 | | Home : Math : Higher Mathematics : Discrete Mathematics : Rosen, Discrete Mathematics and Its Applications, 6th Edition : Chapter 02 | | LINKS: |  | - Page 111 - Section 2.1
The Beginning of Set Theory -- More information about the history of set theory can be found at the MacTutor History of Mathematics Archive at the University of St. Andrews, Scotland
http://www-history.mcs.st-and.ac.uk/history/HistTopics/Beginnings_of_set_theory.html
(Added: Fri Jul 28 2006)
- Page 111 - Section 2.1
The Mathematical Atlas: Set Theory -- More information on set theory can be found at the Mathematical Atlas website.
http://www.math.niu.edu/~rusin/known-math/index/03EXX.html
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- Page 113 - Section 2.1
George Ferdinand Ludwig Philipp Cantor -- A biography and a photograph of Georg Cantor can be found at the MacTutor History of Mathematics Archive at the University of St. Andrews, Scotland.
http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Cantor.html
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- Page 114 - Section 2.1
Bertrand Arthur William Russell -- A biography and a photograph of Bertrand Russell can be found at the MacTutor History of Mathematics Archive at the University of St. Andrews, Scotland.
http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Russell.html
(Added: Fri Jul 28 2006)
- Page 115 - Section 2.1
John Venn -- Biographical information about John Venn can be found at the MacTutor History of Mathematics Archive at the University of St. Andrews, Scotland.
http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Venn.html
(Added: Fri Jul 28 2006)
- Page 117 - Section 2.1
René Descartes -- Biographical information and a portrait of René Descartes can be found at the MacTutor History of Mathematics Archive at the University of St. Andrews, Scotland.
http://www-history.mcs.st-and.ac.uk/history/Mathematicians/Descartes.html
(Added: Fri Jul 28 2006)
- Page 121 - Section 2.1 Exercise #38a
Paradoxes -- You can find a collection of many intriguing paradoxes including those relating to logic and to sets, as well as paradoxes from literature, at this amusing and highly informational site. See whether you can find the errors in the incorrect proofs called "arithmetic and algebraic paradoxes."
http://www.wordsmith.demon.co.uk/paradoxes/#barber
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- Page 121 - Section 2.1 Exercise #38a
Russell's Paradox -- The on-line Stanford Encyclopedia of Philosophy contains an excellent discussion of Russell's paradox.
http://plato.stanford.edu/archives/win1997/entries/russell-paradox/
(Added: Fri Jul 28 2006)
- Page 121 - Section 2.1 Exercise #38a
Russell's Paradox -- You can also read more about Russell's paradox at the Cut-the-Knot site.
http://www.cut-the-knot.com/selfreference/russell.html
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- Page 121 - Section 2.1 Exercise #38a
Notes on Set Theory -- Material on set theory and set operations can be found at the Department of Mathematics of the University of California of San Bernardino website.
http://www.math.csusb.edu/notes/sets/sets.html
(Added: Fri Jul 28 2006)
- Page 121 - Section 2.2
More on Set Operations -- Material on set operations can be found at the Math Notes site of the Department of Mathematics of the University of California at San Bernardino.
http://www.math.csusb.edu/notes/sets/node2.html
(Added: Fri Jul 28 2006)
- Page 132 - Section 2.2 Exercises
About the FLLL -- Information about fuzzy logic can be found here.
http://www.flll.uni-linz.ac.at/navigation/main_navigation/frame_aboutus.html
(Added: Fri Jul 28 2006)
- Page 136 - Section 2.3
Proving Functions One-to-One -- Consult the following page by Peter Williams to see how to show functions are one-to-one.
http://www.math.csusb.edu/notes/proofs/bpf/node4.html
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- Page 137 - Section 2.3
Proving Functions Onto -- Consult the following page by Peter Williams to see how to show functions are onto.
http://www.math.csusb.edu/notes/proofs/bpf/node5.html
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- Page 143 - Section 2.3
Floor Function -- Consult this Wikipedia article to learn more about the floor and ceiling functions.
http://en.wikipedia.org/wiki/Floor_function
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- Page 145 - Section 2.3
James Stirling -- A biography of James Stirling can be found at the MacTutor History of Mathematics archive at the University of St. Andrews, Scotland.
http://www-history.mcs.st-andrews.ac.uk/Biographies/Stirling.html
(Added: Fri Jul 28 2006)
- Page 153 - Section 2.4
Sloane's On-Line Encyclopedia of Integer Sequences -- Neil Sloane's On-Line Encyclopedia of Integer Sequences Web site can be used to determine the possible identity of an integer sequence from its first few terms. To use the site for this purpose, enter the first few terms of a sequence and click to get feedback on which sequence or sequences may be the sequence of interest. This site also offers the opportunity to check out some "hot sequences" and offers some puzzle sequences that are quite challenging.
http://www.research.att.com/~njas/sequences/index.html
(Added: Fri Jul 28 2006)
- Page 154 - Section 2.4
Neil Sloane (Home Page) -- For more information about Neil Sloane and his many activities and interests consult his home page here.
http://www.research.att.com/~njas/
(Added: Fri Jul 28 2006)
- Page 160 - Section 2.4
Cantor's diagonal argument -- You can read about Cantor's diagonalization argument in this Wikipedia article.
http://www.wikipedia.com/wiki/Cantors_Diagonal_argument
(Added: Fri Jul 28 2006)
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