41. Interesting Mathematical Links Search math references. MathSciNet Search Mathematical Reviews Searchable Online.Mathematics Professional Organizations. The American Math Society s home http://www.math.wustl.edu/interesting.html

Department of Mathematics Information of Mathematical Interest Search Math References MathSciNet Search Mathematical Reviews Searchable Online Mathematics Professional Organizations The American Math Society 's home page SIAM (Society for Industiral and Applied Mathematics) Homepage The Mathematical Association of America 's home page Electronic Journals New York Journal of Mathematics . Our very own Prof. Rochberg is one of the editors! Electronic Research Announcements of the AMS Bulletin of the AMS Notices of the AMS Geometry and Topology ... Other Journals (Mostly subscribed) Electronic Preprints MSRI Fourier Institute Max-Planck Institute IMS at SUNYSB (Dynamical Systems). Algebraic Geometry Differential Geometry Functional Analysis Several Complex Variables ... Other Preprints at Florida State University. Research Centers and Institutes Geometry Center at the University of Minnesota Geometry Analysis Numerics and Graphics (GANG) at the University of Massachusetts, Amherst. Mathematical Sciences Research Institute at Berkeley Institute of Advanced Study at Princeton More Complete List at AMS History and Teaching History of Mathematics at Clark University History of Mathematics Information Miscellaneous Virtual Library Section A very comprehensive listing of Math department servers, TeX resources, and basically everything you could ever find on the web about math. A great place to cruise around for a while.

42. ProMath 4 - TeraTech Products Every single equation has been checked against standard math references and over80 corrections and improvements have been made. All the examples have been http://www.teratech.com/product/promath.dbm

TeraTech awarded GSA Schedule Government clients can now use GSA number GS-35F-0724P to speed purchases. WOW!! CFUNITED-05 Upcoming Classes Click a class for details. Sep. 20 Sep. 27 Sep. 28 Oct. 11 Oct. 25 SQL Server101 Nov. 29 CSSHandsOn Jan. 01 Register for our next round of classes here... Next MDCFUG meeting: Oct 11 Sean Corfield : Frameworks: Mach II or Fusebox 4.1? Jonathan Cogley : Test Driven Development more... knowledge custom programming products ... newsletter Products ProMath 4 Price: Order form Weight: Download demo Read PDF Manual Routines List Languages: VisualBasic QuickBasic PowerBasic ProMath adds 240 powerful math, statistical, physics and engineering routines to Basic. There are general routines for all common numerical problems. Both real and complex numbers are supported. ProMath comes with a 278 page manual that shows you how to use the routines and discusses common problems such as rounding error and numeric instability. Full source code is included for algorithm "tweaking". You get the power of FORTRAN with the ease of use of Visual Basic Over 240 math/ scientific/ engineering and statistics functions!

43. Math.com Student References Free math lessons and math homework help from basic math to algebra, geometryand beyond. Students, teachers, parents, and everyone can find solutions to http://www.math.com/students/references.html

Home Teacher Parents Glossary ... Email this page to a friend Resources Cool Tools References Test Preparation Study Tips ... Wonders of Math Search Find it Now at the Math.com Library Formulas - Formulas for all occasions. Graphing and Plotting See your graphs instantly! Dictionaries - Math words defined. Encyclopedias longer articles Math History - What happened when Biography and Quotes - Famous mathematicians and more. Science Fair Time - Plans and ideas for math projects. (Math Forum) Dictionaries Glossary of Math Terms - (K-8) from Harcourt School Publishers. English-Spanish Math Translation - Math terms translated from English to Spanish. Measurement Dictionary - Dictionary of measurement terms by the Center for Mathematics and Science Education University of North Carolina at Chapel Hill. Origins of Math Words - The history of mathematical terms. (Pat Ballew) Encyclopedias Mathematical Atlas - (High School +) Definitions of the fields that make up mathematics. (Dave Rusin)

