Algebra 1

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

Chapter 1. Language of mathematics 1 (Logic).- Chapter 2. Language Of Mathematics 2 (Set Theory).- Chapter 3. Number System.- Chapter 4. Group Theory.- Chapter 5. Fundamental Theorems.- Chapter 6. Permutation groups and Classical Groups.- Chapter 7. Elementary Theory of Rings and Fields.- Chapter 8. Number Theory 2.- Chapter 9. Structure theory of groups.- Chapter 10. Structure theory continued.- Chapter 11. Arithmetic in Rings.