -- 10 The Complex Numbers, the Fundamental Theorem of Algebra, and Polynomial Equations -- 11 Quadratic Number Fields and Pell’s Equation -- 12 Transcendental Numbers and the Numbers e and π -- 13 Compass and Straightedge Constructions and the Classical Problems -- 14 Euclidean Vector Spaces -- Bibliography -- Index |
| isbn |
9783110790283 9783111175782 9783111319292 9783111318912 9783111319209 9783111318608 9783110790399 9783110789980 |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA150 |
| callnumber-sort |
QA 3150 F56 42023 |
| url |
https://doi.org/10.1515/9783110790283 https://www.degruyter.com/isbn/9783110790283 https://www.degruyter.com/document/cover/isbn/9783110790283/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
512 - Algebra |
| dewey-full |
512 |
| dewey-sort |
3512 |
| dewey-raw |
512 |
| dewey-search |
512 |
| doi_str_mv |
10.1515/9783110790283 |
| oclc_num |
1408681323 |
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Algebra and Number Theory : A Selection of Highlights / |
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