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Unsolved Problems:     more books (100)

Unsolved Problems in Number Theory (Problem Books in Mathematics) (v. 1) by Richard K. Guy, 1994-07 Old and New Unsolved Problems in Plane Geometry and Number Theory (Dolciani Mathematical Expositions) by Victor Klee, Stan Wagon, 1996-09-05 Prime Obsession: Bernhard Riemann and the Greatest Unsolved Problem in Mathematics by John Derbyshire, 2004-05-25 Ball Lightning: An Unsolved Problem in Atmospheric Physics by Mark Stenhoff, 2010-11-02 Unsolved Problems in Geometry (Problem Books in Mathematics / Unsolved Problems in Intuitive Mathematics) by Hallard T. Croft, Kenneth J. Falconer, et all 1991-05-28 Unsolved Problems in Mathematical Systems and Control Theory The World's 20 Greatest Unsolved Problems by John R. Vacca, 2004-07-07 The Millennium Problems: The Seven Greatest Unsolved Mathematical Puzzles Of Our Time by Keith J. Devlin, 2003-10-16 The Five Biggest Unsolved Problems in Science by Arthur W. Wiggins, Charles M. Wynn, 2003-09-12 Unsolved Problems in Astrophysics The Riemann Hypothesis: The Greatest Unsolved Problem in Mathematics by Karl Sabbagh, 2004-05-26 Unsolved Problems in Stellar Evolution (Space Telescope Science Institute Symposium Series) Unsolved Problems in Number Theory (Problem Books in Mathematics / Unsolved Problems in Intuitive Mathematics) by Richard Guy, 2004-07-13 Unsolved Problems Of Science by A.W. Haslett, 2007-03-15

lists with details

1. Unsolved Problems
   unsolved problems. You can contact Stephen C. Locke at LockeS@fau.edu. Several people have asked me about unsolved problems. I  
   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).

2. Mathsoft: Mathsoft Unsolved Problems
   s of some unsolved problems and numerous links to other collections.Compiled by Steven Finch.  
   http://www.mathsoft.com/mathresources/problems/
   
   Extractions: search site map about us  + news  + ... Statistics Resources Unsolved Problems Mathsoft Constants Engineering Standards Engineering Links Math Resources Welcome! This evolving collection of unsolved mathematics problems is not systematic or complete; it is only an eclectic gathering of questions and partial answers which have come to my attention over the years. Unsolved Problems on Other Sites On a Generalized Fermat-Wiles Equation Zero Divisor Structure in Real Algebras Sleeping Habits of Armadillos ... contact us

3. Unsolved Problems In Function Theory
   Notes by Alexandre Eremenko.  
   http://www.math.purdue.edu/~eremenko/uns.html

4. Unsolved Problems
   Mathematical research often concerns questions which are so abstract and technically complicated that only a small number of experts in that particular field can fully understand the problems and their significance. a handful of problems which to my knowledge and to this date are still unsolved although they can  
   http://abel.math.umu.se/~frankw/unsolved.html
   
   Extractions: Mathematical research often concerns questions which are so abstract and technically complicated that only a small number of experts in that particular field can fully understand the problems and their significance. Therefore one is easily led to the conclusion that every problem is difficult to understand. This is not so. On this page I have gathered a handful of problems which to my knowledge and to this date are still unsolved although they can be understood by any one who has a working knowledge of, say, the high-school mathematics curriculum. Can every even integer number greater be written as the sum of two prime numbers? We have for example that: and so on, but is it true for every even number? Nobody knows, but most mathematicians seem to think that it is true. (The conjecture is known to be true for all even integers less than 20 000 000 000 or so. It is also known that every "sufficiently large" even integer can be written as the sum of a prime number and an integer with at most two prime factors.) Two consecutive odd numbers which are both prime are called twin primes, e.g. 5 and 7, or 41 and 43, or 1,000,000,000,061 and 1,000,000,000,063. But is there an infinite number of twin primes?

5. Unsolved Problems In OR
   unsolved problems in OR. This page contains a list of open problems that I find intriguing. They are not as difficult or as significant  
   http://www.statslab.cam.ac.uk/~rrw1/research/unsolved.html
   
   Extractions: This page contains a list of open problems that I find intriguing. They are not as difficult or as significant as the question of whether P does or not equal NP. But these are problems that are easy to state and understand, but whose solution has defied the efforts of good researchers over a number of years. Most of these problems are in the realm of stochastic optimization. I would love to see a solution to any of these problems. This page is under construction. I plan to write something about the following problems, and others, in due course. The bomber problem See description The rendezvous problem See description Search for a moving target See abstract Non-preemptive release of stochastic jobs to uniform machines See abstract The unimportance of inserted idle time in non-preemptive stochastic scheduling to minimize flow time on parallel machines home page

6. Mathsoft: Mathsoft Unsolved Problems: Unsolved Problems On Other Sites
   unsolved problems on Other Sites. Jeff Martin); Richard Weber s unsolved problems in Operations Research (University of Cambridge);  
   http://www.mathsoft.com/mathresources/problems/article/0,,1999,00.html
   
