Discrete Mathematics with Coding

This book, for a first undergraduate course in Discrete Mathematics, systematically exploits the relationship between discrete mathematics and computer programming. Unlike most discrete mathematics texts focusing on one of the other, the book explores the rich and important connection between these two disciplines and shows how each discipline reinforces and enhances the other.

The mathematics in the book is self-contained, requiring only a good background in precalculus and some mathematical maturity. New mathematical topics are introduced as needed.

The coding language used is VBA Excel. The language is easy to learn, has intuitive commands, and the reader can develop interesting programs from the outset. Additionally, the spreadsheet platform in Excel makes for convenient and transparent data input and output and provides a powerful venue for complex data manipulation. Manipulating data is greatly simplified using spreadsheet features and visualizing the data can make programming and debugging easier.

The VBA language is seamlessly integrated into the spreadsheet environment with no other resources required. Furthermore, as some of the modules in the book show, intricate patterns, graphs, and animation in the form of moving cells is possible.

Features

• Introduces coding in VBA Excel assuming no previous coding experience.
• Develops programs in Linear Analysis, Logic, Combinatorics, Probability, and Number Theory.
• Contains over 90 fully tested and debugged programs. The code for these is as well as the exercises is available on the author's website.
• Contains numerous examples that gradually introduce the reader to coding techniques.
• Includes programs that solve systems of linear equations, linear programming problems, combinatorial problems, Venn diagram problems and programs that produce truth tables from logic statements and logic statements from switching and gate circuits, encrypt and decrypt messages and simulate probability experiments.

這本書是為大學一年級的離散數學課程而設計的，系統地利用了離散數學和計算機編程之間的關係。與大多數僅專注於其中一個學科的離散數學教材不同，本書探索了這兩個學科之間豐富而重要的聯繫，並展示了每個學科如何相互加強和增強。

本書中的數學內容是自成體系的，只需要良好的預計算背景和一些數學成熟度。新的數學主題會根據需要引入。

本書使用的編程語言是VBA Excel。這種語言易於學習，具有直觀的命令，讀者可以從一開始就開發有趣的程序。此外，Excel中的電子表格平台方便且透明地進行數據輸入和輸出，並提供了一個強大的場所進行複雜的數據操作。使用電子表格功能可以大大簡化數據操作，並且可視化數據可以使編程和調試更加容易。

VBA語言無縫集成到電子表格環境中，無需其他資源。此外，正如本書中的一些模塊所示，可以實現複雜的圖案、圖形和動畫，以移動單元格的形式呈現。

特點：
- 假設讀者沒有編程經驗，介紹了在VBA Excel中編程的方法。
- 在線性分析、邏輯、組合數學、概率和數論方面開發程序。
- 包含90多個經過全面測試和調試的程序。這些程序的代碼以及練習題的答案可以在作者的網站上找到。
- 包含許多例子，逐漸引入讀者到編程技巧。
- 包括解決線性方程組、線性規劃問題、組合問題、Venn圖問題以及從邏輯陳述式生成真值表和從開關和閘電路生成邏輯陳述式、加密和解密消息以及模擬概率實驗的程序。

Hugo D. Junghenn is Professor of Mathematics at The George Washington University. He has published numerous journal articles and is the author of several books, including A Course in Real Analysis and Principles of Analysis: Measure, Integration, Functional Analysis, and Applications. His research interests include functional analysis, semigroups, and probability.

Hugo D. Junghenn是喬治華盛頓大學的數學教授。他發表了許多期刊文章，並撰寫了幾本書，包括《實分析課程》和《分析原理：測度、積分、泛函分析和應用》。他的研究興趣包括泛函分析、半群和概率。