61. DoYourMath: A Friendly Place To Practice Math, Prepare For SAT Or AP Calculus, T Interactive practice and learning tests, puzzles, recreations, a bookstore and homework assistance.Category Science math Education Homework Help...... Also, www.doyourmath.com links you to the greatest unsolved problems of 21stcentury math with the reward of up to $12million for solving any of them. http://www.doyourmath.com/

Interactive Practice Tests Pre-SAT SAT AP and Calculus SAT Test dates Check it out! DoYourMath.com recommends Books Meet the expert A math expert is here to answer to your questions Want some cool math? A bi-weekly section for all interested in mathematics. Puzzle Of the Week Includes puzzles and winners of previous week. Link Directory Links to various mathematical web pages, articles, academic research. Welcome to www.doyourmath.com where you can find everything about MATH from interactive SAT math tests to amazing math puzzles $100 For A Problem. We are proud to present you the one hundred dollar problem sponsored by www.doyourmath.com Note: To receive the $100 prize you should be the first person to solve and send us the solution to the problem before July 31, 2002 (the solution should be mathematically correct) Click here: the $100 problem. Also, www.doyourmath.com links you to the greatest unsolved problems of 21-st century MATH with the reward of up to $12million for solving any of them. Announcements: New!

62. MATH PROBLEMS HKTay's maths Page, problems, unsolved problems. unsolved math problems,unsolved problems in Algebraic Number Theory, math Tests. (Home http://www2.ittu.edu.tm/math/bosna.net/mathematics/Math Topics and Problems/MATH

63. Mathematics Competitions mathematics competitions archive. Crux mathematicorum online.Category Science math Recreations Competitions...... Listserv. mathMania. mathSoft's unsolved mathematics problems Collectionof unsolved math problems and many links to similar sites. UNB http://camel.math.ca/Exams/competitions.html

Mathematics Competitions Crux Mathematicorum On-Line The CMS's internationally respected problems journal, now electronic!! International Mathematical Olympiad with links to national Olympiad home pages CMS Mathematics Competitions The Little Math Puzzle Contest These are weekly puzzles posted to the SchoolNet Listserv MathMania MathSoft's U nsolved ... roblems Collection of unsolved math problems and many links to similar sites New Brunswick Mathematics Competition for Grades 7, 8 and 9 Math Competitions Archive MathPro Press's Internet Center for Mathematics Problems A Mathlete's Training Guide Problem Solving Skills for Mathematics Competitions Escher Conference Questions? Comments? Suggestions for additions? Send Email to camel@camel.math.ca

64. Math Trek : Dangerous Problems, Science News Online, July 13, 2002 tables bounded by straight lines, one unsolved problem concerns to the lure of the dangerous problems that Lagarias at http//xxx.lanl.gov/abs/math.NT/0103054 http://www.sciencenews.org/20020713/mathtrek.asp

Math Trek Dangerous Problems Food for Thought Bugged by Foreign Cuisine Science Safari Building America TimeLine 70 Years Ago in Science News Week of July 13, 2002; Vol. 162, No. 2 Dangerous Problems Ivars Peterson Some mathematical problems are easy to describe but turn out to be notoriously difficult to solve. Nonetheless, despite their reputed difficulty and repeated warnings from those who had failed to solve them in the past, these infamous problems continue to lure mathematicians into hours, days, and even years of futile labor. Susceptible himself to the lure of these tantalizing conundrums, Lagarias admitted that he could have subtitled his talk "some problems I wish I could solve." In recent years, Lagarias has made important research contributions in a variety of mathematical fields, including work on the randomness of pi's digits, number patterns related to circles nested within circles, and the problem of distinguishing knots from unknots. Billiards in triangles In a game of mathematical billiards, a ball moves across a table of a given shape at a constant speed forever. There's no friction to slow the ball down. It simply travels in a straight line until it hits a cushion and rebounds according to the rule that the angle of reflection equals the angle of incidence. What makes the game interesting is the table's geometry. Depending on the ball's initial position and direction, its path after repeated reflections can vary considerably within the confines of tables having different shapes. For example, on a circular table, a ball can follow paths that never penetrate an inner circular region of a certain diameter in the middle of the table. A stadium-shaped table leads to unpredictable paths reminiscent of chaos.

