Bolzano's Theorem | Real Analysis | B.Sc./B.A. (Mathematics) Third Year, TU
In this video, we state and prove the famous Bolzano's Theorem for continuous functions, which is also known as Location of Roots Theorem.
A brief discussion regarding why the continuity at the end of points (as prescribed by the theorem) cannot be dropped is also included in the end.
#realanalysis #continuity #tu #bsc #thirdyear #solutionmath #solution #tribhuvanuniversity #tusolution #mathematics #mathematicalanalysis #compact #bscmathematics #iost #tuiost #topology #bolzano #theorem #locationofroots
Other Videos By Kshitiz Mangal Bajracharya
2024-10-14 | Price Elasticity of Demand (Example 1) - (Unit 1) Business Mathematics-I, BBA/BBM First Semester, TU |
2024-10-13 | Price Elasticity of Demand (Part 2) - (Unit 1) Business Mathematics-I, BBA/BBM First Semester, TU |
2024-10-12 | Archimedean Principle (Part 1) | Real Analysis | B.Sc./B.A. (Mathematics) Third Year, TU |
2024-10-12 | Price Elasticity of Demand (Part 1) - (Unit 1) Business Mathematics-I, BBA/BBM First Semester, TU |
2024-10-07 | Additive Property of Riemann Integrals | Real Analysis | B.Sc./B.A. (Mathematics) Third Year, TU |
2024-10-06 | Linear Supply Function - (Unit 1) Business Mathematics-I, BBA/BBM First Semester, TU |
2024-10-06 | Linear Demand Function (Example 1) - (Unit 1) Business Mathematics-I, BBA/BBM First Semester, TU |
2024-10-03 | Linear Demand Function (Part 2) - (Unit 1) Business Mathematics-I, BBA/BBM First Semester, TU |
2024-10-03 | Linear Demand Function (Part 1) - (Unit 1) Business Mathematics-I, BBA/BBM First Semester, TU |
2024-10-03 | Graphing Linear Functions - (Unit 1) Business Mathematics-I, BBA/BBM First Semester, TU |
2024-10-03 | Bolzano's Theorem | Real Analysis | B.Sc./B.A. (Mathematics) Third Year, TU |
2024-09-29 | Functions and Inverse Functions - (Unit 1) Business Mathematics-I, BBA/BBM First Semester, TU |
2024-09-13 | Point-slope Form of Straight Line - (Unit 1) Business Mathematics-I, BBA/BBM First Semester, TU |
2024-09-07 | Equation of a Straight Line - (Unit 1) Business Mathematics-I, BBA/BBM First Semester, TU |
2024-09-06 | Coordinates and Slopes - (Unit 1) Business Mathematics-I, BBA/BBM First Semester, TU |
2024-09-05 | Convergent Sequences (Example 1) | Real Analysis | B.Sc./B.A. (Mathematics) Third Year, TU |
2024-08-29 | Continuity and Compactness on R (Part 2) | Real Analysis | B.Sc./B.A. (Mathematics) Third Year, TU |
2024-08-29 | Continuity and Compactness on R (Part 1) | Real Analysis | B.Sc./B.A. (Mathematics) Third Year, TU |
2024-08-28 | The Enemy Inside - 100% kills, secrets and items on Ultra-Violence Difficulty |
2024-08-23 | Ultimate DooM (1995) 100% Playthrough on Ultra-Violence (E4M5: They Will Repent) |
2024-07-15 | Diagonalization (Part 2) - Mathematics-II (B.Sc. CSIT Second Semester, TU) |