By Cliff L Stein, Robert Drysdale, Kenneth Bogart

Stein/Drysdale/Bogart's Discrete arithmetic for computing device Scientists is perfect for desktop technological know-how scholars taking the discrete math path. Written particularly for computing device technology scholars, this certain textbook at once addresses their wishes via delivering a starting place in discrete math whereas utilizing motivating, correct CS functions. this article takes an active-learning technique the place actions are provided as routines and the cloth is then fleshed out via factors and extensions of the workouts.

Show description

Read or Download Discrete Mathematics for Computer Scientists PDF

Similar discrete mathematics books

Computational Complexity of Sequential and Parallel Algorithms

This ebook offers a compact but complete survey of significant ends up in the computational complexity of sequential algorithms. this is often by way of a hugely informative advent to the advance of parallel algorithms, with the emphasis on non-numerical algorithms. the fabric is so chosen that the reader in lots of circumstances is ready to persist with a similar challenge for which either sequential and parallel algorithms are mentioned - the simultaneous presentation of sequential and parallel algorithms for fixing allowing the reader to recognize their universal and targeted positive factors.

Discontinuum Mechanics : Using Finite and Discrete Elements

Textbook introducing the mathematical and computational strategies of touch mechanics that are used more and more in business and educational program of the mixed finite/discrete aspect strategy.

Matroids: A Geometric Introduction

Matroid idea is a colourful sector of analysis that gives a unified approach to comprehend graph conception, linear algebra and combinatorics through finite geometry. This booklet offers the 1st finished creation to the sphere for you to entice undergraduate scholars and to any mathematician attracted to the geometric method of matroids.

Fragile networks: Identifying Vulnerabilities and Synergies in an Uncertain World

A unified therapy of the vulnerabilities that exist in real-world community systems-with instruments to spot synergies for mergers and acquisitions Fragile Networks: deciding upon Vulnerabilities and Synergies in an doubtful global offers a accomplished research of community platforms and the jobs those platforms play in our daily lives.

Extra resources for Discrete Mathematics for Computer Scientists

Example text

2-2). However, each of these sets has two functions in it, one for each choice of fi (3). Thus, by the product principle, we have 4 · 2 = 8 functions from a three-element set to a two-element set. 2-2 are one-to-one, but f3 and f4 are not. A function f is called onto, or a surjection, if every element y in the range is f(x) for some x in the domain. 2-2 are onto, but f3 and f4 are not. 2-5 Using two- or three-element sets as domains and ranges, find an example of a one-to-one function that is not onto.

Because there are k distinct elements of the list, every element of {1, 2, . . , k} appears in the list, so the function is onto. This means our function is a bijection. Thus, our definition of a permutation of a set is consistent with our definition of a k-element permutation in the case where the set is {1, 2, . . , k}. 5 In 16 Chapter 1: Counting permutations of {1, 2, 3, 4} are L = {123, 124, 132, 134, 142, 143, 213, 214, 231, 234, 241, 243, 312, 314, 321, 324, 341, 342, 412, 413, 421, 423, 431, 432}.

To write the problem algebraically, let Pi be the set of i-letter passwords and P be the set of all possible passwords. Clearly, P = P4 ∪ P5 ∪ P6 ∪ P7 ∪ P8 . The Pi are mutually disjoint; thus, we can apply the sum principle to obtain 8 |P | = |Pi |. i=4 We still need to compute |Pi |. For an i-letter password, there are 52 choices for the first letter, 52 choices for the second, and so on. By the product principle, |Pi |—the number of passwords with i letters—is 52i . Therefore, the total number of passwords is 524 + 525 + 526 + 527 + 528 .

Download PDF sample

Rated 4.64 of 5 – based on 21 votes