44. 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

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 The Riemann Hypothesis 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. Thm: The only zeros of Z( s ) are at s s Conj: The only zeros of Z( s ) are at s =-2, -4, -6, ... and on the line Re( 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. Refs: Unsolved Problems Elementary Number Theory http://www.utm.edu/research/primes/notes/rh.html (notes in Chris Caldwell's Prime Pages) http://match.stanford.edu/rh/ (Dan Bump's notes) 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

45. Math.com References For Teachers Free math lessons, math help and lesson plans from basic math to algebra, geometryand beyond. Students, teachers, parents, and everyone can find solutions http://www.math.com/teachers/reference.html

Home Teacher Parents Glossary ... Email this page to a friend For Teachers Teacher Centers Recreational Math Problem of the Week ... At Home Resources Cool Tools References Test Preparation Study Tips ... Wonders of Math Search Reference Sources for Teachers Stop searching and start finding! Let Math.com show you the hidden math treasures of the Internet. Internet Reference Sources for You (or Your Students) Dictionaries Math words defined Math History and Biography What happened when and to whom? Formulas Formulas for every occasion Calculators - Instant online answers. Converters Got feet and need miles? We've got the converters! Internet Reference Sources for Teacher Research Library of Mathematics on the Internet - The Math Forum has assembled the premiere collection of resources and websites on math and math education. Completely annotated by math education experts, you will find what you need quickly and easily. Eisenhower National Clearinghouse for Mathematics and Science Education - Clearinghouse of information, research, and resources.

46. Some Problems In Matroid Theory Thomas Zaslavsky of Binghamton State University of New York presents brief descriptions and references. Find information on Bonin's Projective Bound including the maximum rflat, covering and packing by flats. http://www.math.binghamton.edu/zaslav/Matroids/matroidprobs.html

Some Problems in Matroid Theory Compiled by Thomas Zaslavsky Sources Oxley's book has an entire chapter of open problems. (Some may have been solved by now.) Joseph P.S. Kung has written two articles called ``surveys'' that are replete with new results and open problems: ``Extremal matroid theory'', in: Neil Robertson and Paul Seymour, eds., Graph Structure Theory , pp. 21-61. Contemporary Mathematics, Vol. 147. American Mathematical Society, Providence, R.I., 1993. ``Critical problems'', in: Joseph E. Bonin, James G. Oxley, and Brigitte Servatius, eds., Matroid Theory , pp. 1-127. Contemporary Mathematics, Vol. 197. American Mathematical Society, Providence, R.I., 1996. Some Problems I've Found Interesting Bonin's Projective Bound Suppose a simple matroid G of rank r that does not split has no more than q r-1 points in each cocircuit. Conjecture r - 1)/(q - 1), which is the number of points in an r-1-dimensional projective geometry of order q if such exists. Furthermore, the upper bound is attained only by projective geometries. "Splitting" means that G is the union of two disjoint proper flats. This problem was proposed by Joe Bonin.

47. Welcome To MacShareWare! Your Resource For Math & Science Shareware Internet reference library to assist K12 educators, parents and students in finding Macintosh math and science-related shareware, freeware, commercialware, and appropriate websites. Also includes items for a Teacher's Toolbox, including gradebooks. Also contains limited references for ESL Adult Phonics shareware. http://ecs.fullerton.edu/~jperryl/MacShareWare.html

You are the visitor to this page since September 1996 Last Updated 2/17/98 Visit MacCentric.com for more Macintosh Resources!

48. PCMI Problem Solving Resources Overview of seminars oriented towards problem solving. Includes sample problem sets, list of online resources, college mathematics journals, and useful books. Maintained by Andrew Bernoff (Harvey Mudd College). http://www.math.hmc.edu/~ajb/PCMI/problem_solve.html

