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Unsolved Problems: more books (100)

The Music of the Primes: Why an Unsolved Problem in Mathematics Matters by Marcus du Sautoy, 2004-09-06
UNSOLVED AND UNSOLVABLE PROBLEMS IN GEOMETRY by HERBERT MESCHKOWSKI, 1966
Some unsolved social problems of a university town by Arthur Evans Wood, 2010-09-13
Only Problems, not Solutions! by Florentin Smarandache, 2007-12-01
Famous problems of mathematics;: Solved and unsolved mathematical problems, from antiquity to modern times by Heinrich Tietze, 1965
Puerto Rico, unsolved problem, by Earl S. Garver ... [and] Ernest B. Fincher. With maps and drawings by John Morgan and William Schuhle by Earl Simeon Garver, 1945-01-01
Unsolved Problems in Number Theory (Problem Books in Mathematics / Unsolved Problems in Intuitive Mathematics) by Richard Guy, 2010-11-02
Research on Smarandache Unsolved Problems (in Chinese language), Vol. 5 (Chinese Edition) by editors Jianghua Li & Yanchun Guo, 2009-09-16
Math Odyssey 2000: Puzzles, Mysteries, Unsolved Problems, Breakthroughs, and the People of Mathematics by Clement W. Falbo, 1994-01
Unsolved Problems in Computer Science: P Versus Np Problem, Aanderaa-karp-rosenberg Conjecture
Unsolved Problems in Physics: Accretion Disc, Ball Lightning, Magnetic Monopole, List of Unsolved Problems in Physics, Pioneer Anomaly
The Three Unsolved Problems of Ancient Greece: An entry from Gale's <i>Science and Its Times</i> by Todd Timmons, 2001
Famous Problems of Mathematics, Solved & Unsolved Problems From Antiquity to Modern Times, by Heinrich, Tietze, 1965
Mark Ellis, or, Unsolved Problems by Will C. Whisner, 1899

lists with details

Unsolved Problems
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
http://math.fau.edu/locke/Unsolved.htm

Extractions: 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. ( How to contact me .) If I receive comments on these new problems, I will of course post those that seem suitable (and, at that point, I would presumably post the problem to which the comment refers). Note, however, the publisher does have a site for the text, http://blogs.springer.com/bondyandmurty/ , and it would seem reasonable that one should post comments there. Also, I'm not giving you all of the references in
The Mechanism That Makes Fundamental Mass
Page devoted to the symmetry breaking, the mechanism that makes all mass.
http://www.jupiterscientific.org/sciinfo/fundmass.html

Extractions: Is the Mechanism That Makes All Mass. E verything in the world has mass, and since everything is made up of atoms of electrons, protons and neutrons, the mass of everything is due to the mass of these subatomic particles. A proton weighs about 2000 times the weight of an electron. A neutron is slightly heavier than a proton. During the last part of the 20th century, physicists have constructed a theory of subatomic particles and their interactions known as the Standard Model of particle physics. Three forces operate in this microscopic world: electromagnetism, which encompasses the electric and magnetic forces; the strong nuclear force, which holds the protons and neutrons together in the nucleus, or heavy central core of an atom; and the weak subnuclear force, which causes some nuclei to decay in radioactive processes and helps to generate energy at the center of the Sun. The weak subnuclear force and electromagnetism have been unified into a single structure known as the electroweak theory. One of the great principles of particle physics
Are These The Top 11 Unsolved Problems In Economics?
Wikipedia has a list of the top 11 unsolved problems in economics. I love the concept, but I am not a fan of the choices, as I explain in Are These The Top 11 Unsolved Problems in
http://economics.about.com/b/2008/08/14/are-these-the-top-11-unsolved-problems-i

