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

• 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
• Physical Description: 1 online resource (X, 380 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110790283; 9783111175782; 9783111319292; 9783111318912; 9783111319209; 9783111318608
• DOI: 10.1515/9783110790283
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: 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 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.