Algebra and Number Theory

A Selection of Highlights

Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger , Annika Schürenberg

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English

De Gruyter
21 August 2023

Algebra; Number theory

Series: De Gruyter Textbook

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.

By: Benjamin Fine, Anja Moldenhauer, Gerhard Rosenberger, Annika Schürenberg, Leonard Wienke
Imprint: De Gruyter
Country of Publication: Germany
Edition: 2nd, revised Edition
Dimensions: Height: 240mm, Width: 170mm,
Weight: 654g
ISBN: 9783110789980
ISBN 10: 3110789981
Series: De Gruyter Textbook
Pages: 390
Publication Date: 21 August 2023
Audience: College/higher education , Primary
Format: Paperback
Publisher's Status: Active

Ben Fine was a Professor of Mathematics and Statistics at Fairfield University. He received his Ph.D. from Courant Institute in 1973. He had visiting positions at Yale University, University of California, NYU and TU Dortmund. Anja Moldenhauer received her Ph.D. from the University of Hamburg. Her research focus lies on Mathematical Cryptology using Combinatorial Group Theory. Since 2017 she is working as a data scientist. Gerhard Rosenberger did his doctorate in Analytic Number Theory and habilitated in Combinatorial Group Theory. Worldwide he has worked for longer terms at nine universities. At present he is at the University of Hamburg. Annika Schürenberg studied Mathematics, Physics and German and received her teaching degree from the University of Hamburg. Since 2020 she is working as a teacher at an elementary school. Leonard Wienke received his master degree from the University of Hamburg and is currently a Ph.D. student at the University of Bremen. His research focus lies on Combinatorial Algebraic Topology.