Introduction to Discrete Structure & Linear Algebra
by Dr. D.C. Agarwal & Dr. Pradeep K. Joshi
₹400
About this book
Introduction to Discrete Structure & Linear Algebra is a comprehensive 536-page textbook for B.Tech AI & Machine Learning students at RGPV Bhopal, covering the complete AL-401 (4th semester) syllabus.
Unit IV is especially powerful for AI/ML students: Eigenvalue Decomposition and Singular Value Decomposition (SVD) are the mathematical core of Principal Component Analysis (PCA), dimensionality reduction, neural network optimization and recommender systems — this book teaches the maths that makes AI work.
Topics align with GATE DA and GATE CS. Authored by Dr. D.C. Agarwal and Dr. Pradeep K. Joshi specifically for Indian B.Tech AIML students, with MCQs, HOTS Questions, Objective Questions and fully worked solved examples.
Syllabus coverage
See the full AL401 / CD401 syllabus →Unit 1 · Set Theory & Relations
Venn Diagrams, POSET, Hasse diagrams, Lattice
Unit 2 · Algebraic Structures
Semi Groups, Monoids, Groups, Rings, Fields, Recurrence Relations, Generating Functions
Unit 3 · Logic & Graph Theory
First Order Logic, Truth Tables, Normal Forms, paths, cycles, shortest path, graph colouring
Unit 4 · Linear Algebra for AI
Determinant, Trace, Cholesky, Eigenvalue Decomposition, SVD, Gradient of Matrix
Unit 5 · Statistical Methods
Hypothesis Testing, Time Series Analysis, ANOVA