Mathematics for B.Sc. Students: Introduction to Algebra and Number Theory, Semester I, Core II (NEP Odisha)

Product Overview & Details

This textbook has been designed in accordance with the Common Minimum Syllabus prescribed for Odisha University and other Universities and Colleges under the recommended National Education Policy 2020 in Odisha and other states. Introduction to Algebra and Number Theory is a provocative and meticulously structured textbook, explicitly designed for undergraduate students pursuing a B.Sc. in Mathematics. It covers both theoretical concepts and practical applications, serving as an essential guide for mastering the core principles of the subject.

Beginning with integers and modular arithmetic, it introduces equivalence relations as a bridge to algebraic structures. Students then explore the symmetry of squares, the elegance of dihedral groups and the properties of groups, subgroups and cyclic groups. The algebraic journey continues with rings, subrings, integral domains and fields—each concept carefully developed to highlight how axioms shape mathematical behaviour. In parallel, the number-theoretic core delves into divisibility, the division algorithm, prime numbers and the Euclidean Algorithm, culminating in powerful tools like the Chinese Remainder Theorem and Fermat's Little Theorem.

• Clear and systematic presentation of topics with detailed explanations and derivations.
• Thoughtfully designed diagrams and figures to aid visual understanding.
• Chapter-end problems and solved examples to build problem-solving skills.
• A perfect blend of theory and practical knowledge for holistic learning.