65. Math Nerds Free Math Help And Tutoring When you are faced with a math problem involving a ridiculously large number of things,such as seven There are many unsolved problems concerning unit fractions http://www.mathnerds.com/best/MagnificentSeven/solution.asp

Home Best Texans Volunteer ... Volunteer The Magnificent Seven Submitted by Larry Engman, 12 December 1996. Original article by Valerio De Angelis, this article by Valerio De Angelis and Allen Stenger. Find seven, positive, all different, whole numbers x , x , x , x , x , x , x such that 1/x + 1/x + 1/x + 1/x + 1/x + 1/x + 1/x Extra credit: What if we had asked for six such numbers? ...or eight? Remark. Fractions with a in the numerator are called unit fractions , or less commonly Egyptian fractions or Ahmes fractions. The ancient Egyptians did not have a fully-developed concept of fractions; instead they performed most fractional calculations using a representation of the fraction as a sum of unit fractions as we are doing here. This method is described in detail in an ancient document today called the Rhind papyrus (after its owner) or the Ahmes papyrus (after its scribe).) Hint 1 When you are faced with a math problem involving a ridiculously large number of things, such as seven fractions, practice on some smaller examples. For example: can you find two, or three, different positive whole numbers such that 1/x + 1/x or 1/x + 1/x + 1/x Hint 2 Two numbers turns out to be impossible, because they would have to be larger than

66. Alkalmazott Matematika és Valószínuségszámítás Fegyverneki Sándor; Tómács Tibor; Varga Katalin; Verdes Emese email verdese@math.klte.hu. unsolvedproblems A Collection Of unsolved mathematics problems http://pc222.math.klte.hu/

67. Recreational Math Challenge = Help, Solve unsolved and Partially solved problems from Ken's ArchivesClick here to do problems now TO EXCHANGE. Recreational math books available http://www.g4g4.com/recmath1.htm

R E CR E ATI O NA L MA T H Challenge Help, Solve Unsolved and Partially solved problems from Ken's Archives- Click here to do problems now TO EXCHANGE Recreational Math books available: (topics: dissections, Pentominoes, inversions, fourth dimension, problems, Martin Gardner)- Click Here for selection Links: Featured Links: Number Line : "Number Line was invented in Japan. At first it may seem difficult, but don't worry..... Cube Lovers archives Cliff Pickove Ed Pegg Jr Weekly column in the spirit of Mathematical Games. Francis Edward Su The Fair Division Calculator for dividing cakes, chores, or rent; and Math Fun Facts!, a collection of interesting math tidbits! Journal of Recreational Mathematics: Charles Ashbacher NEW! May 2001 Juegos de Ingenio Ivan Skvarca, In Spanish NEW! May 2001 Shufflebrain - Original web games by Scott Kim NEW! May 2001 Ivars Peterson's MathTrek A weekly helping of new developments in mathematics, math in everyday life, with updates on a variety of puzzles and games. http://sciencenews.org

68. Links in the Movies; Dick Boardman's math Puzzle Page; Ken's Puzzle of the Week; mathSoft.Comhas a nice page of Puzzles, unsolved math problems and math Animations. http://www.unomaha.edu/~wwwelder/links.html

