Lecture 1 | Introduction to Algebra & Number Theory | Integers, Properties & Well-Ordering Set

Introduction to Algebra & Number Theory | Lecture 1 | B.Sc Mathematics | Integers, Properties & Well-Ordering Set Welcome to Lecture 1 of Algebra and Number Theory for B.Sc Mathematics Students. In this lecture, we’ll build the foundation of higher mathematics by exploring integers and their properties, the concept of well-ordering sets, and illustrative examples that strengthen your logical understanding. Whether you’re preparing for CSIR NET, GATE, or University Exams, this lecture will boost your conceptual clarity and problem-solving skills. You’ll learn how integers form the backbone of algebra and how the well-ordering principle is used in proofs and number theory concepts. Every concept is explained in simple, student-friendly language with step-by-step explanations and real exam-level questions. ✨ Topic Covered: 🔹 Introduction to Algebra and Number Theory 🔹 Integers and Their Properties 🔹 Concept of Well-Ordering Set 🔹 Proofs and Examples 🔹 Basic Theorems and Applications 📘 Download Free PDF Notes: Click Here 🔗 https://t.me/mramitkumar486/46 🎥 Watch Full Playlist: Visit Here 🔗    • Introduction to Number theory and Algebra   👍 LIKE | 💬 COMMENT | 🔁 SHARE | 🔔 SUBSCRIBE Your support helps me continue creating more educational content for all aspiring mathematicians. TIME STAMP 0:00 Intro 1:05 Tutorial starts 1:45 Properties of Z 11:04 Well-Ordering Principle Theorem and Proof and Examples 21:07 Divisibility and Primes 24:15 Applications of well ordering Principle 37:37 Lecture END 🎓 Your Tutor: 👨‍🏫 Amit Kumar Behera 📘 CSIR NET | GATE Qualified | 3 Years Teaching Experience | PhD Scholar at NIT Rourkela 📲 Contact Us for Updates & Queries: 📧 Email: [email protected] 📞 WhatsApp: 8908489329 🔭 Telegram Group: t.me/mramitkumar486 📸 Instagram: @amit_kumar_akc 📚 Keywords: introduction to algebra, number theory basics, integers and properties, well-ordering principle, bsc mathematics algebra, algebra and number theory lecture 1, integer properties examples, csir net mathematics, gate mathematics, mathematics lecture for university, nptel algebra, amit kumar behera lecture 🏷️ Hashtags #AlgebraLecture1 #NumberTheory #BScMathematics #IntegersAndProperties #WellOrderingSet #MathematicsLecture #AmitKumarBehera #GATEMaths #CSIRNETMathematics #NITRourkela #MathsForBeginners #UniversityMathematics #LearnWithAmitSir #MathsConcepts #HigherMathematics