Andrew J. Bernoff and Francis E. Su Harvey Mudd College Pizza and Problem Solving at PCMI For 2005 Prof. Andrew Bernoff ran a problem session called The Sum of the Parts on geometric dissection problems. Prof. Francis Su ran a problem session called The Extreme Principle on analyzing problems by considering extreme cases. For 2004 Prof. Francis Su ran two seminars, the first on The Pigeonhole Principle and the second called Cubes and Other Geometric Objects For 2003 Prof. Andrew Bernoff ran two seminars one called Induction and Deduction and one called Parity and Invariants Problem Solving at Harvey Mudd College At Harvey Mudd College we run a variety of seminars oriented towards problem solving: The Harvey Mudd College Putnam Resource Page is a collection of links, pictures and resources skewed towards HMC's Putnam program Putnam Classic - This is a seminar aimed at college underclassmen, and is certainly suitable for freshmen. Typically, I give a short lecture on a subject, such as induction, and then hand out a slate of problems. students work in small groups, and forty-five minutes later pizza arrives, and students present their problems. Here is a problem set on induction and the latex source file . Here are some pictures from the HMC Putnam Seminar Putnam TNG This is a more advanced seminar ("TNG" stands for the "The Next Generation" a reference familiar to the trekkies among you) oriented around exclusively Putnam problems. Problems are handed out each week and the students are expected to have worked at least one problem and to be ready to present it in class. We again group problems by subject. Here is

49. Math Forum - Ask Dr. Math Explains how these very large numbers (1 followed by a hundred zeroes, and 1 followed by a google of zeroes, respectively) were named. With links to references. From Swarthmore's Dr. math. http://mathforum.org/library/drmath/view/57575.html

Associated Topics Dr. Math Home Search Dr. Math Googol, Kasner, and Milton Sirotta Date: 07/14/99 at 16:55:09 From: Melanie Subject: Powers of 10 Who coined the phrase "googleplex," and when? I have used several search engines and they have the definition, but not the origin. Thank you for your consideration, Melanie Date: 07/15/99 at 11:59:13 From: Doctor Peterson Subject: Re: Powers of 10 Hi, Melanie. We get questions about this frequently, so I did a little extra research to find the details beyond what's in our archives. Here's a page on the Web that tells about the origin of the words googol and googolplex: How Many? A Dictionary of Units of Measurement http://www.unc.edu/~rowlett/units/dictG.html This says: "googol a unit of quantity equal to 10^100 (1 followed by 100 zeroes). The googol was invented by the American mathematician Edward Kasner (1878- 1955) in 1938. According to the story, Kasner asked his nephew Milton Sirotta, who was then 8 years old, what name he would give to a really large number, and "googol" was Milton's response. Kasner also defined the googolplex, equal to 10^googol, that is, 1 followed by a googol of zeroes. These inventions caught the public's fancy and are often mentioned in discussions of very large numbers." A slightly different version is in Googolplex http://www.fpx.de/fp/Fun/Googolplex/

50. Chaos, Fractals, And Arcadia Article on the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia. Includes examples, illustrations and references. http://math.bu.edu/DYSYS/arcadia/

Chaos, Fractals, and Arcadia Robert L. Devaney Department of Mathematics Boston University Boston, MA 02215 Below you will find an animated description of some of the mathematical ideas lurking in the background of Tom Stoppard's play Arcadia . For access to some of the mathematical software that generates some of the images contained herein, visit the Dynamical Systems and Technology Project at Boston University. To purchase a video involving some of the mathematical ideas in Arcadia, together with a taped discussion by Tom Stoppard, visit the Mathematical Sciences Research Institute at the University of California, Berkeley. Introduction Thomasina's Geometry of Irregular Forms The Chaos Game The Sierpinski Hexagon ... Some pictures from Arcadia We welcome your feedback on this material. Please send any comments or suggestions to Robert L. Devaney at bob@bu.edu Introduction (Next Section) (Return to Dynamical Systems and Technology Home Page

51. Marshall Hampton Research Page Links, animations, references, and a brief description of research into nbody problems. http://www.math.washington.edu/~hampton/research.html

