Скачать или смотреть 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.

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🔷 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

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