41. Hilbert's Problems: Information From Answers.com The problems were all unsolved at the time, and several of them turned out to be of the 18th problem (http//www.math.pitt.edu/articles/hilbert.html) http://www.answers.com/topic/hilbert-s-problems

showHide_TellMeAbout2('false'); Business Entertainment Games Health ... More... On this page: Wikipedia Best of Web Mentioned In Or search: - The Web - Images - News - Blogs - Shopping Hilbert's problems Wikipedia Hilbert's problems Hilbert's problems are a list of 23 problems in mathematics put forth by German mathematician David Hilbert in the Paris conference of the International Congress of Mathematicians in 1900. The problems were all unsolved at the time, and several of them turned out to be very influential for twentieth-century mathematics. At this conference he presented 10 of the problems (1, 2, 6, 7, 8, 13, 16, 19, 21, and 22) and the list was published later. Status of the problems Hilbert's 23 problems are: Problem 1 solved The continuum hypothesis Problem 2 solved Are the axioms of arithmetic consistent Problem 3 solved Can two tetrahedra be proved to have equal volume (under certain assumptions)? Problem 4 too vague Construct all metrics where lines are geodesics Problem 5 solved Are continuous groups automatically differential groups Problem 6 non-mathematical Axiomatize all of physics Problem 7 solved Is a transcendental , for algebraic a irrational algebraic b Problem 8 open The Riemann hypothesis and Goldbach's conjecture Problem 9 partially solved Find most general law of reciprocity in any algebraic number field Problem 10 solved Determination of the solvability of a diophantine equation Problem 11 solved Quadratic forms with algebraic numerical coefficients Problem 12 solved Algebraic number field extensions Problem 13

42. Article About 3 Unsolved Math Problems Article about 3 unsolved math problems 2 is about graph theory. http://garsia.math.yorku.ca:16080/~zabrocki/math3260w03/article.html

43. F. Conjectures (Math 413, Number Theory) F. Conjectures. Number Theory, math 413, Fall 1998 Refs; Number Theory,Shanks, 1985, Chap 2; unsolved problems in Number Theory, Guy, 1994, Sect A.3 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

44. Math Problems & Generalizations Umea Universitet, Sweden Department of mathematics unsolved problems and Expand your awareness of unsolved math problems and their solutions via many http://www.buzzle.com/chapters/education-and-higher-learning_primary-and-seconda

Home Web Directory What's the Buzz? Escape Hatch ... Free Email Friday, September 23, 2005 5:23:24 PM DIRECTORY Primary and Secondary Education Mathematics Chapter Quicklink What's the Buzz Escape Hatch: Open Mic This section provides resources that focus on unsolved mathematical problems and the possible solutions and generalizations that can be formulated about them. California Institute of Technology, Pasadena: Unsolved Problems and Graphs Information Guide Investigate this website to examine such theories on unsolved math problems as the Ringel-Kotzig belief that all trees are graceful and then present your own ideas on the subjects. Umea Universitet, Sweden: Department of Mathematics: Unsolved Problems and Solutions Guide Expand your awareness of unsolved math problems and their solutions via many explanations displayed at this site by the Department of Mathematics at Umea Universitet in Sweden. United States Los Alamos National Laboratory: Three For the Money Find resources on unsolved math problems supplied here by the United States Los Alamos National Laboratory, including data on the materials and instructions for doing the problems. University of Auckland, New Zealand: Algorithmic Theory Information Guide

45. ERDOS ON GRAPHS His Legacy of unsolved problems. Fan Chung and Ron Graham This book will bepublished in January 1998 by AKPETERS , klaus@akpeters.com ISBN 156881-079-2 http://math.ucsd.edu/~fan/epbook.html

His Legacy of Unsolved Problems Fan Chung and Ron Graham This book will be published in January 1998 by AKPETERS klaus@akpeters.com ISBN 1-56881-079-2 The list of content: Chapter 1: Introduction 1.1. Definitions and notations 1.2 About the references Chapter 2: Ramsey theory 2.1. Introduction 2.2. Origins 2.3. Classical Ramsey theory 2.4. Graph Ramsey theory 2.5. Multi-colored Ramsey numbers 2.6. Size Ramsey numbers 2.7. Induced Ramsey numbers 2.8. Ramsey theory for hypergraphs Chapter 3: Extremal graph theory 3.1. Introduction 3.2. Origins 3.3. Tur'an numbers for bipartite graphs 3.4. Tur'an problems for even cycles and their generalizations 3.5. General extremal problems Chapter 4: Coloring, packing and covering 4.1. Introduction 4.2. Origins 4.3. Chromatic number and girth 4.4. Chromatic number and cliques 4.5. List colorings 4.6. Critical graphs 4.7. Chromatic index 4.8. General coloring problems 4.9. Covering and packing Chapter 5: Random graphs and graph enumeration 5.1. Introduction

