Precize Algebra 2 for MSc Mathematics is a meticulously structured book designed for postgraduate students pursuing MSc Mathematics at Panjab University, Chandigarh. Authored by Dr. G.S. Sandhu, this book provides an in-depth exploration of advanced algebraic concepts, aligning perfectly with the prescribed syllabus. It serves as an essential resource for mastering topics such as factorization theory in integral domains, Noetherian and Artinian rings, modules and vector spaces, and finitely generated modules over principal ideal domains (PIDs).
The book is tailored to meet the academic requirements of Math 622S: Algebra II, ensuring comprehensive coverage of Unit-I and Unit-II as per the latest syllabus. It includes detailed proofs, illustrative examples, and a structured approach to help students grasp complex algebraic structures with ease. Additionally, the book features multiple-choice questions (MCQs) for UGC NET preparation, making it a valuable asset for competitive examinations.
Key Features:
1. Syllabus-Oriented Content: Strictly follows the Panjab University MSc Mathematics syllabus, ensuring relevance for exams.
2. Comprehensive Coverage: Includes topics like UFDs, PIDs, Euclidean domains, Noetherian and Artinian rings, modules, Smith normal form, and rational canonical form.
3. Theoretical & Practical Approach: Combines rigorous mathematical proofs with real-world applications in algebra.
4. MCQs for UGC NET: Helps students prepare for competitive exams with practice questions.
5. Clear & Structured Presentation: Chapters are systematically organized for easy understanding and quick revision.
6 Ideal for Self-Study: Includes solved examples, exercises, and key definitions for independent learning.
Who Should Buy This Book?
1. MSc Mathematics students at Panjab University, Chandigarh, and other universities with similar syllabi.
2. UGC NET/JRF aspirants looking for algebra practice questions.
3. Researchers and educators in abstract algebra and ring theory.
4. Mathematics enthusiasts seeking a structured reference book on advanced algebra.
Why Choose This Book?
This book stands out due to its syllabus-specific approach, clarity in explanations, and exam-focused content. Unlike generic algebra textbooks, it directly addresses the exam pattern of Panjab University, where Question No.1 is compulsory and covers short-answer type questions from the entire syllabus. The inclusion of MCQs for UGC NET further enhances its utility for competitive exams.