This page is still under construction. My research: Central configurations in the n-body problem My primary areas of mathematics are, broadly speaking, dynamical systems and geometry. My thesis is in the field of celestial mechanics. It is on the concave central configurations of the 4-body problem. Central configurations can be thought of as generating self-similar solutions of the n-body problem, which is (classically, at least) the study of the dynamics of n point masses interacting according to Newtonian gravity. The three-body case was solved by Euler and Lagrange . Euler found that for any ordering of three collinear point masses there was a spacing of the masses making them a central configuration. Lagrange found that the only non-collinear three-body central configuration is the equilateral triangle, which is a central configuration for any three (positive) masses. Here's an animation of one of the solutions of Lagrange. Here's an animation of a concave 4-body central configuration . Its a typical example of the sort of central configuration that I have shown exists for any four (positive) masses. Papers and books related to my research: A good place to start is the book Celestial Encounters, by Florin Diacu and Philip Holmes. Newton's Clock: Chaos in the Solar System, by Ivars Peterson, is also a very good nontechnical book about celestial mechanics, although not as closely related to what I am working on.

52. Fluid Dynamics Picture Gallery Collection of experimental flow visualizations with brief explanations and references. http://www-math.mit.edu/~bush/gallery.html

P HOTO G ALLERY Home Research Interests [Photo Gallery]

53. Bibliographies On Mathematics Search enabled database of citations for a large selection of mathematical specialties. Authors may add bibliographic lists or contextual references to their work. http://liinwww.ira.uka.de/bibliography/Math/index.html

The Collection of Computer Science Bibliographies Collection Home Up: The Collection of Computer Science Bibliographies Bibliographies on Mathematics You can add bibliographies and references to this collection! Emphasis is on computational mathematics. Query: in any author title field Publication year : in: , since: , before: (four digit years) Options: Results as Citation Results in BibTeX 10 results per page 40 results per page 100 results per page 200 results per page sort by score year online papers only You may use Lucene syntax , available fields are: ti (title), au (author), yr (publications year). #Refs Bibliography Date Project Euclid (Hosted at Cornell University Library) Bibliography of the Journal of Mathematical Physics numdam Bibliography of the journal Linear Algebra and its Applications ... Open archive for conferences held by the Department of Mathematics - Politecnico di Milano Total number of references in this section Other Bibliographies on Mathematics This service is brought to you by Alf-Christian Achilles and Paul Ortyl Please direct comments to liinwwwa@ira.uka.de

54. 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

Search Subject Index MathMap Tour ... Help! ABOUT: Introduction History Related areas Subfields POINTERS: Texts Software Web links Selected topics here 26: Real functions Introduction 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. History Applications and related fields 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.)

55. Magic Squares An introduction, with algorithms for generating odd, and doubly even (4k) squares. references. http://www.jcu.edu/math/vignettes/magicsquares.htm

Vignette 20 Magic Squares An normal magic square is an arrangement of the numbers 1, 2, 3, ... n in a square array, with the property that the sum of every row and column, as well as both diagonals, is the same number. An example of a normal magic square is You can verify that each of the three rows, the three columns, and the two diagonals add to 15. Magic Squares in History Magic squares have been studied for at least three thousand years, the earliest recorded appearance dating to about 2200 BC, in China. In the 9 th magic square with some very interesting properties is attributed to him. What is the Magic Sum? Given an normal magic square, suppose M is the number that each row, column and diagonal must add up to. Then since there are n rows the sum of all the numbers in the magic square must be . But the numbers being added are 1, 2, 3, ... n , and so 1 + 2 + 3 + ... + n . In summation notation, . Using the formula for this sum, we have , and then solving for M gives . Thus, a normal magic square must have its rows, columns and diagonals adding to

56. Exambot Math University math exams with solutions. references Handy reference sheets,including integral tables, rules of differentiation, and geometric formulae. http://www.exambot.com/math.html

Check one: Home Procrastinate Study My Exambot Help Math Topics Find the exact math topic you want to tackle, and access all of the materials pertaining to it. Exams Final exams and Quizzes for Differential Calculus and Limits. Problems Search for individual exam problems in a wide range of math topics. References Handy reference sheets, including integral tables, rules of differentiation, and geometric formulae. Math Links The best sites on the web for helping you master your math classes. Other Exambot Features Take a Tour of Exambot See how Exambot will help you to get a A. Or at least avoid failing... My Exambot Customize Exambot to suit your own personal study program. Custom-Designed Math Exams Exambot will build a practice exam to your specifications. Very Handy Procrastination Tool Whenever you need another excuse to avoid studying, visit our random procrastination page, and let your marks slip away... Other Subjects: Physics Exambot Central Login: Password:

