Web Links for Chapter 6

Section 6.1 Relations and their Properties

Page 374

An introduction to relations and their properties can be found at the site of the Mathematics Department of the California State University at San Bernardino

http://www.math.csusb.edu/notes/rel/rel.html (Notes on Relations)

Section 6.2 n-ary Relations and Their Applications

Page 385

You can learn about the relational model using the Dublin City University (Ireland) Web hypermedia database courseware at

http://www.compapp.dcu.ie/databases/welcome.html (WWW Database Courseware)

Section 6.5 Equivalence Relations

Page 408

Equivalence relations and classes are covered in the on-line textbook Interactive Real Analysis developed by Bert Wachsmuth at Seton Hall University. This material can be found in the Sets and Relations of the text. The text can be found at

http://www.shu.edu/projects/reals/index.html (Interactive Real Analysis)

Equivalence relations are also discussed at the Cut-the-Knot site

http://www.cut-the-knot.com/blue/equi.html (Equivalence Relations)

Section 6.6 Partial Orders

Page 419

Biographical information and a likeness of Helmut Hasse can be found at the Technische Universität, München site at

http://hasse.mathematik.tu-muenchen.de/Hasse1_e.html (Helmut Hasse (1898-1979), I)

and

http://hasse.mathematik.tu-muenchen.de/Hasse2_e.html (Helmut Hasse (1898-1979,II)

A biography and photograph of Hasse can also be found at the MacTutor History of Mathematics Archive at the University of St Andrews, Scotland.

http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Hasse.html (Hasse) Scotland)

Page 425

You can learn more about information flow security by reading a paper written by Andrew C. Myers and Barbara Liskov at the MIT Laboratory for Computer Science, accessible at

http://www.pmg.lcs.mit.edu/papers/iflow-sosp97/paper.html (A Decentralized Model for Information Flow Control)

Source code for algorithms for topological sorting can be found at the Stony Brook Algorithm Archive, run by Steven Skiena.

http://www.cs.sunysb.edu/~algorith/files/topological-sorting.shtml (1.4.2 Topological Sorting)

Supplementary Exercises

Page 433

A biography and photograph of Erdös can be found at the MacTutor History of Mathematics Archive at the University of St Andrews, Scotland.

http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Erdos.html (Erdos)

Photographs and links related to Paul Erdös can be found at

http://www.math.elte.hu/erdos/ (Erdõs Pál (1913-1996))

Information about the Erdös number of various people is maintained by the Erdös Number Project (which has also been selected as a Geek Site of the Day).

http://www.acs.oakland.edu/~grossman/erdoshp.html (The Erdös Number Project)

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