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About the Author
Qazi Zameeruddin :- Qazi Zameeruddin taught at the Department of Mathematics, Kirori Mal College, University of Delhi, and co-authored ´Modern Algebra´ and ´Solid Geometry´ published by Vikas.Surjeet Singh :- Prof Surjeet Singh started his teaching career as an assistant lecturer in Mathematics at Kirori Mal College, Delhi in 1963. After his Ph.D. from the University of Delhi in 1969, he joined Aligarh Muslim University as Reader in Mathematics, where he taught up to 1975. During his stay there he supervised a number of students for their Ph.D. He became the professor and head of Department of Mathematics at Guru Nanak Dev University, Amritsar in 1975 and worked there up to 1979. Thereafter, he moved to Kuwait University at Kuwait, and after 18 years, he joined King Saud University, Riyadh, Saudi Arabia where he taught up to 2005. During his career, he held visiting assignments at Ohio University, USA, University of Montreal and McMaster University, Canada, and Panjab University, Chandigarh. More than 85 of his research papers on ring theory have been published in international journals of repute. He has also authored a book on Linear Algebra published by Vikas.
About the Book
For more than thirty years Modern Algebra has served the student community as a textbook for introductory courses on the subject. The book starts from set theory and covers an advanced course in group theory and ring theory. A detailed study of field theory and its application to geometry is undertaken after a brief and concise account of vector spaces and linear transformations. The last chapter discusses ring with chain conditions and [email protected] famous theorem.
The Eighth Edition is a distinctly improved version of the book incorporating new developments and thinking in the subject. Presentation of the subject matter has been vastly modified. Many results have been re-arranged, and the proofs of many results rewritten. Some more examples have been significant improvements have been made in presenting permutation groups, survey of some groups significant improvements have been made in presenting permutation groups, survey of some groups Galois extensions of fields more results have been added. A proof of the fundamental theorem of Galois extensions of fields more results have been added. A proof of the fundamental theorem of algebra has been included. In the theory of single linear transformation on a vector space, proofs of the results have been written with more details. Some results on diagonalization of matrices have also been added. The book is targeted to undergraduate and postgraduate levels.
• Set Theory • Groups • Quotient Groups • Homomorphisms and Permutations • Structure Theory of Groups • Solvable Groups and Jordan-Holder Theorem • Survey of Some Finite Groups • Rings • Homomorphisms and Embedding of Rings • Polynomial Rings • Factorization Theory in Integral Domains • Vector Spaces • Linear Transformations • Fields • Galois Theory • Rings with Chain Conditions • Canonical Forms • Bibliography • Index