Links Recent Mathematics Research Algebraic Number Theory Archive www.arXiv.gov Study Abroad Programs: Budapest Semesters in Mathematics Math in Moscow Mathematical Atlas: Want to learn about the different areas in Mathematics? Visit David Rusin's Mathematical Atlas History of Math: History of Mathematics site at St. Andrews Number Theory: Algebraic Number Theory Gateway - Univ. of Georgia Largest Known Prime Numbers - Archive - Univ. of Tennessee at Martin Cryptography: NOVA: Decoding Nazi Secrets Cryptography and Coding Theory with MAPLE Quadralay's Cryptography Archive Geometry: Univ. of Minnesota - Geometry Gallery A Teachers Guide to Building the Icosohedral as a Class Project NonEuclid - A software package simulating the Poincare Model of Hyperbolic Geometry Abstract Algebra: Joseph Gallian has a nice site with Software and Links Recreation: Math in the Movies Dick Boardman's Math Puzzle Page Ken's Puzzle of the Week MathSoft.Com has a nice page of Puzzles, Unsolved Math Problems and Math Animations. MathPro Online Online Reference to Mathematical Problems Want a Challenge?

69. Listings Of The World Science Math Analysis 2702; unsolved problems in Function Theory Post Review Notes by Alexandre Eremenko.http//www.math.purdue.edu/~eremenko/uns.html - Added Nov-27-02; Working http://listingsworld.com/Science/Math/Analysis/

70. Listings Of The World Science Math Number Theory Open http//www.math.umbc.edu/~campbell/math413Fall98/Conjectures.html Added Nov-27-02;Overview of mathematician Secret Room Post Review unsolved problems in http://listingsworld.com/Science/Math/Number_Theory/Open_Problems/

71. Bookmarks For Jennifer Quinn Dr. Matrix' Mind Games The math Forum Life By The Numbers mathNet mathematics D.West) Graph Coloring (T. Jensen B. Toft) unsolved problems from Bondy and http://www.oxy.edu/~jquinn/home/bookmark.html

Bookmarks for Jennifer Quinn Mathematics Personal Class Occidental ... Banking Professional Links CML Search e-MATH MathSciNet Home Page MAA Online ... Phi Beta Kappa Association of Southern California Journals MAA Monthly Ars Combinatorica The College Mathematics Journal Chronicle of Higher Education ... Utilitas Mathematica Fun Math Mudd Math Fun Facts Blue Dog Can Count Mathematical Quotation Server Dr. Matrix' Mind Games ... Brian's Java Site Truth Tables Open Problems Open Problems from SIAM Discrete Mathematics (D. West) Graph Coloring Unsolved Problems from Bondy and Murty with comments by Steve Locke Open Problems for Undergraduates (DIMACS) Unsolved Problems (S. Finch at MathSoft) Open Problems from MegaMath Some Open Problems (Q.F. Stout) Open Problems on Discrete and Computational Geometry Open Combinatorics Problems (G. Royle) Number Theory TeacherSource: PBS MATHLINE Chapters of the MegaMath Book The Prime Page (An Index of Information on Prime Numbers) Prime Conjectures and Open Questions Fermat Numbers Math as a Liberal Art Lewis Carroll Online Library The Poincaré Disk (w/ Java Applet) Tom Banchoff's Virtual Art Exhibit Surfaces Beyond the Third Dimension Inversions (Scott Kim) John Langdon's WORDPLAY Internet Ambigram Server Knot Zoo History of Mathematics Euclid's Elements (with Java Applets) MacTutor History of Mathematics Past Notable Women History of Mathematics (Clark University)

72. (the Cry) Search Engine AbelF . unsolved problems in Function Theory Notes by AlexandreEremenko. url www.math.purdue.edu/~eremenko/uns.html. Working http://www.thecry.com/cgi-bin/odp/index.cgi?base=/Science/Math/Analysis/

73. ERDOS ON GRAPHS Erdös on Graphs. His Legacy of unsolved problems. Fan Chung and RonGraham This book will be published in January 1998 by AKPETERS 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

74. GAP Forum Unsolved Problems In Group Theory (Kourovka Notebook) ^ Date Mon, 04 Jan 93 132750 +0100 ^ From Joachim Neubueser neubuese@samson.math.rwthaachen.de ^ Subject unsolved problems in Group Theory http://www-gap.dcs.st-and.ac.uk/~gap/Forum/Neubuese.1/Joachim.1/Unsolved.1/1.htm

