CatalogueEngineeringIntroduction to Discrete Structure & Linear Algebra
AI, ML & Data Science Mathematics

Introduction to Discrete Structure & Linear Algebra

by Dr. D.C. Agarwal & Dr. Pradeep K. Joshi

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University: RGPV Bhopal Subject code: AL-401 For: B.Tech AI & Machine Learning, Semester 4 Pages: 536 Edition: 1st Edition Binding: Paperback Language: English

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.

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

Related tags

Discrete MathematicsLinear AlgebraArtificial IntelligenceMachine LearningGATE DA