# 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

Addon:

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)

8.beta

## 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

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