Homework Solutions Real Analysis Solutions

Math 4310. Introduction to Real Analysis. Fall 2015

TuTh 2-3:15 pm, Dell 2 103

  • Instructor: Mikhail Ershov
  • Office: Kerchof 302
  • e-mail: ershov at virginia dot edu
  • Office hours: Tue 3:30-4:30 or 5-6 (changes from week to week; will be announced in class), Wed 2:30-3:15 and 4:45-5:30 and by APPOINTMENT
Text: Principles of Mathematical Analysis, Walter Rudin, third edition


Final info


Homework assignments:

  •  Homework #1 (due on Thursday,  September 3rd)
  •  Homework #2 (due on Thursday,  September 10th)     Solutions
  •  Homework #3 (due on Thursday,  September 17th)     Solutions
  •  Homework #4 (due on Thursday,  September 24th)     Solutions
  •  Homework #5 (due on Thursday,  October 1st)           Solutions
  •  Homework #6 (due on Thursday,  October 15th)         Solutions
  •  Homework #7 (due on Thursday,  October 22nd)        Solutions
  •  Homework #8 (due on Thursday,  October 29th)         Solutions
  •  Homework #9 (due on Thursday,  November 5th)       Solutions
  •  Homework #10 (due on Thursday,  November 12th)   Solutions
  •  Homework #11 (due on Thursday,  December 3rd)      Solutions
  •  Homework #12 (not due)                                            Solutions


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Apostol, Mathematical Analysis, 2/e (Shin-Yi Lee)

Ch1 - The Real and Complex Number Systems
Ch2 - Some Basic Notions of Set Theory
Ch3 - Elements of Point Set Topology
Ch4 - Limits and Continuity
Ch5 - Derivatives
Ch6 - Functions of Bounded Variation and Rectifiable Curves
Ch7 - The Riemann-Stieltjes Integral
Ch8 - Infinite Series And Infinite Products
Ch9 - Sequences of Functions

Something around the number e
Limit sup and limit inf

Rudin, Principles of Mathematical Analysis, 3/e (Meng-Gen Tsai)

Total Solution(Supported by wwli; he is a good guy :)
Ch1 - The Real and Complex Number Systems (not completed)
Ch2 - Basic Topology (Nov 22, 2003)
Ch3 - Numerical Sequences and Series (not completed)
Ch4 - Continuity (not completed)
Ch5 - Differentiation (not completed)
Ch6 - The Riemann-Stieltjes Integral (not completed)

Bartle, The Elements of Real Analysis, 2/e (Meng-Gen Tsai)


Solutions of Admission Exams

1. National Chung Cheng University Admission Exam for Advanced Calculus, 1998 (Meng-Gen Tsai)

Solutions of Mathematical Analysis of Algorithm

(Well, the following 9 homeworks are not completed.)

Homework #1 (Problems) (Due to servon's comment, the solution of Problem 2 is wrong.)
Homework #2
Homework #3
Homework #4
Homework #5
Homework #6
Homework #7
Homework #8
Homework #9

Mirror: [http://plover.twbbs.org][http://www.csie.ntu.edu.tw/~b89089/]
Maintainer: Tsai

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