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81. Math Resources At NYU
math Courseware More mathematica based tutorials or notebooks to supplement advancedundergraduate mathematics a tour of several unsolved problems in various
http://www.nyu.edu/library/bobst/research/sci/math/
Mathematics
Overview
The following document contains library-related WWW mathematics sites selected for their interest to undergraduate students and faculty in the mathematical sciences, which are the primary clientele of the Coles Science Reference Center Library of the New York University Libraries. Graduate-level mathematics and computer science information is provided at the NYU Courant Institute of Mathematical Sciences Library The holdings of the New York University Libraries, including those at the NYU Courant Institute of Mathematical Sciences, may be searched using BOBCAT.
Of Interest to Undergraduates

82. Walden Freedman's Math Links
Research math Subject Classification Research Discussion Areas for Undergraduates(NSF funded) unsolved mathematics problems Banach Space Bulletin
http://www.humboldt.edu/~wf6/links.htm
Walden Freedman
Assistant Professor of Mathematics
Humboldt State University
Links
Organizations
American Mathematical Society

Mathematical Association of America

Society for Industrial and Applied Mathematics

American Association for Higher Education
...
American Association of University Professors

People AMS/MAA Combined Membership List Mathematical Genealogy Project Article Searches Search the MAA's College Math Journal and Mathematics Magazine The AMS's MathSciNet Search the XXX Math Archive Search the arXiv.org Mathematics e-Print archive Finding Articles Online List of journals with free electronic access Servers where articles may be found JSTOR Online subscription services ... Online math journals Research Math Subject Classification Research Discussion Areas Probability Web Site Operator algebra page of N. C. Phillips ... The Illinois Researcher Information Service (IRIS) National database of grant/funding opportunities for reserach in science, humanities, etc. Volker Runde's Banach Algebra resources page M. Zippin's homepage

83. Geometry
225 p. $?. Meschkowski, H. unsolved and Unsolvable problems in Geometry. Moise,Edwin E. Elementary Geometry from an advanced Standpoint.
http://www.ericweisstein.com/encyclopedias/books/Geometry.html
Geometry
see also Differential Geometry Dimensions Geometric Construction Geometry ... Solid Geometry Altshiller-Court, Nathan. College Geometry: A Second Course in Plane Geometry for Colleges and Normal Schools, 2nd ed., rev. enl. New York: Barnes and Noble, 1952. 313 p. Artin, E. Geometric Algebra. New York: Interscience, 1957. $68.95. Bachmann, F. Aufbau der Geometrie aus dem Spiegelungsbegriff. Berlin: New York: Springer-Verlag, 1959. Baker, Henry Frederick. Principles of Geometry, Vol. 1. London: Cambridge University Press, 1959. $?. Baker, Henry Frederick. Principles of Geometry, Vol. 2: Plane Geometry, Conics, Circles, Non-Euclidean Geometry. London: Cambridge University Press, 1959. $?. Baker, Henry Frederick. Principles of Geometry, Vol. 3: Solid Geometry, Quadrics, Cubic Curves in Space, Cubic Surfaces. London: Cambridge University Press, 1959. $?. Baker, Henry Frederick. Principles of Geometry, Vol. 4. London: Cambridge University Press, 1959. $?. Baker, Henry Frederick. Principles of Geometry, Vol. 5. London: Cambridge University Press, 1959.

84. Monographs
This book presents 12 major unsolved problems about plane in its historical context,and other problems related to one elementary and then a second advanced one
http://www.geometryalgorithms.com/books_monographs.htm
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85. A List Of Unsolved Problems In Physics For The 21st Century
2000 000000 GMT; Approved baez@math.ucr.edu; eg, the collapse of the atom, whichadvanced fields might FollowUps Re A List of unsolved problems in Physics
http://www.lns.cornell.edu/spr/2000-08/msg0027202.html
Date Prev Date Next Thread Prev Thread Next ... Thread Index
A List of Unsolved Problems in Physics for the 21st Century

86. Math: Links: Science And Technology Department: Carnegie Library Of Pittsburgh
MathSoftUnsolved Mathematics problems Would you like site discusses some specificproblems in mathematics Mathpuzzle.com These are advanced puzzles created
http://www.carnegielibrary.org/locations/scitech/links/math.html
Select Library Area: Article Search Ask a Librarian Branches Careers at CLP Computer Classes Directions Employment Genealogy/History Homework Help Hours Kids' Site Library Subject Guide Renew a Book Request a Book Search Subject Departments Support the Library Teens' Site Web Resource Guide
Sci/Tech
About Us
Sci/Tech Links

Sci/Tech Databases
...
Contact Us

Subject Search:
Web Site Catalog Internet Search
Sci/Tech
Sci/Tech Links
Math
General
American Mathematical Society The mission of the AMS is to promote math research and study. The web site includes a list of meetings and conferences as well as links for job opportunities. Try this site also if you are a math student and want to see what types of jobs are available. The NIST Reference on Constants, Units, and Uncertainty This site has gathered many of the numeric constants important to science. The speed of light in a vacuum and the Newtonian constant of gravitation are two examples you will find here. MathSoftUnsolved Mathematics Problems Would you like to try to solve a math problem no one has been able to solve? This site lists some such problems. Sharpen your mathematical skills or just look at some problems that have baffled the experts. The Math Forum The Math Forum at Swarthmore College covers a variety of topics. There is information for everyone from kindergarten to the graduate level. Algebra, calculus, differential equations, and analysis are all included. The section called