75. Internet Center For Mathematics Problems sci.math Sections of the FAQ (Frequently Asked Questions file) that are of interestto problemists unsolved problems Does there exist a number that is perfect http://www.mathpropress.com/mathCenter.html

Internet Center for Mathematics Problems On this page, we try to identify and list all sources of mathematics problems on the Internet and related information. Please advise us if you know of any sources that we are missing. Table of Contents Problem Columns from Mathematics Journals The Fibonacci Quarterly Mathematics and Informatics Quarterly (coming soon) Missouri Journal of Mathematical Sciences Problem Columns on the World Wide Web Mathematics Problems on the World Wide Web Newsgroups ... Sign-in We invite you to visit the MathPro Press home page Problem Columns from Mathematics Journals Many mathematics journals contain problem columns. They invite readers to send in solutions to the problems. The best solution submitted gets printed in a future issue along with the names of all the solvers. We list below only a few of the journals that are currently running problem columns. You are welcome to try your hand at solving these problems. Solutions should be sent to the appropriate problem column editor ( not to MathPro Press).

76. Kenneth Falconer's Home Page (with HT Croft and RK Guy) unsolved problems in Geometry, SpringerVerlag,1991. Digital sundials, paradoxical sets and Vitushkin's conjecture, math. http://www-maths.mcs.st-andrews.ac.uk/~kenneth/

Kenneth Falconer's Home Page Kenneth Falconer is Professor in Pure Mathematics at the University of St Andrews, where he is currently Head of the School of Mathematics and Statistics He works in the Analysis Research Group , where the main interests are fractal and multifractal geometry and dynamics. He was an undergraduate, research student and Research Fellow at Corpus Christi College, Cambridge, and became a Lecturer and then a Reader at the University of Bristol before moving to St Andrews in 1993. Kenneth's main research interests are in Fractal Geometry and Geometric Measure Theory. His wide-ranging research has involved the description, occurrence, geometrical properties and dimensional analysis of fractal sets and measures. For example, his work on projections of fractals led to the concept of the digital sundial (a set with essentially any desired projections in all directions). He has derived formulae for the dimensions of specific types of fractals and multifractals such as self-affine sets and non-conformal repellers in dynamical systems. He has worked on dimensional and topological properties of random fractals and multifractals, including fractal percolation problems. He has recently studied nonlinear partial differential equations on fractal domains and random fractal processes. He has published over 80 papers in mathematics journals. His best-selling books The Geometry of Fractal Sets Fractal Geometry - Mathematical Foundations and Applications and Techniques in Fractal Geometry treat many mathematical aspects of fractal geometry.

77. Mathematical Problems By David Hilbert Mathematical problems. Lecture delivered before the International Congress of age has its own problems, which the following age answers to old unsolved problems and thus at the http://babbage.clarku.edu/~djoyce/hilbert/problems.html

Mathematical Problems Lecture delivered before the International Congress of Mathematicians at Paris in 1900 By Professor David Hilbert Who of us would not be glad to lift the veil behind which the future lies hidden; to cast a glance at the next advances of our science and at the secrets of its development during future centuries? What particular goals will there be toward which the leading mathematical spirits of coming generations will strive? What new methods and new facts in the wide and rich field of mathematical thought will the new centuries disclose? History teaches the continuity of the development of science. We know that every age has its own problems, which the following age either solves or casts aside as profitless and replaces by new ones. If we would obtain an idea of the probable development of mathematical knowledge in the immediate future, we must let the unsettled questions pass before our minds and look over the problems which the science of today sets and whose solution we expect from the future. To such a review of problems the present day, lying at the meeting of the centuries, seems to me well adapted. For the close of a great epoch not only invites us to look back into the past but also directs our thoughts to the unknown future. The deep significance of certain problems for the advance of mathematical science in general and the important role which they play in the work of the individual investigator are not to be denied. As long as a branch of science offers an abundance of problems, so long is it alive; a lack of problems foreshadows extinction or the cessation of independent development. Just as every human undertaking pursues certain objects, so also mathematical research requires its problems. It is by the solution of problems that the investigator tests the temper of his steel; he finds new methods and new outlooks, and gains a wider and freer horizon.

