Minimum no of iterations required in Bisection method if tolerance error E is given:

August 18, 2020December 12, 2021 Namita Tiwari Numerical Methods

Let's understand how many minimum iterations we should perform in the Bisection method so that approximated root is as far from the exact root as tolerance error is givenPlease refer my notesThank you

Order Axioms: Rational Number Vs Irrational number

August 10, 2020August 10, 2020 Namita Tiwari Real Analysis lecture 2

A real number is rational iff its decimal representation is either terminating or re occuring. While a real number is called irrational if it is not a rational or its decimal representation is neither terminating non recurring. Mathematically, a real number x s.t. x=p/q (q is non zero and gcd(p,q)=1), and p,q both are integers,is … Continue reading Order Axioms: Rational Number Vs Irrational number

Axioms: (Algebraic Properties of real numbers)…..

August 7, 2020August 7, 2020 Namita Tiwari Real Analysis lecture 1

Hello readersYou know what is axiom in mathematics?Generaly the question asked in interviews" what is the difference between Axiom and Theorem"?In mathematics or logical system, an initial statement that is assumed / accepted true without any contrary and used to derive other statements or to prove further theorems, is called Axiom.In simple words, no one … Continue reading Axioms: (Algebraic Properties of real numbers)…..