PirateBay Download | davvaz b first course group theory 2021

davvaz b first course group theory 2021

Type:: E-books
Files:: 1
Size:: 3.9 MB
Uploaded On:: Feb. 4, 2022, 8:36 a.m.
Added By:: andryold1
Seeders:: 1
Leechers:: 0
Info Hash:: 470F770F730B1A05F9BDC84EB978AAB5BF101D7E

Textbook in PDF format 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. Preface About the Author Notation Preliminaries Notions Sets and Equivalence Relations Functions Ordered Sets Combinatorial Analysis Divisibility and Prime Numbers Worked-Out Problems Supplementary Exercises Symmetries of Shapes Symmetry Translations Rotation Symmetries Mirror Reflection Symmetries Congruence Transformations Worked-Out Problems Supplementary Exercises Groups A Short History of Group Theory Binary Operations Semigroups and Monoids (Optional) Groups and Examples Turning Groups into Latin Squares (Optional) Subgroups Worked-Out Problems Supplementary Exercises Cyclic Groups Group of Integers Modulo n Cyclic Groups Generating Sets Worked-Out Problems Supplementary Exercises Permutation Groups Inverse Functions and Permutations Symmetric Groups Alternating Groups Worked-Out Problems Supplementary Exercises Group of Arithmetical Functions (Optional) Arithmetical Functions Dirichlet Product and Its Properties Multiplicative Functions Worked-Out Problems Supplementary Exercises Matrix Groups Introduction to Matrix Groups More About Vectors in mathbbRn Rotation Groups Reflections in mathbbR and mathbbR Translation and Scaling Matrices Dihedral Groups Quaternion Group Worked-Out Problems Supplementary Exercises Cosets of Subgroups and Lagrange's Theorem Cosets and Their Properties Geometric Examples of Cosets Lagrange's Theorem Index of Subgroups A Counting Principle and Double Cosets Worked-Out Problems Supplementary Exercises Normal Subgroups and Factor Groups Normal Subgroups Factor Groups Cauchy's Theorem and Class Equation Worked-Out Problems Supplementary Exercises Some Special Subgroups Commutators and Derived Subgroups Derived Subgroups of Some Special Groups Maximal Subgroups Worked-Out Problems Supplementary Exercises Group Homomorphisms Homomorphisms and Their Properties Isomorphism Theorems Cayley's Theorem Automorphisms Characteristic Subgroups Another View of Linear Groups Worked-Out Problems Supplementary Exercises Appendix References Index

Get This Torrent

Davvaz B. A First Course in Group Theory 2021.pdf 3.9 MB

Details for: Davvaz B. A First Course in Group Theory 2021

davvaz b first course group theory 2021

Similar Posts: