Algebra and Number Theory : : A Selection of Highlights /

Algebra and Number Theory : : A Selection of Highlights / / Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Annika Schürenberg, Leonard Wienke.

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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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Superior document:Title is part of eBook package: De Gruyter DG Plus DeG Package 2023 Part 1
VerfasserIn:
Fine, Benjamin,
Moldenhauer, Anja,
Rosenberger, Gerhard,
Schürenberg, Annika,
Wienke, Leonard,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2023]
©2023
Year of Publication:2023
Edition:2nd, revised Edition
Language:English
Series:De Gruyter Textbook
Online Access:
Physical Description:1 online resource (X, 380 p.)
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245 1 0 |a Algebra and Number Theory :  |b A Selection of Highlights /  |c Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Annika Schürenberg, Leonard Wienke. 
250 |a 2nd, revised Edition 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2023] 
264 4 |c ©2023 
300 |a 1 online resource (X, 380 p.) 
336 |a text  |b txt  |2 rdacontent 
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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 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. 
530 |a Issued also in print. 
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 26. Apr 2024) 
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 
653 |a elementary number theory, polynomials, prime numbers, algebra. 
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 Schürenberg, Annika,   |e author.  |4 aut  |4 http://id.loc.gov/vocabulary/relators/aut 
700 1 |a Wienke, Leonard,   |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 Mathematics 2023 English  |z 9783111319209 
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