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What should computer science students learn from mathematics?

Published: 01 June 2005 Publication History

Abstract

There is an important difference between the title and "What Mathematics should Computer Science students learn?" This talk addresses both questions. To do so, it brings together some examples that illustrate the current state of computer science and information technology.

References

[1]
www.acm.org/sigcse/cc2001 (Computing Curricula 2001).
[2]
www.cse.iitk.ac.in/news/primality.html (PRIMES is in P).
[3]
www.claymath.org/millennium/ (Millennium Problems).
[4]
developer.netscape.com/docs/manuals/security/pkin/contents.htm (Introduction to Public-Key Cryptography).
[5]
world.std.com/-franl/crypto/rsa-guts.html (The Mathematical Guts of RSA Encryption).
[6]
www.qubit.org/library/intros/cryptana.html (Quantum Cryptoanalysis).
[7]
www-unix.oit.umass.edu/~dtillber/mandelbrotzooml.html (Mandelbrot Zoom Animation).
[8]
www.itprc.com/tcpipfaq/default.htm (TCP/IP FAQ).
[9]
www2.cs.uregina.ca/~tang112x/research/papers/2003s/DavidMaier.htm (The Theory of Relational Databases).
[10]
www.xml.com (What is XML?).
[11]
kuhttp.cc.ukans.edu/cwis/units/IPPBR/pentium_fdiv/pentgrph.html (The Pentium FDIV Bug).
[12]
www.teamten.com/lawrence/290.paper /node3.html (Impossibility of Distributed Consensus with One Faulty Process).
[13]
encyclopedia.thefreedictionary.com/Randomized+algorithm (Randomized Algorithm).
[14]
www.cryptomathic.com/labs/rabinprimalitytest.html (Miller-Rabin Primality Test).
[15]
epubs.siam.org/sam-bin/dbq/article/24470 (A Pseudorandom Generator from any One-way Function).
[16]
www.ipnsig.org (Interplanetary Internet Project).
[17]
www.physicscentral.com/writers/writers-00-2.html (Einstein's Relativity and Everyday Life).
[18]
en.wikipedia.org/wiki/Halting_problem (Halting Problem).
[19]
mathworld.wolfram.com/Church-TuringThesis.html (Church-Turing Thesis).
[20]
en.wikipedia.org/wiki/Turing_machine (Turing Machine).
[21]
www.computer.org/software/articles/se-math.htm (How Important is Mathematics to the Software Practitioner?).
[22]
www.tsp.gatech.edu (Traveling Salesman Problem).
[23]
dbpubs.stanford.edu:8090/pub/2003-20 (The Second Eigenvalue of the Google Matrix).
[24]
www.siggraph.org/s2002/conference/courses/crs10.htm1 (Level Set and PDE Methods for Computer Graphics).
[25]
www.researchmagazine.uga.edu/spring2004/math.htm (Wind, Water & --- Math?).
[26]
http://research.sun.com/spotlight/2004-05-10.godel.html (The Topological Structure of Asynchronous Computability).
[27]
www.idinews.com/bufOvfl.html (Buffers Don't Overflow on Their Own!).
[28]
www.around.com/ariane.html (A Bug and a Crash).
[29]
www.cs.huji.ac.il/~doria/markovchains.huji2002.html (Markov Chains in Theoretical Computer Science).
[30]
world.std.com/~dpj/elliptic.html (Elliptic Curve Cryptography).
[31]
www.gvu.gatech.edu/people/faculty/greg.turk/math_gr.html (Mathematics for Computer Graphics).
[32]
www.financialcryptography.com/mt/archives/000147.html (Turing Lecture by Adi Shamir).
[33]
icnp03.cc.gatech.edu/icnp03-panel-sollins.ppt#1 (Report on NREDS at SIGCOMM 2003: Where is the science in network research?).
[34]
www-106.ibm.com/developerworks/xml/library/x-matters8 (XML Matters: Putting XML in context with hierarchical, relational, and object-oriented models).
[35]
pages.towson.edu/ghan/Teaching/Summer2004/M273/history_of_limits.htm (History of Limits).
[36]
members.fortunecity.com/kokhuitan/complexno.html (The Story of Complex Numbers).
[37]
www.faragher.freeserve.co.uk/godeldef2.htm (Godel's Incompleteness Theorem).
[38]
www.win.tue.nl/~gwoegi/P-versus-NP.htm (P-versus-NP).
[39]
www.pbs.org/wgbh/aso/databank/entries/bpgell.html (Murray Gell-Mann).
[40]
www.complexityzoo.com (Complexity Zoo).
[41]
math.ucr.edu/home/baez/physics/ParticleAndNuclear/particle_zoo.html (Particle Zoo).
[42]
www.worldhistory.com/wiki/1/list-of-mathematical-logic-topics.htm (List of Mathematical Logic Topics).

Cited By

View all
  • (2014)An Instrument to Measure Math Attitudes of Computer Science StudentsInternational Journal of Information and Education Technology10.7763/IJIET.2014.V4.4504:5(459-462)Online publication date: 2014
  • (2011)Indian Women and Mathematics for Computer ScienceIEEE Technology and Society Magazine10.1109/MTS.2011.94029430:1(39-46)Online publication date: Sep-2012

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Published In

cover image ACM SIGACT News
ACM SIGACT News  Volume 36, Issue 2
June 2005
101 pages
ISSN:0163-5700
DOI:10.1145/1067309
Issue’s Table of Contents

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 June 2005
Published in SIGACT Volume 36, Issue 2

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Cited By

View all
  • (2014)An Instrument to Measure Math Attitudes of Computer Science StudentsInternational Journal of Information and Education Technology10.7763/IJIET.2014.V4.4504:5(459-462)Online publication date: 2014
  • (2011)Indian Women and Mathematics for Computer ScienceIEEE Technology and Society Magazine10.1109/MTS.2011.94029430:1(39-46)Online publication date: Sep-2012

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