Abstract Algebra English 2015

Appropriate for undergraduate courses, this third edition has new chapters on Galois Theory and Module Theory, new solved problems and additional exercises on group theory, boolean algebra and matrix theory. The text offers a systematic, elegant treatment of the main themes in abstract algebra. It begins with the fundamentals of set theory, basic algebraic structures such as groups and rings, and special classes of rings and domains, and then progresses to extension theory, vector space theory and finally the matrix theory. Students will develop an understanding of all essential results, such as the Cayley's theorem, the Lagrange's theorem, and the Isomorphism theorem. Examples are worked out in each chapter to aid understanding. Chapter-end exercises are designed to enhance the student's ability to further explore and interconnect various essential notions. As well as undergraduate students of mathematics, this text will be equally useful for the postgraduate students.