Li / Zhao Introduction to Abstract Algebra

1. Auflage 2022
ISBN: 978-2-7598-2916-3
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 184 Seiten

Abstract algebra is an essential tool in algebra, number theory, geometry, topology, and, to a lesser extent, analysis. It is therefore a core requirement for all mathematics majors. Outside of mathematics, abstract algebra also has many applications in cryptography, coding theory, quantum chemistry, and physics.This book is intended as a textbook for a one-term senior undergraduate or gradate course in abstract algebra to prepare students for further readings on relevant subjects such as Group Theory and Galois Theory. Abstract algebra being the field of mathematics that studies algebraic structures such as groups, rings, fields, and modules, we will primarily study groups, rings, and fields in this book. The authors invite readers to experience the beauty of mathematics by studying Abstract algebra which offers not only opportunities to work on complex concepts and to develop one’s abstract reasoning abilities, but also a preliminary understanding of what it is like to do research in mathematics.Libin LI is professor at School of Mathematics, Yangzhou University in China. His research interests include Representation theory in Hopf algebras and Tensor category, Decoding theory and Ring theory, Weyl algebras and isomorphism problems, etc.

Autoren/Hrsg.

Li, Libin

Zhao, Kaiming

Fachgebiete

• Mathematik | Informatik Mathematik Algebra

Über Autor(innen)

Contributor: Libin Li Libin LI is professor at School of Mathematics,Yangzhou University in China. His research interests include Representation theoryin Hopf algebras and Tensor category, Decoding theory and Ring theory, Weylalgebras and isomorphism problems, etc. --- Contributor: Kaiming Zhao Kaiming ZHAO conducts teaching and research in thefields of Lie algebra, Representation theory, Associative Algebra, Linear Algebra,and Division Algebra. He is professor in Wilfrid Laurier University, Canadasince 2009.