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Eric Gossett Discrete Mathematics With Proof Pdf

Written By Thursday, November 18, 2021 Add Comment Edit

Discrete Mathematics With Proof, Second Edition

John Wiley & Sons logo John Wiley & Sons, Inc.

10 digit ISBN: 0470457937     13 digit ISBN: 9780470457931

Now available.

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

A picture of a potential front cover.

General Links

Java

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

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

Table of Contents - a student comentary

  • How many chapters should you read?

Textbook-Related Links

Chapter 1

  • 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

Chapter 2

  • Chapter Review

Chapter 3

  • 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

Chapter 4

  • Bloatbusters - look for the "down" links to read more
  • Dieter Bühler's Boyer-Moore and KMP emulator
    • Download (right-click and save) the java application BoyerMoore.jar.
    • You will need the java runtime system. Double-click the jar file, or from acmd or terminal window trype java -jar BoyerMoore.jar.
  • Halting Problem is Solvable, by Bala Rajagopalan
  • Chapter Review

Chapter 5

  • VCP: Visualizing Combinatorial Proofs
  • Amanda Nelson and Steven Yackel create a pizza in honor of the Pigeon Hole Principle.
    • dough
    • with toppings
    • out of the oven
  • 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

Chapter 6

  • A SPAM filter based upon Baysian Statistics
  • Chapter Review

Chapter 7

  • 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 Application
  • 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

Chapter 8

  • 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

Chapter 9

  • "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

Chapter 10

  • 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 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
    • K3,3
    • K5
    • 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

Chapter 11

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

Chapter 12

  • 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.
  • Driver's License Codes
  • Mathematical Adventures For Students and Amateurs, David F. Hayes and Tatiana Shubin, editors
    • Includes an article by Joseph Gallian on driver's license codes.
  • 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

Appendix G

  • Writing Mathematics - Extended Version

Appendix I

  • Common Errors In Proofs - Online Appendix

Review Material

Chapter 1

Chapter 2

Chapter 3

Chapter 4

Chapter 5

Chapter 6

Chapter 7

Chapter 8

Chapter 9

Chapter 10

Chapter 11

Chapter 12

Last Updated 11-28-2018 (m-d-y)

Eric Gossett Discrete Mathematics With Proof Pdf

Source: https://www.mathcs.bethel.edu/~gossett/DiscreteMathWithProof/

Posted by: camachowering.blogspot.com

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