46. Mathematics An ingenious graphic technique for problem solving for math, programming, studying, A list of unsolved problems in a number of mathematical fields, http://www.hypography.com/links.cfm?id=7503

47. Sci.math FAQ: Unsolved Problems Subject sci.math FAQ unsolved problems; From alopezo@neumann.uwaterloo.ca (AlexLopez-Ortiz); Date 17 Feb 2000 225551 GMT; Newsgroups sci.math, http://www.uni-giessen.de/faq/archiv/sci-math-faq.unsolved/msg00000.html

Index sci.math FAQ: Unsolved Problems Subject : sci.math FAQ: Unsolved Problems From alopez-o@neumann.uwaterloo.ca (Alex Lopez-Ortiz) Date : 17 Feb 2000 22:55:51 GMT Newsgroups sci.math news.answers sci.answers Summary : Part 20 of 31, New version http://www.cs.unb.ca/~alopez-o Assistant Professor Faculty of Computer Science University of New Brunswick Index: Index sci-math-faq.unsolved

48. Sci.math FAQ: Unsolved Problems Subject sci.math FAQ unsolved problems; From alopezo@neumann.uwaterloo.ca (AlexLopez-Ortiz); Date Fri, 17 Nov 1995 171513 GMT; Newsgroups sci.math, http://www.uni-giessen.de/faq/archiv/sci-math-faq.unsolvedproblems/msg00000.html

Index sci.math FAQ: Unsolved Problems Subject : sci.math FAQ: Unsolved Problems From alopez-o@neumann.uwaterloo.ca (Alex Lopez-Ortiz) Date : Fri, 17 Nov 1995 17:15:13 GMT Newsgroups sci.math sci.answers news.answers Sender news@undergrad.math.uwaterloo.ca (news spool owner) Summary : Part 18 of many, New version, Index: Index sci-math-faq.unsolvedproblems

49. Andrew Unsolved Problems Page math Soft unsolved mathematics problems math Pro unsolved Problem of the WeekArchive Hvernaev unsolved Problem of the Week Archive http://alas.matf.bg.ac.yu/~mm97106/math/open/unsolved.htm

Andrew Unsolved Problems Page Welcome Fermat Last Theorem Unsolved Fibonacci Problems Kurepa's Conjecture Back to Andrew Home Page Andrew Math Page Other pages Math Soft Unsolved Mathematics Problems Math Pro Unsolved Problem of the Week Archive Hvernaev Unsolved Problem of the Week Archive Mathematical problems of David Hilbert

50. Department Of Mathematics And Statistics - General unsolved problems in combinatorial games. Proc. Sympos. Appl. math., Combinatorialgames (Columbus, OH, 1990), Vol. 43, Amer. math. Soc. http://www.math.ucalgary.ca/general/directory.php3?personid=36&capacityid=22&pub

51. Department Of Mathematics And Statistics - General unsolved problems in combinatorial games. math. Sci. Res. Inst. Publ., More gamesof no chance (Berkeley, CA, 2000), Vol. 42, Cambridge Univ. http://www.math.ucalgary.ca/general/directory.php3?personid=36&capacityid=22&pub

52. Lake Superior State University - School Of Mathematics And Computer Science A couple of unsolved problems will be posed on this web site. unsolved problems.Problem 1 Imagine a clock in which the hour hand and the minute hand http://math.lssu.edu/unsolvedproblems.html

Home What's New Faculty Photo Gallery ... Academics This contest was created to spread enthusiasm about the field of mathematics and challenge top students throughout Michigan and northern Ontario. A couple of unsolved problems will be posed on this web site. Interested students are encouraged to develop solutions to these problems and submit them. A prize will be awarded to the best submission for each problem. All students that submit a correct solution will be recognized on the contest web site. Official Contest Rules are shown below. Unsolved Problems: Problem #1: Imagine a clock in which the hour hand and the minute hand have the exact same length. Most of the time, you can still tell the time. For example, at 6:00, you can be sure that the upper hand is the minute hand. If not, that hand would be halfway between two hours. How many times during a 12-hour period are the hands of a clock in an ambiguous position in regards to the time of day? Problem #2: Suppose you have five hats arranged in a circle and 25 rings numbered 1 through 25. You wish to throw the rings into the hats - ring number 1 first, ring number 2 second, and so on - so that each ring is tossed into a hat that is adjacent to the hat in which the preceding ring was tossed. The choice for each ring toss, for example, would be one of two hats (the one to the left of the previous toss and the one to right). Is it possible to toss all of the rings into the hats in a manner so that the sum of the numbers in each hat is 65?

