Algebra
by Dr. H.K. Pathak
₹390
Useful for
About this book
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, PRSU Raipur, this 512-page book covers the full NEP 2020 Algebra syllabus across all 4 units. Every chapter includes previous year solved and unsolved questions, MCQs, Objective Type Questions, and HOTS questions.
Unit II (Sets, Relations, Functions, Congruences) maps directly to GATE CS Discrete Mathematics. Unit IV (Group Theory) and Unit I (Eigenvalues, Linear Algebra) are core topics in CSIR NET Mathematics and IIT JAM. Published by Shree Shiksha Sahitya Prakashan, Meerut.
Syllabus coverage
Unit 1 · Matrix Algebra
Introduction and operations; Symmetric, Skew Symmetric, Hermitian matrices; Rank, Echelon and Normal form; System of linear equations; Eigenvalues and Eigenvectors; Cayley-Hamilton theorem
Unit 2 · Sets Theory and Functions
Set operations, Venn diagrams, Power set; Equivalence Relations, Congruence modulo; Types of Functions, Inverse and Composite functions; Modular arithmetic
Unit 3 · Theory of Equations
Symmetric functions of roots; Synthetic division; Cardan's method for cubic equations; Descartes' rule of signs; Biquadrate equations
Unit 4 · Group Theory
Definition and properties of groups; Abelian groups; Subgroups, Cosets, Lagrange's theorem; Normal subgroups and Simple groups
