離散數(shù)學結構(第三版)--英文

內容概要

用于計算機科學的離散數(shù)學是大學一、二年級既難教又難學的一門課程。本書深入淺出，由簡及繁，將定義和理論抽象壓縮到最低限度。除仍像前兩版那樣以關系和有向圖作為中心外，本書增加了較大的靈活性和模塊性。本書11章分別為： 基礎；邏輯；計數(shù)；關系和有向圖；函數(shù)；圖論問題；有序關系及結構；樹；半群和群；語言和有限狀態(tài)機；群和編碼。除新增一章圖論外，還增加了一些新的小節(jié)如： 數(shù)學結構，謂詞演算，遞歸關系，用于計算機科學的函數(shù)，函數(shù)的序，最小生成樹。附錄B離散數(shù)學實驗是新增加的；此外，有關遞歸、邏輯及驗證也引入了更多的新材料，排列和組合的表達形式有了擴展，每章都增加了編碼練習。本書既可作數(shù)學也可作計算機科學或計算機工程課的教材。

作者簡介

Bernard Kolman received his B.S. (summa cum laude with honors in mathemat-
ics and physics) from Brooklyn College in 1954, his Sc.M. from Brown University
in 1956, and his Ph.D. from the University of Pennsylvania in 1965, all in mathe-
matics. During the summers of 1955 and 1956 he worked as a mathematician for
the U.S. Navy, and IBM, respectively, in areas of numerical analysis and simula-
tion. From 1957-1964, he was employed as a mathematician by the UNIVAC
Division of Sperry Rand Corporation, working in the areas of operations
research, numerical analysis, and discrete mathematics. He also had extensive
experience as.a consultant to industry in operations research. Since 1964, he has
been a member of the Mathematics Department at Drexel University, where he
also served as Acting Head of this department. Since 1964, his research activities
have been in the areas of Lie algebras and operations research.
Professor Kolman is the author of numerous papers, primarily in Lie alge-
bras, and has organized several conferences on Lie algebras. He is also well
known as the author of many mathematics textbooks that are used worldwide
and have been translated into several other languages. He belongs to a number
of professional associations and is a member of Phi Beta Kappa, Pi Mu Epsi'.on,
and Sigma Xi.
Robert C. Busby received his B.S. in Physics from Drexel University in 1963 and
his A.M. in 1964 and Ph.D. in 1966, both in mathematics from the University of
Pennsylvania. From September 1967 to May 1969 he was a member of the math-
ematics department at Oakland University in Rochester, Michigan. Since 1969 he
has been a faculty member at Drexel University, in what is now the Department
of Mathematics and Computer Science. He has consulted in applied mathemat-
ics in industry and government. This includes a period of three years as a consul-
tant to the Office of Emergency Preparedness, Executive Office of the President,
specializing in applications of mathematics to economic problems. He has had
extensive experience developing computer implementations of a variety of math-
ematical applications.
Professor Busby has written two books and has numerous research papers
in operator algebras, group representations, operator continued fractions, and the
applications of probability and statistics to mathematical demography.
Sharon Cutler Ross received an S.B. in mathematics from the Massachusetts
Institute of Technology (1965), an M.A.T. in secondary mathematics from
Harvard University (1966), and a Ph.D. also in mathematics from Emory
University (1976). In addition, she is a graduate of the Institute for Retraining in
Computer Science (1984). She has taught junior high, high school, and college
mathematics. She has also taught computer science at the collegiate level. Since
1974, she has been a member of the Department of Mathematics at DeKalb
College. Her current professional interests are in the areas of undergraduate
mathematics education reform and alternative forms of assessment.
Professor Ross is the co-author of two other mathematics textbooks. She is
well known for her activities with the Mathematical Association of America, the
American Mathematical Association of Two -Year Colleges, and UME Trends. In
addition, she is a full member of Sigma Xi and of numerous other professional
associations.

書籍目錄

第一章  基礎                      第二章  邏輯                      第三章  計數(shù)                      第四章  關系和有向圖                      第五章  函數(shù)                      第六章  圖論問題                      第七章  有序關系及結構                      第八章  樹                      第九章  半群和群                      第十章  語言和有限狀態(tài)機                      第十一章  群和編碼

圖書封面

圖書標簽Tags

無

評論、評分、閱讀與下載

---

    離散數(shù)學結構(第三版)--英文 PDF格式下載

---