Algebra 2

Provides a concise and rigorous introduction to linear algebra

Includes a large number of motivating illustrations and challenging exercises

Is written by an expert with over 43 years of teaching experience of the subject

Provides a concise and rigorous introduction to linear algebra Includes a large number of motivating illustrations and challenging exercises Is written by an expert with over 43 years of teaching experience of the subject Includes supplementary material: sn.pub/extras

Auteur

RAMJI LAL is an adjunct professor at the Harish-Chandra Research Institute (HRI), Allahabad, Uttar Pradesh. He started his research career at the Tata Institute of Fundamental Research (TIFR), Mumbai, and served the University of Allahabad in different capacities for over 43 years: as a professor, head of the department and the coordinator of the DSA program. He was associated with HRI, where he initiated a postgraduate (PG) program in mathematics and coordinated the Nurture Program of National Board for Higher Mathematics (NBHM) from 1996 to 2000. After his retirement from the University of Allahabad, he was an advisor cum adjunct professor at the Indian Institute of Information Technology (IIIT), Allahabad for over three years. His areas of interest include group theory, algebraic K-theory and representation theory.

Contenu
Chapter 1 . Vector Space.- Chapter 2 . Matrices and Linear Equations.- Chapter 3 . Linear Transformations.- Chapter 4 . Inner Product Space.- Chapter 5 . Determinants and Forms.- Chapter 6 . Canonical Forms, Jordan and Rational Forms.- Chapter 7 . General Linear Algebra.- Chapter 8 . Field Theory, Galois Theory.- Chapter 9 . Representation Theory of Finite Groups .- Chapter 10 . Group Extensions and Schur Multiplier .