Extractions: zWASL=1;zGRH=1 zJs=10 zJs=11 zJs=12 zJs=13 zc(5,'jsc',zJs,9999999,'') zDO=0 Home Education Economics Search From Mike Moffatt, Former Economics Guide Thursday August 14, 2008 Wikipedia has a list of the top 11 unsolved problems in economics. I love the concept, but I am not a fan of the choices, as I explain in: I would love to get your take. Please leave a comment! Some of these 11 questions have already been properly answered and consequently are invalid as appearing on the list. However, even if the answers are known, the amount of public knowledge about these answers is minimal and so the question remains as apparently being significant. I think that the most serious question about which more publicity should be given is how in a technological expanding world, does poverty continue to exist? The answer is that there is a lack of opportunity to work caused by the way the land is owned and controlled and no matter how good our machines and computers get, we must also share our natural and man-made resources is a more just way. This can be achieved by taxation of land values, for wich the Henry George web-sites give a more detailed explanation.
Open Problems On Perfect Graphs
Unsolved problems on perfect graphs.
http://www.cs.concordia.ca/~chvatal/perfect/problems.html

Extractions: (compiled by Maria Chudnovsky) A bibliography on perfect graphs Home pages of people interested in perfect graphs This collection is written for people with at least a basic knowledge of perfect graphs. Uninformed neophytes may look up the missing definitions on the web in Alexander Schrijver's lecture notes or in Jerry Spinrad's draft of a book on efficient graph representations etc. or in MathWorld . Books on perfect graphs include M. C. Golumbic, Algorithmic graph theory and perfect graphs.
Problem -- From Wolfram MathWorld
There are many unsolved problems in mathematics. Two famous problems which
http://mathworld.wolfram.com/Problem.html

Extractions: Problem A problem is an exercise whose solution is desired. Mathematical "problems" may therefore range from simple puzzles to examination and contest problems to propositions whose proofs require insightful analysis. Although not absolutely standard, The Greeks distinguished between "problems" (roughly, the construction of various figures) and " theorems " (establishing the properties of said figures; Heath 1956, pp. 252, 262, and 264). There are many unsolved problems in mathematics. Two famous problems which have recently been solved include Fermat's last theorem (by Andrew Wiles) and the Kepler conjecture (by T. C. Hales). Among the most prominent of remaining unsolved problems are the Goldbach conjecture Riemann hypothesis , the conjecture that there are an infinite number of twin primes , as well as many more. K.S. Brown, D. Eppstein, S. Finch, and C. Kimberling maintain extensive pages of unsolved problems in mathematics. SEE ALSO: Axiom Corollary Porism Lemma ... Unsolved Problems REFERENCES: Artino, R. A.; Gaglione, A. M.; and Shell, N.
10 Great Unsolved Problems - Top 10 Lists | Listverse
Top 10 Lists In various fields of human study there are problems that have never been solved. Some theories have been put forward, but not one fully satisfies the question.
http://listverse.com/2007/10/08/10-great-unsolved-problems/
Unsolved Problems
Understanding Mathematics by Peter Alfeld, Department of Mathematics, University of Utah Some Simple Unsolved Problems
http://www.math.utah.edu/~alfeld/math/conjectures.html

Extractions: Understanding Mathematics by Peter Alfeld, Department of Mathematics, University of Utah One of the things that turned me on to math were some simple sounding but unsolved problems that were easy for a high school student to understand. This page lists some of them. To understand them you need to understand the concept of a prime number A prime number is a natural number greater than 1 that can be divided evenly only by 1 and itself. Thus the first few prime numbers are You can see a longer list of prime numbers if you like. Named after the number theorist Christian Goldbach (1690-1764). The problem: is it possible to write every even number greater than 2 as the sum of two primes? The conjecture says "yes", but nobody knows. You can explore the Goldbach conjecture interactively with the Prime Machine applet.
Unsolved Problems Of Science
It is only a matter of time before the unsolvable becomes solved. Many scientist of ancient time thought the earth was flat with a huge water fall at the end, thus discouraged
http://www.moolf.com/interesting/unsolved-problems-of-science.html

