Discrete Mathematics with Applications

Susanna S. Epp

出版时间

2010-08-04

ISBN

9780495391326

评分

★★★★★
书籍介绍

Susanna Epp's DISCRETE MATHEMATICS WITH APPLICATIONS, FOURTH EDITION provides a clear introduction to discrete mathematics. Renowned for her lucid, accessible prose, Epp explains complex, abstract concepts with clarity and precision. This book presents not only the major themes of discrete mathematics, but also the reasoning that underlies mathematical thought. Students develop the ability to think abstractly as they study the ideas of logic and proof. While learning about such concepts as logic circuits and computer addition, algorithm analysis, recursive thinking, computability, automata, cryptography, and combinatorics, students discover that the ideas of discrete mathematics underlie and are essential to the science and technology of the computer age. Overall, Epp's emphasis on reasoning provides students with a strong foundation for computer science and upper-level mathematics courses.

Susanna S. Epp received her Ph.D. in 1968 from the University of Chicago, taught briefly at Boston University and the University of Illinois at Chicago, and is currently Vincent DePaul Professor of Mathematical Sciences at DePaul University. After initial research in commutative algebra, she became interested in cognitive issues associated with teaching analytical thinking and ...

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精彩摘录
  • "1,...conceived the idea of... 2,...., who found the modern subject of symbolic logic. 3,With research continuing to the present day,... 4,...are acceptable on their own merits 5,follow from other statements that are known to be true. 6,the component sentences 7,the truth or falsity of ... 8,Consider"
  • "1,assigning truth values to more complicated expressions... 2,...which translate into symbols as ... 3,It has to do with..."
  • "1,A second way to... is by example. 2,It is not the case that ... 3,The two logical equivalences 4,This is equivalent to saying that ... 5,Pictorially,...."
  • "1,Although the laws of logic are extremely useful, they should be used as an aid to thinking, not as a mechanical substitute for it. 2,general laws of thought"
  • "1,full or partial solutions to... 2,Supply a reason for each step. 3,Justify your answer. 4,Except as otherwose provided,..."
  • "1,by virtue of the fact that... 2,Then no matter whether p or q is the case, the truth of r must follow. 3,take the negation of both sides to obtain..."
  • "1,(to be explained in Section 1.3) 2,....has wide applicaiton 3,Another way to say this is that ...."
  • "1,In order of operations ... is coequal with ... 2,to indicate precedence between them 3,the full hierarchy of operations 4,some connection of content between ... 5,In mathematics it often happens that a carefully formulated definition that successfully covers the situations for which it was primari"
作者简介
Susanna S. Epp received her Ph.D. in 1968 from the University of Chicago, taught briefly at Boston University and the University of Illinois at Chicago, and is currently Vincent DePaul Professor of Mathematical Sciences at DePaul University. After initial research in commutative algebra, she became interested in cognitive issues associated with teaching analytical thinking and proof and has published a number of articles and given many talks related to this topic. She has also spoken widely on discrete mathematics and has organized sessions at national meetings on discrete mathematics instruction. In addition to Discrete Mathematics with Applications and Discrete Mathematics: An Introduction to Mathematical Reasoning, she is co-author of Precalculus and Discrete Mathematics, which was developed as part of the University of Chicago School Mathematics Project. Epp co-organized an international symposium on teaching logical reasoning, sponsored by the Institute for Discrete Mathematics and Theoretical Computer Science (DIMACS), and she was an associate editor of Mathematics Magazine from 1991 to 2001. Long active in the Mathematical Association of America (MAA), she is a co-author of the curricular guidelines for undergraduate mathematics programs: CUPM Curriculum Guide 2004.
用户评论
写得蛮好玩的
比较简单
拿了A
这要怎么打分,读完了考试还是不行(是我智商不行😭😭😭 书很行😭😭😭
讲义就抄的呗
朋友给我推荐的这本书,我在这里大力推荐,我大概花了3个月全部读完,每个定理都搞明白了,个人认为最难的部分就是费马小定理和RSA加密,感觉此书作者在编写此书的时候花了很多时间和精力,书后面的习题可以在Quizlet 上找到
完美. 附上学习笔记: https://max-young.github.io/algorithm/#/./docs/discrete_mathmatics/discrete_mathmatics
也是含金量很高地阅读的一本书了 下学期不想上数学课啊
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