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Living Mathematics Project


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Mathematics on the Internet

We collect below some of our favourite sites. If you have any additions to suggest, let us know. Please include your own annotations. (We reserve the right to choose among the suggestions and to edit annotations, however).


Cryptography

There is a lot on cryptography and especially Alan Turing: http://www.wadham.ox.ac.uk/~ahodges/Turing.html

Bletchley Park was once the home of British efforts at reading the Germans' mail. It is now a museum: http://www.cranfield.ac.uk/CCC/BPark/

Even the NSA has a site. Recently they released to public access nearly a half century of previously classified documents: http://www.nsa.gov:8080/programs/opendoor/pressrel.html One of the most interesting of these is Alan Turing's Enigma manual.


Mathematics in astronomy

Space mathematics from NASA: http://tommy.jsc.nasa.gov/~woodfill/SPACEED/SEHHTML/math.html

http://www.astro.virginia.edu/~eww6n/math/

Related material about the geometry of the Solar system: http://www.jpl.nasa.gov/basics/bsf-toc.htm


History

http://stat.tamu.edu/~dcljr/euclid.html

There are several copies of the Elements out there. There is even one which is animated, but it is not so clear to us that Euclid benefits more from this than from the extremely useful additional remarks in Heath's edition. http://aleph0.clarku.edu/~djoyce/java/elements/elements.html

And one huge archive: http://www-groups.dcs.st-and.ac.uk/~history/


Mathematics in art

A miscellaneous collection, one of many things available from the Geometry Centre: http://www.geom.umn.edu/apps/gallery.html The Ashmolean Museum at Oxford University currently has two virtual art exhibits involving Mathematics. http://www.mhs.ox.ac.uk/exhibits/text.htm

A number of unlikely sources of mathematics:

An interesting and extensive tutorial on the geometry of vision: http://www.iitb.fhg.de/~cveducat/ECV_Tut_Proj_Geom/ProjGeometry.html

Mathematics in an unlikely but friendly environment: http://members.aol.com/mathquilt/index.html


Automata and artificial life

http://math.cornell.edu/~durrett/

http://alife.santafe.edu/alife/

http://math.wisc.edu/~griffeat/kitchen.html

http://math.wisc.edu/~griffeat/griffeat.html

http://alife.santafe.edu/alife/topics/simulators/dret/node1.html

A different kind of artificial life: http://www.krl.caltech.edu/~charles/home/work.html


General collections

This is one of the largest. It is not a profesional job, but it is nonetheless useful. http://www.astro.virginia.edu/~eww6n/math/

There are probably many large collections of stuff assembled by individuals, but the best one for the topics it covers is http://www.ics.uci.edu/~eppstein/"> http://www.ics.uci.edu/~eppstein/">http://www.ics.uci.edu/~eppstein/ A more particular idea of what's available there can be found at: http://www.ics.uci.edu/~eppstein/junkyard/all.html A good example of what he has is http://www.ics.uci.edu/~eppstein/junkyard/euler/

A comprehensive reference list: https://mathblog.com/reference/arithmetic/number-theory/

Once you could get in touch with real people on the Internet: http://kiwi.dep.anl.gov/askasci/1993/math.htm


Calculations

Jack Dongarra manages a group of programmers producing stuff for all of us: http://www.netlib.org/utk/icl.html Recently the group has turned to Java: http://www.netlib.org/benchmark/linpackjava/

Another source of Java numerical libraries: http://www.vni.com/products/wpd/jnl/jnl_1_0.html


Mathematics and physics

A short and pretty example: http://www.ccsf.caltech.edu/~roy/Caustic/index.html It would be nice to have a similar one for rainbows, or aberrations in optical systems.

Physics archives contain a lot of mathematics: http://preprints.cern.ch/


Geometry

One of many simple discussions of conic sections: http://jwilson.coe.uga.edu/emt669/Student.Folders/Jones.June/conics/conics.html

Some beautiful pictures: http://www.math.okstate.edu/~wrightd/

Notes from a summer course on geometry by Bill Thurston and others: and

The geometry forum is huge, and addresses a wide range of topics. It is not, however, of uniformly good quality.

One of our colleagues has essentially a complete course in mathematical graphics available: http://www.math.ubc.ca/people/faculty/cass/courses/m308-6b.html

One of the more interesting enthusiasts about producing mathematical pictures is http://www.best.com/~xah/. Particularly related to geometry is http://www.best.com/~xah/MathGraphicsGallery_dir/mathGraphicsGallery.html

Perhaps his best pictures: http://www.best.com/~xah/SpecialPlaneCurves_dir/ConicSections_dir/conicSections.html An unlikely source for geometry:

http://uces.ameslab.gov/uces/archive/resources/conics/node5.html There are several sites about 4D:

http://www.sover.net/~manx/hyprcube.html

A controversial matter: http://www.math.lsa.umich.edu/~hales/kepler.html

Something a bit more frivolous in geometry: http://kalama.doe.hawaii.edu/hern95/rt015/geo/index.html


Everything else

http://www.stupidity.com/

http://daisy.uwaterloo.ca/~alopez-o/math-faq/math-faq.html

http://www.ipk-gatersleben.de/~battjes/

One of the best individual pages: http://www.cs.auckland.ac.nz/CDMTCS/chaitin/

Another: http://www-cs-staff.stanford.edu/~knuth/

http://math.berkeley.edu/~brock/

http://www.cecm.sfu.ca/projects/ISC/

The level of whimsey is awesome. Pi is a winner: http://www.go2net.com/internet/useless/useless/pi.html

The other point of view: http://students.vassar.edu/~wilee/linear.html

One possible idea about what Mathematics Journals will look like in the future: http://www.maa.org/news/cvm.html

Java programming

An independent critic: http://sunsite.unc.edu/javafaq/


Last modified: April 15, 1997

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