   Extractions: search site map about us  + news  + ... Unsolved Problems Unsolved Problems Links On a Generalized Fermat-Wiles Equation Zero Divisor Structure in Real Algebras Sleeping Habits of Armadillos Mathsoft Constants ... Math Resources Unsolved Problems on Other Sites Jeff Lagarias' 3x+1 problem and related problems The Generalized 3x+1 Mapping (University of Queensland) and 1999 Conference on the Collatz Problem Proceedings Alex Lopez-Ortiz's sci.math FAQ on Famous Problems in Mathematics (University of New Brunswick) Chris Caldwell's Riemann Hypothesis (University of Tennessee at Martin); also Daniel Bump's Riemann Hypothesis (Stanford University) and Barry Cipra's A Prime Case of Chaos MathPro Press Unsolved Math Problem of the Week column and General References Twin Primes Conjecture and Goldbach's Conjecture, discussed in Prime Numbers: Some Unsolved Problems , part of MacTutor History of Mathematics (University of St Andrews); also Chris Caldwell's Prime Conjectures and Open Questions (University of Tennessee at Martin) Jan Otto Munch Pedersen's Known Amicable Pairs (Vejle Business College, Denmark) and Chris Caldwell's

7. Unsolved Problems And Conjectures
   Regarding equal sums of like powers, compiled by Chen Shuwen.  
   http://member.netease.com/~chin/eslp/unsolve.htm
   
   Extractions: Unsolved Problems and Conjectures The Prouhet-Tarry-Escott Problem Is it solvable in integers for any n How to find new solutions for n = 10 and How to find the general solution for n How to find a new solution of the type ( k =1, 2, 3, 4, 5, 6, 7, 8 ) How to find non-symmetric ideal solutions of ( k =1, 2, 3, 4, 5, 6, 7, 8 ) and ( k =1, 2, 3, 4, 5, 6, 7, 8, 9 ) How to find a solution chain of the type ( k = 1, 2, 3, 4 ) Some other open problems are present on Questions by Lander-Parkin-Selfrige (1967) a k + a k + ... + a m k = b k + b k + ... + b n k Is ( k m n ) always solvable when m n k Is it true that ( k m n ) is never solvable when m n k For which k m n such that m n k is ( k m n ) solvable ?

8. Some Unsolved Problems
   To my knowledge they are all unsolved. Of course, this is not a complete list of all unsolved problems in mathematics. For instance  
   http://www.math.unibas.ch/~winkel/problem.html
   
   Extractions: This is a collection of some mathematical questions, which I encountered somehow, mostly in the context of my own research. To my knowledge they are all unsolved. Of course, this is not a complete list of all unsolved problems in mathematics. For instance, I omitted those problems which everybody knows anyway (like the Jacobi conjecture). Furthermore the choice is made following my personal taste and prejudices. I certainly do not want to claim that these are the most important problems in today mathematics. Nevertheless, I am very curious about the problems listed below. If anybody is able to solve one or more or knows some results in these directions, please tell me. Does there exists a compact Riemann surface M of genus at least two which can be embedded into a quotient of SL C by a discrete cocompact subgroup? (This is a question raised by A.T.Huckleberry.) Remark: This question is discussed in my Book on parallelizable manifolds and some partial results are derived. In particular, such a curve can never arise as a zero-section of a rank two vector bundle. Let S be a complex semisimple Lie group

9. UNSOLVED PROBLEMS AND REWARDS
   unsolved problems and Rewards. Richard K. Guy, unsolved problems in Number Theory, second edition, SpringerVerlag, 1994. The problem originates in.  
   http://faculty.evansville.edu/ck6/integer/unsolved.html
   
   Extractions: Stated below are a few challenging problems. If you are first to publish a solution, let me know, and collect your reward! 1. The Kolakoski sequence: This sequence is is identical to its own runlength sequence. Reward: $200.00 for publishing a solution of any one of the five problems stated in Integer Sequences and Arrays. The sequence originates in William Kolakoski , "Self generating runs, Problem 5304," American Mathematical Monthly 72 (1965) 674. For a proof that the Kolakoski sequence is not periodic, see the same Monthly See also Kolakoski Sequence (Eric Weisstein's The World of Mathematics

10. Alexandre Eremenko Home Page
    Papers and Recent preprints (available in ps and pdf format) Some unsolved problems Some solved problems Stories and problems about ODE, calculus and history  
    http://www.math.purdue.edu/~eremenko/

11. Unsolved Problem Of The Week Archive
    A list of unsolved problems published by MathPro Press during 1995.  
    http://cage.rug.ac.be/~hvernaev/problems/archive.html
    
