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Math Unsolved Problems:     more detail

Tomorrow's Math: Unsolved Problems for the Amateur by Charles Stanley Ogilvy, 1972-02 Tomorrow's Math: Unsolved Problems for the Amateur by C. Stanley Ogilvy, 1962 Math Odyssey 2000: Puzzles, Mysteries, Unsolved Problems, Breakthroughs, and the People of Mathematics by Clement W. Falbo, 1994-01 Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics by John Derbyshire, 2004-05-25 Tomorrows Math 2ND Edition Unsolved Problems Fro by C Stanley Ogilvy, 1972

lists with details

1. Unsolved Problems -- From MathWorld
   Klee, V. Some Unsolved Problems in Plane Geometry. Math. Mag. Ogilvy, CSTomorrow s math unsolved problems for the Amateur, 2nd ed.  
   http://mathworld.wolfram.com/UnsolvedProblems.html
   
   Extractions: MATHWORLD - IN PRINT Order book from Amazon Foundations of Mathematics Mathematical Problems Unsolved Problems Unsolved Problems There are many unsolved problems in mathematics. Some prominent outstanding unsolved problems (as well as some which are not necessarily so well known) include 1. The Goldbach conjecture 2. The Riemann hypothesis 3. The 4. The conjecture that there exists a Hadamard matrix for every positive multiple of 4. 5. The twin prime conjecture (i.e., the conjecture that there are an infinite number of twin primes 6. Determination of whether NP-problems are actually P-problems 7. The Collatz problem 8. Proof that the 196-algorithm does not terminate when applied to the number 196. 9. Proof that 10 is a solitary number 10. Finding a formula for the probability that two elements chosen at random generate the symmetric group 11. Solving the

2. Some Unsolved Problems
   they are all unsolved. Of course, this is not a complete list of all unsolved problems in mathematics. For instance, I omitted those problems  
   http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

3. Unsolved Problem Of The Week Archive
   Welcome to the archive for the Unsolved Math Problem of the Week. you of some of the difficult, yet interesting, problems that mathematicians  
   http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

4. Unsolved Problems
   Unsolved Problems. You can contact Stephen C. Locke at LockeS@fau.edu. Email LockeS@fau.edu URL http//www.math.fau.edu/locke/unsolved.. ..  
   http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

5. Article About 3 Unsolved Math Problems
   Article about 3 unsolved math problems 2 is about graph theory  
   http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

6. Sci.math FAQ Unsolved Problems
   sci.math FAQ Unsolved Problems. There are reader questions on this topic! Help others by sharing your knowledge  
   http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

7. Unsolved Problems In Function Theory
   My favorite unsolved problems Prize policies when applicable, a prize for the problem will be payed with a check in US dollars to the first  
   http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

8. Mathproblems.info
   Challenging word problems, spanning basic math to differential equations.  
   http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

9. Mathsoft Mathsoft Unsolved Problems
   Unsolved Problems. Mathsoft Constants. Engineering Standards. Engineering Links. Math Resources. Welcome! This evolving collection of unsolved  
   http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

10. Open Problems For Undergraduates
    background, and may readily be understood and worked on by anyone who is eager to think about interesting and unsolved mathematical problems.  
    http://tmsyn.wc.ask.com/r?t=an&s=hb&uid=24312681243126812&sid=343126

11. Unsolved Problems
    TomorrowÕs math unsolved problems for the amateur, 2nd edition Charles StanleyOgilvy Oxford University Press, New York 1972 Hardcover. 198 pages.  
    http://www.mathpropress.com/mathBooks/UnsolvedProblems.html

12. Unsolved Problems: References
    Ogilvy 1972 C. Stanley Ogilvy, Tomorrow s math unsolved problems for theAmateur. 2nd edition. Oxford University Press. New York 1972.  
    http://cage.rug.ac.be/~hvernaev/problems/references.html
    
    Extractions: Especially rich are [Croft 1991] [Guy 1994] and [Klee 1991] [Beiler 1966] Albert H. Beiler, Recreations in the Theory of Numbers: The Queen of Mathematics Entertain. 2nd edition. Dover. New York: 1966. [Bondy 1976] J. A. Bondy and U. S. R. Murty, Graph Theory with Applications. North Holland. New York: 1976. [Boroczky 1987] Intuitive Geometry. North-Holland Publishing Company. New York: 1987. [Croft 1991] Hallard T. Croft, Kenneth J. Falconer, and Richard K. Guy, Unsolved Problems in Geometry. Springer-Verlag. New York: 1991. [Dudeney 1970] H. E. Dudeney, Amusements in Mathematics. Dover. New York: 1970. [Dunham 1990] William Dunham, Journey Through Genius: The Great Theorems of Mathematics. John Wiley and Sons. New York: 1990. [Erdos 1980] Old and New Problems and Results in Combinatorial Number Theory. [Gardner 1978] Martin Gardner, Mathematical Magic Show. Vintage Books. New York: 1978. [Gardner 1983] Martin Gardner

