Exercises2018

Exercise 5.4:8

Exercise 5.5:14

Exercise 5.6:15

Exercise 5.7:8,9

Exercise 5.8:1,(e)

Exercise 9.1:4

Exercise 9.2:10

Exercise 9.3:7

Exercise 9.4:10

Excersices :3.2:8.9

Excersices :3.3:1.5

Excersices :4.4:3.7,10

Excersices :5.1:13

Excersices :5.2:2.20

Excersices :5.3:4.9

Exercises 2.2(p.66):12,17

Exercises 2.3(p.84):2,10

Exercises 2.4(p.100):3,8(a),(c),(e)

Exercises 2.5(p.116):15

Exercises 2.1(p.54-p.55):3,6,10,13

Exercises 1.5(p.40):7,10,11

Programming Assignment 1: (You may use any programming tool.)

input: integers n, r (m, k; or m, n) where 0<=r<=n (0<=k<=m-1; or 1<=n<=m, respectively )

output:

(1) results of P(n, r), C(n, r), n^r, C(r+n-1, r) with respect to n, r;

(2) the first n Catalan, triangular, harmonic, Fibonacci, Lucas with respect to n;

(3) Eulerian numbers with respect to m, k for 0<=k<=m-1 (i.e., a_sub(m,0), a_sub(m,1), ... , a_sub(m,m-1) ) and

(4) Stirling number of the second kind with respect to m, n for 1<=n<=m (i.e., S_sub(m,1), S_sub(m,2), ... , a_sub(m,m) )

/* For those who are interested in coding in Javascript, which I suggest you to learn, please refer to the following ~.html. Please download the file via the link below and run it on your PC, NB, cell phone, etc.

https://drive.google.com/file/d/1ZzxehvrORiQc1zSF6r7_203zEeavT7iF/view?usp=sharing (Open the file using Notepad++ or Sublime to get an easy reading format of well indented code.)

Exercises 1.3,(p.24-p.26):8, 13, 17(a),(d),(e), 29 ,33

Exercises 1.1 & 1.2 (p. 11-14): 6, 15, 17, 23, 28, 30, 33, 36, 38

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