87. Algorithms For Egyptian Fractions
Bre54 R. Breusch. A special case of Egyptian fractions, solution to advancedproblem 4512. math. Monthly 61, 1954, pp. unsolved problems in Number Theory.
http://www.ics.uci.edu/~eppstein/numth/egypt/refs.html
Algorithms for Egyptian Fractions
References
L. Beeckmans. The splitting algorithm for Egyptian fractions.
J. Number Th.
This paper contains a proof that the splitting method terminates; Wagon credits the same result to Graham and Jewett. M. N. Bleicher. A new algorithm for the expansion of continued fractions.
J. Number Th.
Defines two methods for Egyptian fraction representation: what he calls the Farey sequence method, which is equivalent to the continued fraction method described here, and what he calls the continued fraction method, which is a variant of what we call the grouped continued fraction method R. Breusch. A special case of Egyptian fractions, solution to advanced problem 4512.
Amer. Math. Monthly
Shows that every x/y with y odd has an Egyptian fraction representation with all denominators odd, by using a method similar to the binary remainder method but using the base 5(3^k) instead of 2^k. T. H. Byers and M. S. Waterman. Determining all optimal and near-optimal solutions when solving shortest path problems by dynamic programming.
Oper. Res.

88. Directory :: Look.com
advanced Calculus and Analysis Lecture notes from Open problems Research problemssection of Favorite unsolved problems Alexandre Eremenko (Purdue University).
http://www.look.com/searchroute/directorysearch.asp?p=391044

89. Math Forum - Ask Dr. Math
I can show you a few more advanced topics in logic, which get closer to unsolvedproblems. Symbolic Logic http//www.mathforum.com/dr.math/faq/symbolic_logic
http://mathforum.org/library/drmath/view/61524.html

Associated Topics
Dr. Math Home Search Dr. Math
Advanced Topics in Symbolic Logic
Date: 10/28/2002 at 19:41:21 From: Tim Huff Subject: Symbolic Logic I've searched all over your site and all over the Internet but I cannot find any unsolved proofs that I can just solve for fun. I was wondering if you knew any sites I could go to to find some. If not, could you give me a few to figure out? Date: 10/29/2002 at 19:10:53 From: Doctor Achilles Subject: Re: Symbolic Logic Hi Tim, Thanks for writing to Dr. Math. All introductory types of logic problems (at least all that I've ever heard of) which can be solved, have already been solved by one of the thousands of people in the world who make their careers out of logic. I doubt if I can provide you with any unsolved symbolic logic problems. However, I can show you a few more advanced topics in logic, which get closer to unsolved problems. If you haven't already done so, check out the rules of derivation that I use for symbolic logic, available at: A Crash Course in Symbolic Logic http://www.mathforum.com/dr.math/faq/symbolic_logic.html

90. Odd Mathematical Lists
I would venture to say that F) advanced Number Theory question 1, the most importantunsolved problems, here's a sense that most of these problems were already
http://sprott.physics.wisc.edu/pickover/mathq.htm
Odd Mathematical Lists
Clifford A. Pickover I look forward to hearing from you. Please e-mail me your answers and I will post information here. (E-mail address is on main page.) 1. What are the five most famous or important unsolved mathematical problems today?
2. What is the most difficult-to-understand areas of mathematics today?
3. Who are the five most influential mathematicians that ever lived?
4. Who are the five most influential mathematicians alive today?
5. Who was the strangest mathematician that ever lived?
6. What are the five most interesting numbers? (And 5 most interesting integers?)
7. What one question would you like seen added to this list?
Some Sample Answers
From Carl Speare:
1 + sqrt(5) 1 - sqrt(5) - and - 2 2 lim e^n * n! n->inf. - = sqrt(2 * pi) n^n * sqrt(n)

91. Derek Smith
math Departments Nearby Contact smithder@lafayette.edu. 224 Pardee Hall, math Department,Lafayette College, Easton, PA 18042. Phone/Fax (610) 3305283/5721.
http://ww2.lafayette.edu/~smithder/
Derek Smith
HTML novice For the moment, I will simply blurt out links that mean something to me (Life Summary) . Then I will return to organize them, give them context, etc., but probably no sooner than the summer of 2005.

92. ME 851: Advanced Topics In Kinematics
851 advanced Topics in Kinematics. Irr; 3cr. A study of unsolvedproblems in kinematics. PMath 340 or equiv, ME 451, and cons inst....... Catalog
http://www.engr.wisc.edu/me/courses/me851.html
Home Courses ME 851 - Advanced Topics in Kinematics
WWW Resources
Catalog Description
851 Advanced Topics in Kinematics. Irr; 3cr. Transformation geometry and spatial kinematics. Introduction to algebraic and differential geometries with applications in kinematics. Three-dimensional synthesis theories in kinematics. A study of unsolved problems in kinematics. P:Math 340 or equiv, ME 451, and cons inst.
Course Prerequisite(s)
  • See catalog description above.
Topics covered
  • Transformation geometry and spatial kinematics.
  • Introduction to algebraic and differential geometries with applications in kinematics.
  • Three-dimensional synthesis theories in kinematics.
  • A study of unsolved problems in kinematics.

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