Extractions: A Little of Everything (27 Votes) tweetmeme_url = 'http://www.moolf.com/interesting/unsolved-problems-of-science.html'; tweetmeme_source = 'your twitter name'; tweetmeme_service = ''; tweetmeme_hashtags = ''; shareme_window = 'new'; shareme_bgcolor = '#ffffff'; tweetme_title = 'Unsolved Problems of Science'; It is only a matter of time before the unsolvable becomes solved. Many scientist of ancient time thought the earth was flat with a huge water fall at the end, thus discouraged explorers from traveling the sea. Philosophers of the early time could not explain what why a person got sick let alone what the cause of it was. Thay only know of basic home remedies that could aliviate the symptoms and didn’t know why the remedy worked. Today, those problems are of the past and man have solved so many dificult scientific and philosophical concepts that plagued ancient scientists. With the solutions to old problems have brought on more dificult problems in the modern world and some day our children will solve the problems that we face today.
Unsolved Problems And Conjectures
Regarding equal sums of like powers, compiled by Chen Shuwen.
http://euler.free.fr/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 ?
TOP TEN UNSOLVED PROBLEMS IN PHYSICS
TOP TEN UNSOLVED PROBLEMS IN PHYSICS. Are all the (measurable) dimensionless parameters that characterize the physical universe calculable in principle or are some merely
http://www.oglethorpe.edu/faculty/~m_rulison/top10.htm

Extractions: TOP TEN UNSOLVED PROBLEMS IN PHYSICS Are all the (measurable) dimensionless parameters that characterize the physical universe calculable in principle or are some merely determined by historical or quantum mechanical accident and uncalculable? How can quantum gravity help explain the origin of the universe? Two of the great theories of modern physics are the standard model, which uses quantum mechanics to describe the subatomic particles and the forces they obey, and general relativity, the theory of gravity. Physicists have long hoped that merging the two into a "theory of everything" quantum gravity would yield a deeper understanding of the universe, including how it spontaneously popped into existence with the Big Bang. The leading candidate for this merger is superstring theory, or M theory, as the latest, souped-up version is called (with the M standing for "magic," "mystery," or "mother of all theories"). What is the lifetime of the proton and how do we understand it?
Unsolved Problems: References
Unsolved Problems General References The following books contain unsolved problems or are referenced by the unsolved problem of the week. Especially rich are , and . Beiler 1966
http://cage.ugent.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
Favorite Unsolved Problems
Alexandre Eremenko (Purdue University). Mainly in analysis.
http://www.math.purdue.edu/~eremenko/

Extractions: OFFICE: Math 450 PHONE: (765)494-1975, FAX: (765)494-0548, EMAIL: eremenko@math.purdue.edu Papers and Preprints (available in ps and pdf format), Some unsolved problems Some solved problems Stories and problems about ODE, calculus and history of science. Co-authors Free old and new journals and books on line:
Unsolved Problems In Process/Product Systems Engineering
File Format PDF/Adobe Acrobat Quick View
http://www.chbmeng.ohio-state.edu/centennial/westerberg.pdf
Unsolved Problems In Nanotechnology
File Format PDF/Adobe Acrobat Quick View
http://www.chbmeng.ohio-state.edu/centennial/tirrell.pdf
Hilbert's Problems -- From Wolfram MathWorld
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
http://mathworld.wolfram.com/HilbertsProblems.html

Extractions: 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." 1. "Cantor's problem of the cardinal number of the continuum." The question of if there is a transfinite number between that of a denumerable set and the numbers of the continuum continuum hypothesis to the effect that the answer depends on the particular version of set theory assumed. The question of if the
MathPages Wanted List
Elementary unsolved problems in mathematics, listed at the MathPages archive.
http://mathpages.com/home/mwlist.htm

