Algebra | B.A./B.Sc. First Year Semester II | All Chhattisgarh State Universities | NEP 2020 | Useful for GATE CS, CSIR NET & IIT JAM | Dr. H.K. Pathak

If you are a B.A./B.Sc. First Year student at any Chhattisgarh State University — PRSU Raipur, Hemchand Yadav University Durg, Guru Ghasidas University Bilaspur, or any affiliated college — this is the complete Algebra textbook for your Second Semester.  Written by Dr. H.K. Pathak, Ex-Professor and Former Head, School of Studies in Mathematics, Pt. Ravishankar Shukla University (PRSU) Raipur, this 512-page book covers the full NEP 2020 Algebra syllabus across all 4 units.  WHAT THIS BOOK COVERS (All 4 Units as per CG NEP 2020 Syllabus): Unit I — Matrix Algebra: Introduction and operations; Symmetric, Skew Symmetric, Hermitian matrices; Rank, Echelon and Normal form; System of linear equations; Eigen values and Eigen vectors; Cayley-Hamilton theorem Unit II — Sets Theory and Functions: Set operations, Venn diagrams, Power set; Equivalence Relations, Congruence modulo; Types of Functions, Inverse and Composite functions; Modular arithmetic Unit III — Theory of Equations: Symmetric functions of roots; Synthetic division; Cardan's method for cubic equations; Descartes' rule of signs; Biquadrate equations Unit IV — Group Theory: Definition and properties of groups; Abelian groups; Subgroups, Cosets, Lagrange's theorem; Normal subgroups and Simple groups  WHY THIS BOOK: Every chapter includes previous year solved and unsolved questions from CG university examinations. MCQs, Objective Type Questions, and Higher Order Thinking Skills (HOTS) questions prepare students for all NEP 2020 exam formats. Written in simple, clear English.  ALSO USEFUL FOR GATE CS, CSIR NET & IIT JAM: Unit II (Sets, Relations, Functions, Congruences) maps directly to GATE CS Discrete Mathematics. Unit IV (Group Theory) and Unit I (Linear Algebra, Eigenvalues) are core topics in CSIR NET Mathematics and IIT JAM.  Published by Shree Shiksha Sahitya Prakashan, Meerut.