78. Open Problems For Undergraduates Open problems for Undergraduates. Open problems by Area a collection of open problems in Discrete Mathematics which to think about interesting and unsolved mathematical problems. http://dimacs.rutgers.edu/~hochberg/undopen

Open Problems for Undergraduates Open Problems by Area Graph Theory Combinatorial Geometry Geometry/Number theory Venn Diagrams Inequalities Polyominos This is a collection of open problems in Discrete Mathematics which are currently being researched by members of the DIMACS community. These problems are easily stated, require little mathematical background, and may readily be understood and worked on by anyone who is eager to think about interesting and unsolved mathematical problems. Some of these problems are quite hard and have been open for a long time. Others are newer. For further information on a particular problem, you may write to the associated researcher. Although these problems are intended for undergraduates, it is expected that high school students, teachers, graduate students and professional mathematicians will be drawn to this collection. This is not discouraged. Each of these problems is associated with some member of DIMACS. If you have any questions, comments, insights or solutions, please send email to the researcher who is listed with the problem. These pages are maintained by Robert Hochberg Last modified Feb. 5, 1997.

79. EDU2 : Level 3 and math conjectures; Tim Kelley's Home Pagea math professor withlinks; unsolved mathematics Problemsmathsoft; Victor M. Jimenez http://www.my-edu2.com/EDU/math4.htm

EDU2 :MATH - PROBLEMS ABCentral Search Helpers Submit a Link ... RECREATIONAL *COMPETITION* American Mathematics Competitions Asian Pacific Mathematics Olympiad Bulgarian Competitions in Mathenatics and Informatics Canadian Mathematical Olympiad ... mathschallenge.net *MATHEMATICAL INTERESTS* 7Stones Home:math interests Bruce's Hieratic (Middle Kingdom) Math of Egypt Cheap Monty Hall Concealed Paradoxes in Mathematics and Physics ... Énigmes *PROBLEMS* 21st Century Problem Solving - Home Page A compendium of NP optimization problems Answers and Explanations Does ``infinity'' exist? Catalan Conjecture ... Zagier's problems *PUZZLE* Brain Teasers and Puzzles Cryptarithms Online:math teasers FigureThis! Math Challenges for Families Free Puzzles:math ... curiouser.co.uk *RECREATIONAL* BrainTeasers Combinatorial Games Come on in my kitchen ...:cooking math Cryptarithms online ... justriddlesandmore.com Return to ABCentral

80. Flooble :: Perplexus :: Logic Puzzles, Brainteasers, Riddles And Math Tricks A forum for brain teasers and puzzles ranging from simple logic mind tricks to complex math problems Category Games Puzzles Brain Teasers mathematical...... Here, we collect all sorts of puzzles, from simple logic questions andword tricks to indepth math problems like probability and geometry. http://www.flooble.com/perplexus/

All about flooble fun stuff Get a free chatterbox ... Make the web your notepad Home Welcome to flooble :: perplexus , flooble's perplexing puzzle portal. Here, we collect all sorts of puzzles, from simple logic questions and word tricks to in-depth math problems like probability and geometry. Click around and see if your brain is up to the task! If you're new here, make sure you sign up so that you can leave comments and submit your own problems! ( Webrings info Categories Tree Latest: (in General No Solution Yet, 5 Comments Submitted on 2003-04-09 by Bryan Oldie: Sugar Cubes (in Shapes Rating: 3.67 Three cubes of volume 1, 8, and 64 are glued together. What is the smallest possible surface area of the resulting configuration? -Problem taken from UNL Math Day Solution Posted, 3 Comments Submitted on 2002-12-24 by cges Zero - The Hero (in Numbers Posted on 2003-04-09 by Ravi Raja (No Solution Yet, 6 Comments) Drew and Mohammad (in Liars and Knights Rating: 3.00

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