Khanna And Bhambri Abstract Algebra Book PDF Download Free 2022

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Download Khanna And Bhambri Abstract Algebra Book PDF For Free

Khanna And Bhambri Abstract Algebra Book PDF Download Free

In this post you will be get access to download the Khanna And Bhambri Abstract Algebra Book in the pdf format for free , you do not have to pay a single penny for it . Then read the full post and get this book for free . Now the Khanna And Bhambri Abstract Algebra Book given below with Download link, table of contents and some the pdf detalis of the books.

This edition  of  Course in Abstract Algebra book is specially Designed for undergraduate and postgraduate students of mathematics, the book can also be used by those preparing for various competitive examinations. The text starts with a short introduction to results from pure mathematics and variety theory. It then goes on to hide teams, rings, vector areas (Linear Algebra) and fields. The topics below teams embody subgroups, permutation teams, finite abelian teams, Sylow theorems, direct product, cluster actions, soluble and digit teams. The course in Ring theory covers ideals, embedding of rings, geometer domains, PIDs, UFDs, polynomial rings, irreducibility criteria, Noetherian rings.

The section on vector areas deals with linear transformations, dot product areas, twin areas, Eigen areas, square matrix operators etc. below fields, pure mathematics extensions, ripping fields, traditional and divisible extensions, algebraically closed fields, Evariste Galois extensions and construction by ruler and compass are concisely mentioned during this book. the idea has been powerfully supported by varied examples and discovered issues. So , if   you  are  interested   in this  book  and  also want to download   it  in  the  pdf  format    then   scroll  down  and   click on the ” DOWNLOAD HERE ” Picture / Button , you will  redirect to  my drive   then you  can easily download  it  from there. 

So, Now follow thw post to get the PDF of the book without paying any charge and enhance your preperation …

Khanna And Bhambri Abstract Algebra table of Contents

CHAPTERS

01. Pliminarries
      Sets
      Subsets
      Relations
      Equivalence Classes
      Mappings or Functions
      Equality of Mappings
      Composition of Mappings
      Binary Compositions
      Permutations
      Cyclic Permutations
      Cycles of a Permutation
      Disjoint Permutations
      Some Results From Number Theory
      The Greatest Common Divisor
      Prime Numbers
      Composite Numbers
      Congruences
      Chinese Remainder Theorem

02. Groups
       Subgroups
       Cyclic Groups

03. Normal Subgroups, Homomprphisms, Permutation Groups
       Quotient Groups
       Homomorphisms – Isomorphisms
       The Dihedral Groups
       Permutation Groups
       Generators of a Subgroup
       Cummutator

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04. Automorphisms and Conjugate Elements
       Inner Automorphism
       Characteristic Subgroups
       Conjugate Elements
       Similar Permutations
       Partition of Integer

05. Sylow Theorem and Direct Products
       Sylow p-subgroups
       Double Cosets
       Sylow Groups in Spk
       Direct Products
       Finite Abelian Groups

06. Group Actions, Solvable and  Nilpotent  Groups
       Group Actions
       Normal Series
       Solvable Groups
       Nilpotent Groups

07. Rings
      Subrings
      Sum of Two Subrings
      Characteristic of a Ring
      Product of Rings
      Ideals
      Sum of Ideals
      Product of Ideals

08. Homomorphisms and Embedding  of Rings
      Quotient Rings
      Homomorphisms
      Embedding of Rings
      More on Ideals
      Maximal Ideals

09. Euclidean and Factorization Domains
      Euclidean Domains
      Prime and Irreducible Elements
      Polynomial Rings
      Greatest Common Divisor
      Unique Factorization Domains
      Noetherian Rings

10. Vector Space
       Subspaces
       Sum of Subspaces
       Quotient Spaces
       Homomorphisms or Linear Transformations
       Linear Span
       Linear Dependence and Independence
       Inner Product Spaces
       Norm of a Vector
       Orthogonality
      Orthonormal Set

11. Linear Transformations
      Algebra of Linear Transformations
      Invertible Linear Transformations
      Matrix of a Linear Transformation
      Dual Spaces
      Transpose of a Linear Transformation

12. Eigen values and  Eigen Vectors
      Characteristic Polynomials
      Characteristic Polynomial of a Linear Operator
      Minimal Polynomials
      Diagonalizable Operators
      Primary Decomposition Theorem
      Invariant Subspaces
      Cyclic Subspaces
      Projections

13. Fields
      Algebraic Extensions
      Roots of Polynomials
      Splitting Fields

14. More on Fields
      Prime Subfields
      Separable Extensions
      Normal Extensions
      Algebraically Closed Fields and Algebraic Closure
      Automorphisms of Field Extensions
      Galois Extensions
      Roots of Unity
      Finite Fields
      Ruler and Compass Constructions

Index

ABOUT AUTHORS Vijay K Khanna and S K Bhambri

Dr Vijay K Khanna was a teacher who taught UG and PG students of  Kirori Mal College ( under the University of Delhi ) for about 43 years . He was also a part of some other publications which  include Lattices & Boolean Algebras, Solid Geometry and Business Mathematics which was all published by Vikas.

Dr S K Bhambri was also a teacher of  Kirori Mal Collegez( under the  University of Delhi) having a teaching experience of 42 years  . He is co-author of Business Mathematics which is  published by Vikas.

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》 BOOK DETAILS 

Book nameA course in Abstract Algebra
AuthorsR K Pathria
Useful forB.Sc / M.Sc / Ph.D / etc..
LanguageEnglish
Total Pages789 Pages
FormatPdf
File size12.80 MB
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