53. About "Unsolved Problems In Function Theory" The math Forum Internet mathematics Library. unsolved problems in Function Theory._ http://mathforum.org/library/view/16365.html

Unsolved Problems in Function Theory Library Home Full Table of Contents Suggest a Link Library Help Visit this site: http://www.math.purdue.edu/~eremenko/uns.html Author: Alexandre Eremenko Description: Files available in PDF format: Some constants studied by Littlewood; Meromorphic functions satisfying certain differential equations (E. Hille); Does every universe contain a place where you can stay at rest? (Lee Rubel); Holomorphic curves with few inflection points; Exceptional set in Gross' Theorem; Modified Cartan's Conjecture. Levels: College Research Languages: English Resource Types: Problems/Puzzles Math Topics: Functional Analysis Home The Math Library Quick Reference ... Help http://mathforum.org/

54. Other Sites Geometry problem of the week. math Magic. Geometry project of the Month. Known also as Erdös for Kids this site offers unsolved problems. http://www.cut-the-knot.org/collection.shtml

Username: Password: Other sites of interest Art of Problem Solving A site for gifted math students, especially those planning to participate in various math olympiads. Created by former olympiad winners, the site offers an online school, a variety of forums and improvisational problem solving sessions guided by Art of Problem Solving instructors. Stella - Polyhedron Navigator Great Stella is by far the most comprehensive tool around for exploring the fascinating world of polyhedra. Select from over 200 built-in models (including Platonic Archimedean Kepler-Poinsot and all other uniform polyhedra Johnson solids and Stewart toroids ), or create endless new ones using advanced tools such as duality, stellation, faceting, and augmentation. Also comes with a library containing hundreds of additional models so you can take advantage of the power without learning all the ins and outs. Nets can be printed for any polyhedron created, allowing you to build your own physical models with a bit of cutting, folding and gluing. Photos of many models built using the program also appear on the site, as well as a

55. NPR : Wanted: Math Solutions Wanted math Solutions. Seven unsolved Millennium problems and a Hefty Reward.Listen to this story Book Cover. The Millennium problems (Basic Books, http://www.npr.org/templates/story/story.php?storyId=906866

56. Gumby Guide To The Galaxy Harvard Calculus Consortium Internet math Consortium SOS mathematics Some unsolved problems with elementary formulations (F. Wikstrom) http://zakuski.math.utsa.edu/~gokhman/gg/math.html

Main News Reference Math ... Webmeister Gumby Guide to the Galaxy Mathematics Archives and Services Indexes MathSearch (Univ. of Sydney) dmoz Yahoo! galaxy Math on the Web (AMS) Math Links Library (Platonic Realms) Penn State Univ. Math Archives (Univ. of Tennessee, Knoxville) Mathematics WWW Virtual Library (Florida State Univ.) Merlot Purely Academic (Trinity College, Dublin) CSC Mathematical Topics (csc.fi) StudyWeb Math-Net Links at CIRM MathPages (K. Brown) Dave Rusin's Collection P. Liepa MATH-abundance (J. Claeys) Mathematics Resources on the Internet (Bruno Kevius) Useful resources (David J. Wright) Statistical Sites on the World Wide Web (BLS) Algebraic Number Theory and Computation (D. Kohel) Cryptology and Security (R. Rivest) Visualization Links (Lucio Tavernini) Cryptology Pointers (H. Lipmaa) Societies and archives AMS Calendar SIAM MAA EMIS (European Mathematical Information Service) Platonic Realms Math Forum (Swarthmore) Oklahoma State Univ. Directories of mathematicians Combined Membership List (CML) Indirizzi di posta elettronica dei dipartimenti italiani Database of Turkish Mathematicians (Bilkent) Who Is Who Handbook of Nonlinear Dynamics Lists of Ring Theorists Reading material Online Books at Open Directory Books at AMS Monographs at EMIS The On-Line Books Page Cornell Digital Library Math Books Virtual Library: online books Books by Herbert S. Wilf et al.

