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Home : Math : Higher Mathematics : Discrete Mathematics : Rosen, Discrete Mathematics and Its Applications, 6th Edition : Chapter 05
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  • Page 337 - Section 5.1
    North American Numbering Plan Administration -- Details of the North American Numbering Plan (NANP), the numbering plan for the Public Switched Telephone Network in North America and the Caribbean, can be found here.
    http://www.nanpa.com/
    (Added: Fri Jul 28 2006)
  • Page 337 - Section 5.1
    E.164 Country Codes -- The North American number plan is part of the larger International Telecommunications Union E.164 specifications for telephone numbers worldwide. You can see a list of all the E.164 country codes here.
    http://www.itu.int/itudoc/itu-t/ob-lists/icc/e164_763.pdf
    (Added: Fri Jul 28 2006)
  • Page 341 - Section 5.1
    Understanding IP Addressing: Everything You Ever Wanted to Know -- You can learn more about IP addresses by consulting this site.
    http://www.accuport.com/IPAddressing.asp
    (Added: Fri Jul 28 2006)
  • Page 347 - Section 5.2
    The Pigeonhole Principle -- Three examples illustrating uses of the pigeohole principle can be found at Larry W. Cusick's website here.
    http://zimmer.csufresno.edu/~larryc/proofs/proofs.pigeonhole.html
    (Added: Fri Jul 28 2006)
  • Page 347 - Section 5.2
    Pigeonhole Principle -- A variety of applications of the pigeonhole principle can be found on the Interactive Mathematics and Miscellany site here.
    http://www.cut-the-knot.com/do_you_know/pigeon.html
    (Added: Fri Jul 28 2006)
  • Page 348 - Section 5.2
    Johann Peter Gustav Lejeune Dirichlet -- A biography and a portrait of Dirichlet can be found at the History of Mathematics Archive at the University of St. Andrews, Scotland.
    http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Dirichlet.html
    (Added: Fri Jul 28 2006)
  • Page 352 - Section 5.2
    Frank Plumpton Ramsey -- A biography and a photo of Frank Plumpton Ramsey can be found at the History of Mathematics Archive at the University of St. Andrews, Scotland.
    http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Ramsey.html
    (Added: Fri Jul 28 2006)
  • Page 352 - Section 5.2
    Ramsey Numbers (in Eric Weisstein's World of Mathematics) -- An informative article about Ramsey numbers including up-to-date information about what is currently known about their values can be found in the article on Ramsey numbers in Eric Weisstein's World of Mathematics here.
    http://mathworld.wolfram.com/RamseyNumber.html
    (Added: Fri Jul 28 2006)
  • Page 355 - Section 5.3
    Combinatorial Structures -- A review of combinatorial structures useful in probability can be found at the Virtual Laboratories in Probability and Statistics site, written by Kyle Siegrist and Jason York at the University of Alabama at Huntsville.
    http://www.math.uah.edu/stat/foundations/Structures.xhtml
    (Added: Fri Jul 28 2006)
  • Page 355 - Section 5.3
    Permutations and Combinations -- You can find information on permutations and combinations at the Data Interpretation & Probability site here.
    http://www.omegamath.com/Data/d2.2.html
    (Added: Fri Jul 28 2006)
  • Page 355 - Section 5.3
    Counting Problems -- You can find information about counting with and without repetition here.
    http://www.ping.be/~ping1339/tel.htm
    (Added: Fri Jul 28 2006)
  • Page 355 - Section 5.3
    AMOF: Amazing Mathematical Object Factory -- An excellent introduction to combinations and permutations can be found at the Amazing Mathematical Object Factory.
    http://theory.cs.uvic.ca/amof/
    (Added: Fri Jul 28 2006)
  • Page 357 - Section 5.3
    Combinatorial Structures -- A review of combinatorial structures useful in probability can be found at the Virtual Laboratories in Probability and Statistics site, written by Kyle Siegrist and Jason York at the University of Alabama at Huntsville.
