Geometry.Net - Math_Help_Desk: Math References

Discovery Of A Lost Factoring Machine
Built by a French amateur, E.O. Carissan, around 1919. Shallit, Williams and Morain include photographs and references to their paper.
http://www.math.uwaterloo.ca/~shallit/Papers/carissan.html

Extractions: In this paper, we discuss our discovery of a lost factoring machine, built by a French amateur, E.-O. Carissan, around 1919. The machine was located in the Observatoire de Bordeaux in Floirac, France, where it had been sitting in a drawer for approximately fifty years. Recently, this machine acquired a new home at the in Paris. This paper has appeared in the Mathematical Intelligencer (3) (Summer 1995), 41-47. Click here for additional color pictures of this machine. shallit@graceland.uwaterloo.ca
Eric Weisstein's World Of Mathematics
Glossary of terms. Material ranges from undergraduate to research level.Category Science math 11,165 entries (more than one myriad), 100,814 crossreferences, 5,264 figures, 226 thisYear's Joint mathematics Meeting Attending the Joint math Meeting this
http://mathworld.wolfram.com/
26: Real Functions
Real Functions entry from The Mathematical Atlas. Contains history, subfields, and many other references.
http://www.math.niu.edu/~rusin/known-math/index/26-XX.html

Extractions: POINTERS: Texts Software Web links Selected topics here Real functions are those studied in calculus classes; the focus here is on their derivatives and integrals, and general inequalities. This category includes familiar functions such as rational functions. Calculus information goes here, perhaps. It is the express intention to exclude from this site any routine examples or theorems from comparatively elementary subjects such as introductory calculus. However, there are a few gems, some FAQs, and some nice theory even in the first semester course. There are some more subtle topics which don't often make it to a first-year course. Some elementary calculus topics may likewise be appropriate for inclusion in 28: Measure and Integration 40: Sequences and Series Approximations and expansions , and so on. Use of Newton's method is part of Optimization Articles which use results from calculus to solve some problem in, say, geometry would be included in that other page.)
F. Conjectures (Math 413, Number Theory)
A collection of easily stated conjectures which are still open. Each conjecture is stated along with a collection of references.
http://www.math.umbc.edu/~campbell/Math413Fall98/Conjectures.html

Extractions: F. Conjectures Number Theory, Math 413, Fall 1998 A collection of easily stated number theory conjectures which are still open. Each conjecture is stated along with a collection of accessible references. The Riemann Hypothesis Fermat Numbers Goldbach's Conjecture Catalan's Conjecture ... The Collatz Problem Def: Riemann's Zeta function, Z(s), is defined as the analytic extension of sum n infty n s Thm: Z( s )=prod i infty p i s , where p i is the i th prime. Conj: The only zeros of Z( s ) are at s s Thm: The Riemann Conjecture is equivalent to the conjecture that for some constant c x )-li( x c sqrt( x )ln( x where pi( x ) is the prime counting function. Def: n is perfect if it is equal to the sum of its divisors (except itself). Examples are 6=1+2+3, 28, 496, 8128, ... Def: The n th Mersenne Number, M n , is defined by M n n Thm: M n is prime implies that n n is perfect. (Euclid)
Exambot Math
references Handy reference sheets, including integral tables, rules of differentiation,and geometric formulae. math Links The best sites on the web for
http://www.exambot.com/math.html
Surveys In Dynamical Systems
references to several surveys and papers of introductory character which are available online.
http://www.math.sunysb.edu/dynamics/surveys.html

