(electronic bk.)
(electronic bk.)
9789811663659
9811663653
9811663645
9789811663642
10.1007/978-981-16-6365-9
15131
(OCoLC)1285253078
(OCoLC)1285785245
انگلیسی
A first course in group theory /
Bijan Davvaz.
Singapore :
Springer,
2021.
291p.
Available to OhioLINK libraries.
Includes bibliographical references and index.
Preliminaries Notions -- Symmetries of Shapes -- Binary Operations -- Cyclic Groups -- Inverse Functions and Permutations -- Group of Arithmetical Functions -- Matrix Groups -- Translation and Scaling Matrices -- Cosets of Subgroups and Lagrange's Theorem -- Normal Subgroups and Factor Groups -- Some Special Subgroups -- Commutators and Derived Subgroups -- Maximal Subgroups -- Group Homomorphisms -- Homomorphisms and Their Properties -- Cayley's Theorem -- Another View of Linear Groups.
0
This textbook provides a readable account of the examples and fundamental results of groups from a theoretical and geometrical point of view. Topics on important examples of groups (like cyclic groups, permutation groups, group of arithmetical functions, matrix groups and linear groups), Lagrange's theorem, normal subgroups, factor groups, derived subgroup, homomorphism, isomorphism and automorphism of groups have been discussed in depth. Covering all major topics, this book is targeted to undergraduate students of mathematics with no prerequisite knowledge of the discussed topics. Each section ends with a set of worked-out problems and supplementary exercises to challenge the knowledge and ability of the reader.
9789811663642
(OCoLC)1264719224.
Group theory.
PBG
MAT002010
PBG
bicssc
bisacsh
thema
512/
.
2
23
QA174
.
2
.
D2
2021
Davvaz, Bijan.
Ohio Library and Information Network.
کتابخانه مرکزی و مرکز اطلاع رسانی دانشگاه
20231009040932.0
rda
A First Course in Group Theory-Springer (2021).pdf
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