57. Class Projects: Unsolved Math Problems unsolved problems in Mathematics. The Goldbach Question Catalan s Conjecture (Solutionpublished January 2004) web page by Ben BluettMills and Tim Fairty http://courses.drew.edu/FA2004/FRSM-1-005/ClassProjects.htm

FYS Fall 2004 Mathematical Masterpieces Course Syllabus Discussion Board ... Helpful Links Unsolved Problems in Mathematics The Goldbach Question Catalan's Conjecture (Solution published January 2004) web page by Ben Bluett-Mills and Tim Fairty The Euler Brick web page by Evan Fuest and Tim Howes The Twin Prime Conjecture web page by Molly Goodman and Madeleine LaPenta Primes Between Perfect Squares web page by Justin Caruso and Francesco Quattrone The Kepler Conjecture web page by Charlene Lanez and Vanessa Moyano The Happy End Problem web page by Jennifer Cowell and David Newby The Collatz Conjecture web page by Ryan Hoover and Katie Tornabene The Existence of Odd Perfect Numbers web page by Chris Kidwell and Kevin Larsson

58. Grad Program | Courses | RTG Spring 2005 | Solved And Unsolved Problems In Mathe Solved and unsolved problems in mathematical Theory of Disordered Systems http//math.arizona.edu/~gradprogram/courses/rtg_20051/wehr.html http://math.arizona.edu/gradprogram/courses/rtg_2005-1/wehr.html

(skip to content) (skip to navigation tree for section Graduate Program) You are here: Math Grad Courses RTG Spring 2005 ... Simplified View of Current Page Search UA Math: Sections: Home About People Events ... Site Map Solved and Unsolved Problems in Mathematical Theory of Disordered Systems Professor Jan Wehr , Department of Mathematics, The University of Arizona Disorder is ubiquitous in nature, its effects are pronounced and require serious consideration by theoretical physics. The resulting models and questions lead to a multitude of mathematical problems, simply stated but surprisingly difficult. We will review some of the successes of the mathematical theory of disordered systems and discuss some of the important open problems. The relevant mathematical tools are: probability, ergodic theory and spectral analysis. Navigation tree for section Graduate Program Grad Program Homepage Contact Us For Prospective Students Our specialties ... RTG Mini-Conference Opportunities: Research Teaching Internship VIGRE ... Final Reports Admission Requirements Procedure Degree Requirements M.A./M.S. Requirements

59. Powell's Books - Prime Obsession: Bernhard Riemann And The Greatest Unsolved Pro This remarkable constellation of interests results in a math book that reads The Riemann Hypothesis is one of the deepest of all unsolved problems in http://www.powells.com/cgi-bin/biblio?isbn=0309085497

60. Daily Mathematics And Seven Unsolved Millennium Problems Daily mathematics and Seven unsolved Millennium problems for the As anundergraduate, I majored in math and later completed a Master s Degree in it with http://www.bsu.edu/libraries/ahafner/awh-th-math-problems.htm

Arthur W. Hafner, Ph.D., M.B.A. Dean of University Libraries Ball State University Muncie, IN 47306 765-285-5277 Office 765-285-2008 FAX http://www.bsu.edu/library/ Daily Mathematics and Seven Unsolved Millennium Problems for the Twenty-First Century from the Clay Mathematics Institute By Arthur W. Hafner, Ph.D. January 10, 2001 I have always liked mathematics. It has a special kind of beauty, clarity, and simplicity. I find satisfaction in using it to work through a problem to arrive at an answer. As an undergraduate, I majored in math and later completed a Master's Degree in it with a minor in statistics. As a doctoral student in library and information science, I used both applied and theoretical mathematics, statistics, and computer sciences in my studies. As a practicing librarian working in library administration at Seton Hall University, almost daily I use mathematics and statistics to understand the underpinning applications of information technology as it expands and transforms the nature of libraries. Mathematics is an indispensable tool that is part of daily life. We encounter it everywhere. We use its numbers and language without thinking when we view a calendar, read time on a watch or clock, or make change with money. We draw and analyze graphs to identify trends and reveal patterns. We use quantitative techniques to determine familiar relationships such as circumference, diameter, distance, length, miles per gallon, optimization, probability, randomness, rate of change, square feet, symmetry, temperature, volume, width, and so many others. We use mathematics' symbols and abstractions to create and describe models and to perform simulations. Mathematics is ubiquitous and at the heart of all technological development as a major force shaping today's and tomorrow's world.

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