1. Sets and Functions (PART 1) | Real Analysis | Bartle & Sherbert | Complete Basics скачать в хорошем качестве

1. Sets and Functions (PART 1) | Real Analysis | Bartle & Sherbert | Complete Basics

This is Lecture 01 of Real Analysis, based on the standard textbook Bartle and Sherbert – Introduction to Real Analysis. In this lecture, we study the basic foundation of Real Analysis, focusing on Sets and Functions, which are essential for understanding limits, continuity, differentiation, and integration. 📘 Topics covered in this lecture: • Definition of a set • Types of sets • Subsets and proper subsets • Power set • Union, intersection, and difference of sets • Functions and mappings • Domain, codomain, and range • Types of functions (one-one, onto, many-one) • Important examples for exams 🎯 This lecture is very useful for: • BSc Mathematics • MSc Mathematics • AMU students • Competitive exams • NET / GATE / JAM aspirants • Beginners in Real Analysis 📌 This video is part of a complete Real Analysis playlist where concepts are explained step-by-step with proofs and examples, strictly following Bartle & Sherbert. 👉 Watch till the end for a strong foundation in Real Analysis. 🔔 Subscribe to Mathstronauts for complete courses in: Real Analysis | Advanced Calculus | Vector Calculus | Linear Algebra 👍 Like | 💬 Comment | 🔁 Share 🔷 Timestamps 00:00 Introduction to Real Analysis 10:30 Sets 20:20 Subsets 22:40 Union and Intersection 24:10 Difference of Sets 35:37 Cartesian product real analysis real analysis lecture 1 sets and functions bartle and sherbert real analysis bartle sherbert sets and functions real analysis real analysis full course bsc mathematics real analysis msc mathematics real analysis amu real analysis real analysis for beginners real analysis basics mathstronauts introduction to real analysis net gate jam mathematics #RealAnalysis #SetsAndFunctions #BartleAndSherbert #Mathematics #BScMaths #MScMaths #AMU #Mathstronauts