Introduction to Abstract Algebra , livre ebook

L. LI and K. ZHAO
Introduction to Abstract Algebra
Current Natural Sciences Current Natural Sciences
ABSTRACT ALGEBRA ABSTRACT ALGEBRA
Introduction to Abstract Algebra
Libin LI and Kaiming ZHAO
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
Libin LI and Kaiming ZHAO
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
Introduction to Abstract Algebra
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.
Kaiming ZHAO conducts teaching and research in the fields of
Lie algebra, Representation theory, Associative Algebra, Linear
Algebra, and Division Algebra. He is professor in Wilfrid Laurier
University, Canada since 2009.
ISBN : 978-2-7598-2915-6
www.edpsciences.org
9 782759 829156L. LI and K. ZHAO
Introduction to Abstract Algebra
Current Natural Sciences Current Natural Sciences
ABSTRACT ALGEBRA ABSTRACT ALGEBRA
Introduction to Abstract Algebra
Libin LI and Kaiming ZHAO
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
Libin LI and Kaiming ZHAO
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
Introduction to Abstract Algebra
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.
Kaiming ZHAO conducts teaching and research in the fields of
Lie algebra, Representation theory, Associative Algebra, Linear
Algebra, and Division Algebra. He is professor in Wilfrid Laurier
University, Canada since 2009.
ISBN : 978-2-7598-2915-6
www.edpsciences.org
9 782759 829156Current Natural Sciences
Libin LI and Kaiming ZHAO
Introduction to
Abstract AlgebraPrinted in France
EDP Sciences – ISBN(print): 978-2-7598-2915-6 – ISBN(ebook): 978-2-7598-2916-3
DOI: 10.1051/978-2-7598-2915-6
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The printed edition is not for sale in Chinese mainland. Customers in Chinese mainland
please order the print book from Science Press. ISBN of the China edition: Science Press
978-7-03-067958-1
� Science Press, EDP Sciences, 2022