13. Favorite Unsolved Problems
    Alexandre Eremenko (Purdue University). Mainly in analysis.  
    http://www.math.purdue.edu/~eremenko/

14. Unsolved Problems In Function Theory
    Notes by Alexandre Eremenko.  
    http://www.math.purdue.edu/~eremenko/uns.html
    
    Extractions: My favorite unsolved problems Prize policies: when applicable, a prize for the problem will be payed with a check in US dollars to the first person who sends me a complete solution which I will verify and recognize as correct. GEOMETRIC FUNCTION THEORY AND POTENTIAL THEORY: ps pdf Some constants studied by Littlewood (Updated Oct 2002).

15. Some Unsolved Problems
    Mainly in analysis. By Jörg Winkelmann.  
    http://www.math.unibas.ch/~winkel/problem.html

16. Hilbert's Problems -- From MathWorld
    Hilbert s problems are a set of (originally) unsolved problems in mathematicsproposed Concerning the Hilbert 16th Problem. Providence, RI Amer. math.  
    http://mathworld.wolfram.com/HilbertsProblems.html
    
    Extractions: MATHWORLD - IN PRINT Order book from Amazon Foundations of Mathematics Mathematical Problems Problem Collections ... Unsolved Problems Hilbert's Problems Hilbert's problems are a set of (originally) unsolved problems in mathematics proposed by Hilbert . Of the 23 total appearing in the printed address, ten were actually presented at the Second International Congress in Paris on August 8, 1900. In particular, the problems presented by Hilbert were 1, 2, 6, 7, 8, 13, 16, 19, 21, and 22 (Derbyshire 2004, p. 377). Furthermore, the final list of 23 problems omitted one additional problem on proof theory (Thiele 2001). Hilbert's problems were designed to serve as examples for the kinds of problems whose solutions would lead to the furthering of disciplines in mathematics. As such, some were areas for investigation and therefore not strictly "problems." 1a. Is there a transfinite number between that of a

17. Unsolved Problems
    Including the list of 50 problems of Bondy and Murty with current status. Compiled by Stephen C. Locke.  
    http://www.math.fau.edu/locke/unsolved.htm
    
    Extractions: You can contact Stephen C. Locke at LockeS@fau.edu Several people have asked me about unsolved problems. I will take the easy way out: see the list of 50 problems in Bondy and Murty . You can now see the list as it originally appeard in the the text, Graph Theory with Applications . (May, 2004: The authors are writing the next edition of the book.) Some of these problems have been solved (and thus the title is slightly incorrect) and I won't claim to be familiar with all current results. If you find that one of them has been solved (or even that some reasonable progress has been made), please e-mail me . Also, I'm not giving you all of the references in Bondy and Murty . You should get yourself a copy of that book (or look at the online version).

18. Open Problems List
    A collection of papers outlining unsolved problems maintained at Stony Brook.  
    http://www.math.sunysb.edu/dynamics/open.html

19. Mathematical Problems By David Hilbert
    Take any definite unsolved problem, such as the question as to the irrationality of 33 D. Hilbert Ueber die Theorie der algebraischen Formen, math.  
    http://aleph0.clarku.edu/~djoyce/hilbert/problems.html
    
    Extractions: 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.

20. Unsolved Problems
    Several people have asked me about unsolved problems. I will take the easy wayout see FP Ramsey. On a problem in formal logic. Proc. London math. Soc.  
    http://www.math.fau.edu/locke/Unsolved.htm
    
    Extractions: You can contact Stephen C. Locke at LockeS@fau.edu Several people have asked me about unsolved problems. I will take the easy way out: see the list of 50 problems in Bondy and Murty . You can now see the list as it originally appeard in the the text, Graph Theory with Applications . (May, 2004: The authors are writing the next edition of the book.) Some of these problems have been solved (and thus the title is slightly incorrect) and I won't claim to be familiar with all current results. If you find that one of them has been solved (or even that some reasonable progress has been made), please e-mail me . Also, I'm not giving you all of the references in Bondy and Murty . You should get yourself a copy of that book (or look at the online version).

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