Extractions: The twenty-five mathematical problems and questions listed below were first posted on the internet in 1995. Since that time, Problems 5, 7, 8, and 22 have been solved completely, and part of Question 12 has been answered. The other problems remain unsolved. The links in this list point to articles on the MathPages web site containing more background on each problem, and partial or related results. (1) If each "1" in the binary representation of the integer x signifies a point in the corresponding position on a linear lattice, and if x' denotes the binary digit reversal of x, prove or disprove that the equality xx' = yy' implies that x and y have the same multi-set of point-to point distances. Ref: Generating Functions for Point Set Distances Isospectral Point Sets in Higher Dimensions (2) Find an elementary proof that x^2 + y^2 and x^2 + 103y^2 cannot both be squares for non-zero integers x,y. Ref: Concordant Forms (3) Prove (or disprove) that the only solutions of ab = c (mod a+b) ac = b (mod a+c) bc = a (mod b+c) in positive coprime integers are (1,1,1) and (5,7,11). Ref: A Knot of Congruences Limit Cycles of xy (mod x+y) More Results on the Form xy (mod x+y) Permutation Loops ... String Algebra (5) In how many distinct ways can the integers through 15 be arranged in a 4x4 array such that the bitwise OR over each row, column, and diagonal is 15, and the bitwise AND over each row, column, and diagonal is 0? Ref:
Unsolved Problems In Biomolecular Engineering
File Format PDF/Adobe Acrobat Quick View
http://www.chbmeng.ohio-state.edu/centennial/shuler.pdf
Dr. Clara Vlaander: Amsterdam, Trauma, Shock, Angst, Depressie, Hyperventilatie,
Clinical psychologist, psychotherapist and healer, based in Estepona (near Marbella), Spain, offers individual psychotherapy and healing treatments and workshops for people with a chronic disease, life-threatening illness or for those who feel hooked by seemingly unsolvable problems.
http://www.claravlaander.com

Extractions: var MODX_MEDIA_PATH = "media"; Mijn naam is Clara Vlaander-van der Giesen. In 1978 ben ik afgestudeerd in de klinische psychologie aan de Vrije Universiteit van Amsterdam. Ook rondde ik een individuele leertherapie van 5 jaar af die ik kreeg van de grondlegger van de Hypno- en Gestalttherapie in Nederland: Drs. Frank Smulders. Vanaf 1976 ontwikkelde ik verschillende therapievormen, en leidde ik onderzoek aan de Vrije Universiteit naar het effect van cognitieve gedragstherapie bij hyperventilatie. Ademhaling, ontspanning en biofeedback vormden belangrijke elementen in de begeleiding. Dit onderzoek mondde uit in een proefschrift over diagnose en behandeling van het Hyperventilatie Syndroom en ik behaalde mijn doctorstitel in de Psychologische- en Medische faculteit in 1986. Tegelijkertijd volgde ik een 4 jarig opleidingstraject ten behoeve van de registratie Klinisch Psycholoog van het Nederlandse Instituut v. Psychologen (N.I.P.). Voor registraties/publicaties zie onder CV.
Absolute Today Unsolved Problems
Aug 4, 2010 There are many unsolved problems in mathematics. Some prominent outstanding unsolved problems (as well as some which are not necessarily so
http://www.absolutetoday.com/blogengine/post/2010/08/04/Unsolved-Problems.aspx
[gr-qc/0107090] Current Trends In Mathematical Cosmology
Technical article which reviews current unsolved problems in mathematical cosmology, including the question of singularities, problems associated with the definition and asymptotic structure of the notion of cosmological solutions, and problems related to the qualification of approximations. By Spiros Cotsakis (University of the Aegean).
http://arxiv.org/abs/gr-qc/0107090

Extractions: refers to ... what is this? what is this? Authors: Spiros Cotsakis (Submitted on 27 Jul 2001 ( ), last revised 28 Jul 2001 (this version, v2)) Abstract: 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. Comments: 16 pages, LaTeX. To appear in the Proceedings of the 2nd Hellenic Cosmology Workshop, (Kluwer, 2001) Subjects: General Relativity and Quantum Cosmology (gr-qc) ; Astrophysics (astro-ph); High Energy Physics - Theory (hep-th) Cite as: arXiv:gr-qc/0107090v2 From: Spiros Cotsakis [ view email

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