    http://www.math.uah.edu/stat/foundations/Structures.xhtml
    (Added: Fri Jul 28 2006)
  • Page 357 - Section 5.3
    AMOF: Amazing Mathematical Object Factory -- An excellent introduction to combinations and permutations can be found at the Amazing Mathematical Object Factory.
    http://theory.cs.uvic.ca/amof/
    (Added: Fri Jul 28 2006)
  • Page 357 - Section 5.3
    Permutations and Combinations -- You can find information on permutations and combinations at the Data Interpretation & Probability site here.
    http://www.omegamath.com/Data/d2.2.html
    (Added: Fri Jul 28 2006)
  • Page 357 - Section 5.3
    Counting Problems -- You can find information about counting with and without repetition here.
    http://www.ping.be/~ping1339/tel.htm
    (Added: Fri Jul 28 2006)
  • Page 363 - Section 5.4
    Binomial Theorem -- An informative paper by Helen Scanlon (originally published in Reflections magazine) on the binomial theorem can be found here.
    http://hsc.csu.edu.au/maths/ext1/binomial_theorem/140/binomial.html
    (Added: Fri Jul 28 2006)
  • Page 366 - Section 5.4
    All you Ever Wanted to Know About Pascal’s Triangle and more -- To see how Pascal’s triangle can be constructed and to explore its many properties, check out this site.
    http://ptri1.tripod.com/
    (Added: Fri Jul 28 2006)
  • Page 366 - Section 5.4
    Pascal’s Triangle from Top to Bottom -- This site advertises itself as “your one place shop on the Web for all your binomial coefficient needs® True to its name, you can find a wide variety of content on this site, including properties of the binomial coefficients, Pascal’s triangle, history, identities and their proofs, applications, and algorithms.
    http://binomial.csuhayward.edu/
    (Added: Fri Jul 28 2006)
  • Page 366 - Section 5.4
    Pascal's Triangle Interface -- An applet that lets you explore the entries of Pascal’s triangle modulo an integer from 2 to 16 can be found here.
    http://www.cecm.sfu.ca/organics/papers/granville/support/pascalform.html
    (Added: Fri Jul 28 2006)
  • Page 368 - Section 5.4
    Alexandre-Théophile Vandermonde -- A brief biography of Vandermonde can be found at the MacTutor History of Mathematics Archive at the University of St. Andrews, Scotland.
    http://www-groups.dcs.st-andrews.ac.uk/~history/Mathematicians/Vandermonde.html
    (Added: Fri Jul 28 2006)
  • Page 370 - Section 5.5
    Counting Problems -- You can find information about counting with and without repetition here.
    http://www.ping.be/~ping1339/tel.htm
    (Added: Fri Jul 28 2006)
  • Page 376 - Section 5.5
    Objects in Boxes -- Counting the number of ways that distinguishable/indistinguishable objects can be placed in distinguishable/indistinguishable boxes is studied here.
    http://mcraefamily.com/MathHelp/CountingObjectsInBoxes.htm
    (Added: Fri Jul 28 2006)
  • Page 378 - Section 5.5
    Stirling numbers of the second kind -- To learn more about Stirling numbers of the second kind, consult Robert M. Dickau’s site.
    http://mathforum.org/advanced/robertd/stirling2.html
    (Added: Fri Jul 28 2006)
  • Page 382 - Section 5.6
    Combinatorial Object Server -- The Combinatorial Object Server, developed by Frank Ruskey, provides interactive programs for generating all the permutations, all the k-permutations, all the combinations, and all the combinations with at most k elements of a set with n elements, where n and k cannot exceed some reasonable large values. It also has programs for generating all the permutations and combinations of a multiset, which can be used to generate permutations and combinations when repetition of objects is allowed. Source code in C and/or Pascal can be downloaded for many of these programs. You can generate all the solutions to the n-queens problem in Section 10.4.
    http://www.theory.cs.uvic.ca/~cos/cos.html
    (Added: Fri Jul 28 2006)
  Pages: 1 2 [>>]
 
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