10 digit ISBN: 0470457937 13 digit ISBN: 9780470457931

Now available.

Second Edition Table of Contents | General Links | Textbook-Related Links | Review Material | Errors |

Several of the downloads will require the Java runtime system to be installed before they will run. The Java runtime system is free. The following links should get you close to the download pages.

- Windows, Linux and other Unix systems Look for the "Downloads" link. You want the Java SE (Java Standard Edition). The JRE (Java Runtime Environment) is sufficient; you do not need the full JDK (Java Developer's Kit).
- Macintosh, OS X and later comes with the Java runtime system pre-installed.

- MathWorld is one of the best general math references on the web.

- Llyod Shapley wins a Nobel Prize in Economics for "College Admissions and the Stability of Marriage", co-authored with David Gale.
- A Stable Marriage Pizza - Emily Heikes, Kaisa Messerly, Leah Fruechte
- Chapter Review

- Visualizing Induction
- Chess Boards: The chess board example on pages 143, 144 was introduced by S. W. Golomb. See the paper Checker Boards and polyominoes,
*The American Mathematical Monthly*, Vol. 61, No. 10 (Dec., 1954), pp. 675-682 - Proof Strategies
- Common Errors In Proofs
- An Enigma Machine Emulator
- Chapter Review

- Bloatbusters - look for the "down" links to read more
- http://www2.inf.fh-rhein-sieg.de/~pbecke2m/BM/BM.html: Dieter Bühler's Boyer-Moore and KMP emulator
*Halting Problem is Solvable*, by Bala Rajagopalan- Chapter Review

- VCP: Visualizing Combinatorial Proofs
- Amanda Nelson and Steven Yackel create a pizza in honor of the Pigeon Hole Principle.
- Sacajawea Written by Lara Marks when she was a student at Washington University, St. Louis, Missouri. Used by permission.
- Sacajawea From Native American Women
- Chapter Review

- RecursionDemo A Java application. Requires the java runtime system. Right-click and save the link. Double-click on RecursionDemo.jar to run the program.
- Persian Rugs Applet
- Sierpinski Curves A Mathematica notebook. Right-click and save the link.
- Adaptive Quadrature Demo A Java application. Requires the java runtime system. Right-click and save the link. Double-click on AQ.jar to run the program.
- The Tower of Hanoi Puzzle
- The impossibility of solving general quintics in radicals
- Solving the Quintic with Mathematica
- Some hints about early versions of the Josephus Problem. (Near the end of the article by David Singmaster.) Singmaster states elsewhere that Cardan was the first to connect this problem with Josephus (in 1539).
- Chapter Review

- A pdf file that combines the proof of Theorem 8.13 and Example 8.8.
- Instructors who have adopted the text may request code to solve knapsack problems. Code is currently available in Java.
- The Extended version of Theorem 8.43 (Knapsack Heuristic)
- A pdf file containing Examples 8.50 and 8.51 (illustrating Theorem 8.63).
- Magic Squares
- Western Square Dance
- Chapter Review

- "Matthew Chapman's FSME - Finite State Machine Explorer A Java applet or application. Requires the java runtime system.
- A web page for testing regular expressions.
- dmgrep: a perl script for testing regular expressions Right-click and save the link.
- Janelle Johnson's version of the Pumping Lemma.
- Cookies and Finite State Automata - Elizabeth O'Connor, Emily Stavem, Janelle Johnson, Kelly Kirkwood
- CPAN - the Comprehensive Perl Archive Network Look at the
*binary distributions*link. - A regular expression that matches valid email addresses (full
generality). From http://www.regexlib.com/DisplayPatterns.aspx
([a-zA-Z0-9_\-\.]+)@((\[[0-9]{1,3}\.[0-9]{1,3}\.[0-9]{1,3}\.)|(([a-zA-Z0-9\-]+\.)+))([a-zA-Z]{2,4}|[0-9]{1,3})(\]?)

- Chapter Review

- Modern Day Königsberg
- A satellite image of Kaliningrad from Google Maps. Two of the bridges have been removed (so the graph is now a simple graph).
- The fork in the river eventually rejoins.
- The Sandbox Applet
- The Sandbox Application. Requires the files Sandbox.jar and
graph.dtd. Double-click on Sandbox.jar to
run the program.
Note: Your web browser may try to save these files as zip or HTML files. Select "All Files" (if available) and make sure they are named exactly as shown on this web page.

- Sandbox.jar (version 1.1) Right-click and save the link.
- graph.dtd Right-click and save the link.

- Sample data files for Sandbox. Right-click and save the
link(s).
- Alien Spaceship
- Grotztsch
- Heawood
- Konigsberg
- K
_{3,3} - K
_{5} - Petersen
- Tutte
- Errera This graph can be used to show that the Kempe chain proof of the five color theorem (Theorem 10.53) cannot be modified to produce a proof of the four color theorem. The key idea is to color G' so that every vertex is adjacent to vertices with every other color.

- An online game to find planar embeddings for planar graphs. It starts with easy examples and gets progressively more difficult.
- The Tutte Graph
- The graph for Exercise 21 on page 650.
- http://www.maa.org/devlin/devlin_01_05.html: Last doubts removed about the proof of the Four Color Theorem from MAA Online
- Dijkstra's algorithm (Table 10.6) and Table 10.8 on a single page.
- Chapter Review

- Richard Tobin's rxp A simple validating XML parser. Direct Download
- Chapter Review

- Data file for paper-rock-scissors circuit Right-click and save the link. Requires Logisim.
- QuineMcCluskey Applet Requires the Java plugin for your web browser.
- QuineMcCluskey Application Requires the Java runtime system. Right-click and save the link. Double-click QuineMcCluskey.jar to run the program.
- http://www.maa.org/mathland/mathtrek_10_19_98.html: Driver's License
- The Lady Bird Johnson Wildflower Center Master Plant List
- The error function, erf(x)
- Carl Burch's
Logisim A logic circuit
simulator.
- Data file for paper-rock-scissors circuit Right-click and save the link. Requires Logisim.

- Chapter Review

Last Updated 8-30-2013 (m-d-y)