introduction to real analysis bartle solutions - Lec#24 Chapter#3 Exercise#3.1 Questions 1 to 5

introduction to real analysis bartle- Lec#24 Chapter#3 Exercise#3.1 Questions 1 to 5 Math tutor 2
Dear students in this lecture we will discuss Exercise Questions of 3.1 from Question 1 to 5. Subscribe my channel to get more video lectures.

Course Name: Real Analysis ( By Robert G Bartle)
Course Instructor: Malik Aqeel (Math tutor 2)
GC university

__________________________Complex Analysis Lectures series_____________________________

_______________________Real Analysis lecture series______________________________________

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In this part of lecture series course "Real Analysis I" Course of BS mathematics 5th Semester, we shall cover the following topics.

Real Number System
 Ordered sets, fields, the field of real numbers
 Completeness property of R
 The extended real number system
 Euclidean spaces
 Finite, countable and uncountable sets
Sequences and Series
 Sequences, subsequences, convergent sequences, Cauchy sequences
 Monotone and bounded sequences, Bolzano Weierstrass theorem
 Series, series of non-negative terms
 Partial sums, the root and ratio tests, integral test, comparison test
 Absolute and conditional convergence
Limit and Continuity
 The limit of a function
 Continuous functions
 Types of discontinuity
 Uniform continuity
 Monotone functions
Differentiation
 The derivative of a function
 Mean value theorems, the continuity of derivatives
 Taylor’s theorem
Functions of Several Variables
 Partial derivatives and differentiability, derivatives and differentials of composite functions
 Change in the order of partial derivative, implicit functions, inverse functions, Jacobians
 Maxima and minima

Recommended Books
1. W. Rudin, Principles of Mathematical Analysis, 3rd edition, (McGraw Hill, 1976)
2. R. G. Bartle, Introduction to Real Analysis, 3rd edition, (John Wiley and Sons, 2000)
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Thanks for watching

[wasimullah]

sir please iss book k our chpter b solve k jye please sir... hamay bahut kuch sekhnay ko milta ha..

[snehalkathale]

Q2 me apane nth term find karane ke liye vo formula kaise nikale ?

Video ke liye thank u 😊

[abhinavtamang]

show that lim (1/3^n)=0 by limit of a sequence, sir iska solution batado pls

[Rahejannat-]

A.o.a sir g exercise1.4 ka 14 or 13 walla question kar dain or 2.1 Kay first 22 questions mera Kl test hai or first test hai kr dain😭

[dikshabansal]

Sir yeh q5 (c) part m 3rd line m 16/4n kaise aya?

[wasimullah]

sir Kai AP ye answer key mujay send Kar sakhte ho??

[hassanmahmood]

Sir yah jahan such that 1/n°< ky bd kia likha hai smjh ni a raha