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

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

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. --- 🎯 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 --- ⏱️ 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 --- 📚 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 --- 👍 If you found this lecture helpful, please: ✔ Like the video ✔ Share with your friends ✔ Subscribe for more Mathematics lectures --- Your Queries: divisibility in number theory number theory for bsc division algorithm division algorithm examples divisibility rules divisibility properties divisibility in mathematics number theory basics even and odd integers properties of even and odd integers floor function in mathematics floor function examples divisibility theorem introduction to algebra and number theory bsc 1st year maths bsc mathematics lecture abstract algebra basics number theory lecture divisibility problems divisibility examples division algorithm proof integer divisibility divisibility rules in maths number theory concepts algebra and number theory bsc floor function representation greatest integer function divisibility with examples even odd number properties divisibility property involving even odd integers theorem on divisibility number of integers divisible by b divisibility theorems in number theory introduction to number theory bsc maths number theory algebra for beginners divisibility explained division algorithm in number theory solved problems number theory integer properties mathematics mathematics lecture bsc university maths lecture pure mathematics number theory divisibility concept divisibility proof algebra lecture bsc 1st year number theory for beginners divisibility formula floor function divisibility integer functions mathematics math concepts for bsc introduction to abstract algebra number theory india bsc maths preparation mathematics for university students csir net mathematics basics discrete mathematics number theory number theory solved examples divisibility and division algorithm maths lecture divisibility division algorithm practice questions questions about division algorithm euclids division algorithm division of integers integers maths chapter 1 maths class 7 integers number theory division algoriyhm addition and subtraction of integers grade 7 integers class 7 statement questions addition of integers fun way to learn maths number system by Aditya Ranjan sir multiplication of integers number system by Aditya Ranjan class 7 maths statement questions subtraction of integers #Divisibility #NumberTheory #DivisionAlgorithm #EvenOddIntegers #FloorFunction #BScMaths #BScFirstYear #Algebra #AbstractAlgebra #AlgebraAndNumberTheory #MathsLecture #Mathematics #PureMathematics #UniversityMaths #MathsConcepts #DivisibilityRules #DivisibilityProperties #NumberTheoryBasics #MathsForStudents #MathsClass #MathsTeaching #MathsEducation #IntegerProperties #GreatestIntegerFunction #MathsProblems #SolvedExamples #MathsTutorial #MathsIndia #CSIRNETMaths #DiscreteMathematics #HigherMathematics #MathsLearning #MathsVideo #MathsTeacher #CollegeMaths #MathsPreparation #LearnMathematics#kmathematics #education #bscmathematics #maths #conicsections #kishan #engineering #analyticgeometry #fmuniversity #nep2025 #nep2020 #utkaluniversity #kishan #MathsHelp #MathsConcept #BScMathematics