Extractions: An excellent introduction to the subject is Dynamics in One Complex Variable by J. Milnor, published by Vieweg 1999, 2nd edition 2000; Available through AMS (the original notes are available as preprint 90-5 ). A survey of the results on the geometry of polynomial Julia sets can be found in Local Connectivity of Julia Sets: Expository Lectures by J. Milnor and for a discussion of the combinatorics of the Mandelbrot set see Orbits, Rays and the Mandelbrot Set . Recent progress in the subject is surveyed in Frontiers in complex dynamics and The Classification of Conformal Dynamical Systems by C. McMullen, and Renormalization Ideas in Conformal Dynamics by M. Lyubich. For a measure/dimension theoretic viewpoint see the new survey by M. Urbanski, Measures and Dimensions in Conformal Dynamics
Matroid Miscellany
references, sources and open problem, collected by Thomas Zaslavsky.
http://www.math.binghamton.edu/zaslav/Matroids/
String Theory: A Happy Marriage Of Geometry And Physics
An introductory description of this theory with references to current work being done in the Netherlands.
http://www.math.leidenuniv.nl/~stieltjes/archief/biennial9596/frame/node5.html
Graphs Glossary
Short definitions with crossreferences by Bill Cherowitzo.
http://www-math.cudenver.edu/~wcherowi/courses/m4408/glossary.htm

Extractions: A B C D ... V-Z A digraph is acyclic if it contains no cycles A directed edge of a digraph. Some authors use it as a synonym for an edge of a graph. Other synonyms for arc in a digraph are arrow, directed line, directed edge, and directed link. A representation of a digraph using the arcs of the digraph. Can be an unordered listing of the ordered pairs, or a pair of ordered lists with the starting vertex in one list and the ending vertex in the corresponding position of the second list. A 0-1 square matrix whose rows and columns are indexed by the vertices. A 1 in the ij-th position of the matrix means that there is an edge (or arc ) from vertex i to vertex j. A indicates that there is no such edge (or arc). Can be used for both graphs and digraphs. A representation of a graph or digraph which lists, for each vertex, all the vertices that are adjacent to the given vertex. Two vertices are adjacent if they are connected by an edge . We often call these two vertices neighbors . Two adjacent vertices: A graph is bipartite if the vertices can be partitioned into two sets, X and Y, so that the only
Saint Albertus Magnus
Brief biography, with bibliographical references. From the Department of Mathematics, California State University, San Bernardino.
http://www.math.csusb.edu/history/public_html/Mathematicians/Albertus.html
Books On Algebra
A reading list by Lee Lady, University of Hawaii.
http://www.math.hawaii.edu/~lee/algebra/references.html

Extractions: This is a very nice, small, readable book. Most of all, it is interesting . It probably represents the strongest influence on the graduate algebra course I teach. 3 volumes, covering undergraduate algebra, standard graduate topics, and advanced topics. Horrendously expensive. This covers many of the important topics in both commutative and non-commutative ring theory in quite a bit of detail. I've only skimmed through it, but it looks like a good alternative to Hungerford or Lang. This is very readable and has a lot of good stuff that's too old fashioned to be included in many more modern books. This is somewhat comparable to the Jacobson book above. It's not quite as interesting, in my opinion, but it has a good exposition of the classical theory. Curtis and Reiner, Representations of Groups and Associative Algebras
Hot Math! References
HOT math ! Teaching takes place in teachercentred classes. Learningtakes place in student-centred classes. Backgrounds. mathematics
http://projects.edte.utwente.nl/hotmath/refs.htm

Extractions: student-centred classes. Backgrounds Mathematics lessons are more fun for both teacher AND student, when there is variation. Short videofilms, computers, recreational maths, practical problems are additional to the daily lessons in which the curriculum is strictly followed. Students are not empty vessels in which the mathematical knowlegde and skills can be poured. Besides practice, the students should discover and learn to discover. Mathematics is not merely reproducing but also actively producing. The manipulative materials in this HOTMath!-site are learners' materials and not demonstration aids for the teachers. Teaching aids which are held high in front of the classroom are important, too. They serve to explain. The HOTMath-materials are learning materials which serve to investigate mathematically. Short questions which need time to reply are more interesting than a long sequence of short answer questions. Very often students lose the thread because the question have no clear direction for them.
CCSN Mathematics References
This page is located online at http//www.ccsn.nevada.edu/math/references.htm.math 91. Prerequisite math 91. Possible references
http://www.ccsn.nevada.edu/math/references.htm