57. Michael Reid's Polyomino Page Michael Reid's numerous articles on polyominoes and tilnig, with references and links. http://www.math.ucf.edu/~reid/Polyomino/index.html

Michael Reid's polyomino page Rectifiable polyominoes Box collection (boxable polycubes) in ascii for now Tile Homotopy Groups Tiling with Similar Polyominoes Tiling with Notched Cubes , (with Robert Hochberg Tiling a Square with Eight Congruent Polyominoes Tiling Rectangles and Half Strips with Congruent Polyominoes Letter to the editor of ... An odd rectangle tiled by L by Philippe Rosselet More planned ... Links Andrew Clarke's Poly Pages Karl Dahlke's polyomino page Polyominoes at David Eppstein's Geometry Junkyard Peter Esser's polyform page Jorge Luis Mireles' Polypolyomino pages George Sicherman's polyform curiosities ... E-mail Updated May 25, 2005. The correct URL of this page is http://www.math.ucf.edu/~reid/Polyomino/index.html

58. Voronoi Selected references and links. http://SciDiv.bcc.ctc.edu/Math/voronoi.html

Voronoi Diagrams Selected References Books This is the bible. Definitions, properties, algorithms, generalizations and applications galore! Unfortunately, it retails for $180. The King County Library System has one copy. There are several copies scattered among academic libraries in the Pacific Northwest, which you can get on interlibrary loan. Computational Geometry in C by J. O'Rourke, Cambridge University Press, 1994. Nice senior-level treatment that includes several applications and describes how Voronoi diagrams are related to minimal spanning trees and traveling salesman problems. There is a brief discussion of the "cone slicing" interpretation of Voronoi diagrams. You don't have to know C (or any programming at all) to read this book. Computational Geometry: Algorithms and Applications by de Berg, van Kreveld, Overmars and Schwarzkopf, Springer-Verlag, 1997. High-level undergraduate or low-level graduate textbook. Limited, but readable, description of the structure of algorithms for computing Voroni diagrams. You can download the fifteen-page chapter on Voroni diagrams from a web site devoted to this book: http://www.cs.ruu.nl/geobook/

59. John Oprea's Home Page This site includes references to the author's papers and books, including Differential Geometry and its Applications and The Mathematics of Soap Films Explorations with Maple. There are also Maple files available for downloading. http://www.csuohio.edu/math/oprea

Herr Professor Doktor Oprea's Home Page John Oprea, Professor of Mathematics Graduate Program Director Department of Mathematics Cleveland State University Cleveland, Ohio 44115 OFFICE: 1529 Rhodes Tower PHONE: 687-4702 E-MAIL: j.oprea AT csuohio.edu Utah State University Prospects in Mathematics Speaker Monograph on Lusternik-Schnirelmann Category AMS-IMS-SIAM Summer Research Conference 2001; ... Graduate Program If you have questions, doubts, comments, suggestions, or desire additional information, send E-mail to: oprea AT math.csuohio.edu Return to List of Math Dept. Faculty Return to Math Dept. Home Page

60. Allmath.com - Math Site For Kids! Home Of Flashcards, Math View the biographies of math, or Ask the Experts, your questions on math. Best forKids 12 and under. Teacher references(23) http://www.allmath.com/

Online Dictionary allmath.com Allmath Homepage Math Tools Flash Cards!!! Metric Converter Games The Magic Square Reference Pages Biographies of Math Math Glossary Multiplication Table Metric Conv. Factors ... Other Math Links Ask The Experts Visit Dr. Math Visit our Dictionary! ALLwords.com About allmath.com Welcome! Privacy Statement Who are We? Advertise Other Great Math Links! Fun And Games Kid References Kid Resources Math Articles ... Allsites LLC allmath.com, mathbook.com and "virtual mathbook" ® are all service marks of Allsites LLC Periodic Table Metric Conversion Math Book Store ... Mortgage Calculator

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