Euler’s Theorem | Euler Phi Function (φ) | Number Theory | BSc 1st Year Mathematics

Euler’s Theorem | Euler Phi Function (φ) | Number Theory | BSc 1st Year Mathematics Welcome to K. Mathematics 🎓 In this lecture, we cover one of the most important topics in Number Theory — Euler’s Theorem and Euler Phi Function (φ), specially designed for BSc 1st Year students studying Introduction to Algebra and Number Theory. This video will help you understand: ✔️ Concept of Euler Phi Function ✔️ Properties of φ(n) ✔️ Important Lemma (Permutation Property) ✔️ Euler’s Theorem with proof ✔️ Solved problems for better understanding Whether you are preparing for university exams, concept building, or competitive exams, this lecture will make the topic clear and easy. ⏱️ Time Stamps 00:00 ▶️ Introduction 00:50 ▶️ Euler Phi Function (φ) 10:28 ▶️ Lemma 1 (Important Concept) 13:35 ▶️ Euler’s Theorem (Statement & Proof) 20:02 ▶️ Solved Problems 23:02 ▶️ Outro 🎯 Who should watch? BSc 1st Year Mathematics students Students studying Number Theory Learners preparing for exams like CSIR-NET / JAM (basic concepts) 📌 Topics Covered Euler Totient Function φ(n) Multiplicative Property Euler’s Theorem Proof Modular Arithmetic Applications Solving Congruences 👍 Don’t Forget 👉 Like, Share & Subscribe to K. Mathematics 👉 Comment your doubts below 👉 Stay tuned for more Number Theory lectures Your Queries: euler theorem euler phi function totient function phi function euler theorem proof euler theorem examples number theory number theory bsc 1st year introduction to algebra and number theory modular arithmetic congruence linear congruence solving congruences phi function examples euler totient function formula multiplicative function euler phi multiplicative property gcd concepts relatively prime numbers coprime numbers modular inverse inverse modulo euler theorem applications remainder problems large power mod problems bsc mathematics bsc 1st year maths undergraduate maths maths lecture math tutorial number theory basics discrete mathematics algebra and number theory phi function tricks euler theorem tricks exam preparation maths university maths indian university maths csir net maths basics jam maths preparation easy number theory learn mathematics online math concepts explained problem solving maths arithmetic functions properties of phi function phi function prime numbers phi of n formula math for beginners math for college students modular exponentiation congruence equations euler theorem easy explanation step by step maths math lecture in english k mathematics maths youtube lecture euler phi function number theory euler totient function in number theory euler's function arithmetic function number theory euler's function number theory euler's phi function and euler's theorem euler's function in number theory euler phi function group theory phi function number theory number theory bsc 3rd year euler theorem in graph theory number theory discrete mathematics algorithm for euler phi function properties of euler phi function tau and sigma function in analytical number theory #EulerTheorem #EulerPhiFunction #TotientFunction #NumberTheory #BScMaths #Mathematics #ModularArithmetic #Congruence #LinearCongruence #MathLecture #MathsClass #LearnMaths #MathsForStudents #CollegeMaths #UndergraduateMaths #Algebra #NumberTheoryBasics #PhiFunction #EulerTheoremProof #MathTutorial #MathConcepts #EasyMaths #MathsMadeEasy #ExamPreparation #UniversityMaths #IndianStudents #MathsHelp #MathsTeacher #MathsEducation #StudyMaths #MathsProblem #MathsTricks#kmathematics #maths #bscmathematics #modulararithmetic #maths #engineering #engineering #utkaluniversity #fmuniversity #nep2020 #nep2025 ##education #DiscreteMathematics #CSIRNETMaths #JAMMaths #MathsLectureVideo #KMathematics #MathsYouTube #LearnMathematics #MathsNotes