Divisibility in Number Theory | Division Algorithm | Even–Odd Integers | Floor Function | BSc 1st Yr

Описание: Divisibility in Number Theory | Division Algorithm | Even–Odd Integers | Floor Function | BSc 1st Yr

Welcome to K. Mathematics 🎓

In this video, we study Divisibility in Number Theory in a simple and clear way with examples and solved problems. This lecture is specially designed for BSc 1st Year Mathematics students studying the paper Introduction to Algebra and Number Theory.

You will learn the division algorithm, properties of divisibility, floor function representation, and divisibility properties involving even and odd integers with step-by-step explanations.

This lecture helps build strong fundamentals for abstract algebra, number theory, CSIR NET preparation, and university exams.

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🎯 What You Will Learn in This Video

✔ Divisibility and its properties with examples
✔ Division Algorithm concept and applications
✔ Floor Function representation in divisibility
✔ Theorem on number of integers ≤ a divisible by b
✔ Divisibility properties involving even and odd integers
✔ Solved examples for better understanding

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⏱️ Timestamps

00:00 — Introduction
00:30 — Divisibility and its Properties (with examples)
06:15 — Division Algorithm
14:00 — Floor Function Representation of Divisibility
16:16 — Theorem on Number of Integers ≤ a and Divisible by b
21:34 — Divisibility Properties involving Even and Odd Integers
25:50 — Outro

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📚 Course: BSc 1st Year Mathematics
📖 Paper: Introduction to Algebra and Number Theory

This video is useful for:

✅ BSc Mathematics students
✅ University exam preparation
✅ Number Theory beginners
✅ CSIR NET Mathematics preparation
✅ Students learning Abstract Algebra basics

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✔ Like the video
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