Extractions: The Diagnostic Test for any particular course is similar to the final exam for the prerequisite course. So, to prepare for a specific Diagnostic Test, familiarize yourself with the material covered in the prerequisite course. Although most textbooks are on reference in the CCSN Libraries, these references are provided as a courtesy. The CCSN Mathematics Department is not responsible for missing or outdated textbooks, or broken/expired website links. This page is located online at: http://www.ccsn.nevada.edu/math/references.htm Math 91 Basic College Mathematics
Welcome To The College Student Network!
math EnglishSpanish However, references to published solutions usually are included,so if you can get to a good library, you can probably get to a solution.
http://premiercollegestudent.com/memberaccess/search/References/Mathematics/Basi
Math On The Web: References
AMS Website math on the Web Reference Materials. Dictionary (U Chicago) This formof the MerriamWebster Pocket dictionary contains 22,700 references and about
http://www.ams.org/mathweb/mi-reference.html
Allmath.com Other Math Links
students/teachers/parents, includes lessons, tutorials, references and various algebracalculators. They have some neat tools! All Experts math Q A Volunteer
http://www.allmath.com/2mlinks.asp
EducaToys - Learning Math - Books And References
Learning math Books and references
http://www.educatoys.com/cgi-bin/list.cgi?page=Learning-Math-References
NetBSD Problem Report #11878: Math(3) References Non-existant Infnan(3) Man Page
``man math'' references infnan(3) as 1.5_ALPHA (rkrGENERIC) 0 Sun Aug 6 174422 PDT 2000 root@/usr/src/sys/arch/i386/compile/rkrGENERICi386
http://www.netbsd.org/cgi-bin/query-pr-single.pl?number=11878
EchoEcho.Com - References
FUNCTION. .GLOBAL. .math. .NUMBER. .OBJECT. .STRING. MICROSOFTCSS. NETSCAPE CSS. CSS COMPATIBILITY. OTHER references. 216 SAFE COLORS. NAMED COLORS.
http://www.echoecho.com/qrmath.htm
Math Markup Language (References)
Up Table of Contents, Working Draft 11Feb-98. references. Buswell, S., Healey , ER Pike, and M. Pike; SGML and the Semantic Representation
http://www.w3.org/TR/1998/REC-MathML-19980407/refs.html

Extractions: UIUC Digital Library Initiative SGML Mathematics Workshop, May 1996 and SGML Europe 96 Conference, Munich 1996 Chaudry,T.W., P.R.Barrett, and C.Batey; "The Printing of Mathematics. Aids for authors and editors and rules for compositors and readers at the University Press, Oxford", Oxford University Press, London, 1954, ix + 105 pp. Drucker,Peter; Forbes, 10 Mar 1997 [quoted by Gene Klotz] Higham, Nicholas J.; Handbook of writing for the mathematical sciences. Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1993. xii+241 pp. ISBN: 0-89871-314-5 Knuth, Donald E.; The T E Xbook. American Mathematical Society, Providence, RI and Addison-Wesley Publ. Co., Reading, MA, 1986, ix + 483 pp. ISBN: 0-201-13448-9 http://www.w3.org/pub/WWW/TR/REC-CSS1 OpenMath Release 1, December 1996; www.openmath.org Pierce, John R.; "An Introduction to Information Theory". Symbols, Signals and Noise.", Revised edition of "Symbols, Signals and Noise: the Nature and Process of Communication" (1961). Dover Publications Inc., New York, 1980, xii + 305 pp. ISBN 0-486-24061-4 Poppelier, N.A.F.M., E. van Herwijnen, and C.A. Rowley; "Standard DTD's and Scientific Publishing" , EPSIG News 5 (1992) #3, September 1992, 10-19.

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