    Extractions: Each week, for your edification, we publish a well-known unsolved mathematics problem. These postings are intended to inform you of some of the difficult, yet interesting, problems that mathematicians are investigating. We give a reference so that you can get more information about the topic. These problems can be understood by the average person. Nevertheless, we do not suggest that you tackle these problems, since mathematicians have been unsuccessfully working on these problems for many years. Should you wish to discuss aspects of these problems with others, one of the newsgroups, such as sci.math , might be the appropriate forum. 3-Sep-1995 Problem 36 : Primes of the form n^n+1 27-Aug-1995 Problem 35 : Must one of n points lie on n/3 lines? 20-Aug-1995 Problem 34 : Squares with Two Different Decimal Digits 13-Aug-1995 Problem 33 : Unit Triangles in a Given Area 6-Aug-1995 Problem 32 : Can the Cube of a Sum Equal their Product 30-Jul-1995 Problem 31 : Different Number of Distances 23-Jul-1995 Problem 30 : Sum of Four Cubes 16-Jul-1995 Problem 29 : Fitting One Triangle Inside Another 9-Jul-1995 Problem 28 : Expressing 3 as the Sum of Three Cubes 2-Jul-1995 Problem 27 : Factorial that are one less than a Square 25-Jun-1995 Problem 26 : Inscribing a Square in a Curve 18-Jun-1995 Problem 25 : The Collatz Conjecture 11-Jun-1995 Problem 24 : Primes Between Consecutive Squares 4-Jun-1995 Problem 23 : Thirteen Points on a Sphere 28-May-1995

12. Overview Of "Mathematician's Secret Room"
    unsolved problems in Number Theory. English and Japanese text by Hisanori Mishima.  
    http://www.asahi-net.or.jp/~KC2H-MSM/mathland/overview.htm

13. Unsolved Problems From MathWorld
    unsolved problems from MathWorld There are many unsolved problems in mathematics. Some prominent outstanding unsolved problems (as well as some which are not necessarily so well known) include  
    http://rdre1.inktomi.com/click?u=http://mathworld.wolfram.com/UnsolvedProblems.h

14. Unsolved Problems -- From MathWorld
    unsolved problems. Some prominent outstanding unsolved problems (as well as some which are not necessarily so well known) include 1. The Goldbach conjecture.  
    http://mathworld.wolfram.com/UnsolvedProblems.html
    
    Extractions: 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

15. Open Problems List
    A collection of papers outlining unsolved problems in the field of dynamical systems.  
    http://www.math.sunysb.edu/dynamics/open.html

16. [gr-qc/0107090] Current Trends In Mathematical Cosmology
    A review of current unsolved problems in mathematical cosmology  
    http://arxiv.org/abs/gr-qc/0107090
    
    Extractions: We present an elementary account of mathematical cosmology through a series of important unsolved problems. We introduce the fundamental notion of `a cosmology' and focus on the issue of singularities as a theme unifying many current, seemingly unrelated trends of this subject. We discuss problems associated with the definition and asymptotic structure of the notion of cosmological solution and also problems related to the qualification of approximations and to the ranges of validity of given cosmologies. References and citations for this submission:

17. Unsolved Problems
    Math Problems, Games, and Puzzles Problems. Real World Mathematics. Puzzles and Math Miscellany. unsolved problems. unsolved problems. unsolved problems in Operations Research. Unsolved  
    http://www.spartanburg2.k12.sc.us/links/problems.htm

18. Konrad Lorenz Institute For Comparative Ethology
    An Institute of the Austrian Academy of Sciences that investigates the major unsolved problems in behavioral and evolutionary ecology.  
    http://www.oeaw.ac.at/klivv

19. Hilbert's Problems From MathWorld
    Hilbert's Problems from MathWorld A set of (originally) unsolved problems in mathematics proposed by Hilbert. Of the 23 total, ten were presented at the Second International Congress in Paris  
    http://rdre1.inktomi.com/click?u=http://mathworld.wolfram.com/HilbertsProblems.h

20. Combinatorial Game Theory
    Includes Gamesman Toolkit, which implements the mathematics of twoplayer games in Winning Ways; and Richard K. Guy's paper unsolved problems in Combinatorial Games.  
    http://www.gac.edu/~wolfe/papers-games/
    
    Extractions: I'm beginning to write some gameboard LaTeX macros, but they are in a state of flux. In particular, I hope to design less angular drawings of some of the games and to include more general ways of marking stones and squares. Feel free to download them, and let me know what suggestions you have. In particular, what input format would you want for adding markings? The sty file, gameboard.sty requires pstricks.sty and epic.sty . The file gameboard.tex has examples. I'm happy to report that Aaron Siegel at Berkeley has written a new Combinatorial Game Suite which is a dramatic improvement over my toolkit. In particular, The Suite is designed to be more flexible and extensible. For instance, you can implement the rules to a new game by writing a plug-in without making any changes to source code. The Suite is written in Java making it portable. (It's been tested on Windows 2000/XP, Linux and Solaris.) Aaron has provided additional functionality that were not part of my toolkit distribution, such as support for loopy games and thermographs. The Suite's has an easy to use graphical user interface.

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