ULM Mathematics Courses and unsolved problems. mathematics 202. Applied Linear Algebra. (3 cr.) PrerequisiteA grade of C or better in math 131 or math 114 and advanced standing. http://www.ulm.edu/~mathweb/catalog.html
Mudd Math Fun Facts: Riemann Hypothesis here is a Fun Fact at the advanced level and is one of the great unsolved problemsof mathematics find it fascinating that a great unsolved problem amounts to http://www.math.hmc.edu/funfacts/ffiles/30002.5.shtml
Extractions: Francis Edward Su From the Fun Fact files, here is a Fun Fact at the Advanced level: If you know about complex numbers, you will be able to appreciate one of the great unsolved problems of our time. The Riemann zeta function is defined by Zeta(z) = SUM k=1 to infinity (1/k z This is the harmonic series for z=1 and Sums of Reciprocal Powers if you set z equal to other positive integers. The function can be extended to the entire complex plane (with some poles) by a process called "analytic continuation", although what that is won't concern us here. It is of great interest to find the zeroes of this function. The function is trivially zero at the negative even integers, but where are all the other zeroes? To date, the only other zeroes known all lie on the line in the complex plane with real part equal to 1/2. This has been checked for several hundred million zeroes! No one knows, however, if
Extractions: Select a Chapter Animals and Pets Arts and Literature Business and Finance Children and Family Computers and the Internet eCommerce and Shopping Education and Higher Learning Entertainment and Media Food and Drink Government and Politics Health and Fitness History and the Human Experience Hobbies and Special Interest Home and Lifestyle Philosophy and Religion Science and Technology Sports and Recreation Travel and Tourism What's the Buzz Escape Hatch: Cartoons and Comics Jokes and Funnies Open Mic Poetry Bee Short Fixion Mathematics is the science of using numbers, sets of points and various abstract elements and symbols to calculate the measurement, properties and relationships of quantities. Throughout history, the goal of mathematics education has been to develop accurate and logical thinking in individuals so they can apply their newly gained knowledge to solving all kinds of problems. Math is therefore an important course of educational study, especially in preparing college students for careers in business, engineering, medicine, psychology and the various sciences. This section provides resources that focus on unsolved mathematical problems and the possible solutions and generalizations that can be formulated about them.
(the Cry) ---- Search Engine advanced Calculus and Analysis Lecture notes from url www.math.ucdavis.edu/~emsilvia/math127 FavoriteUnsolved problems Alexandre Eremenko (Purdue University). http://www.thecry.com/cgi-bin/odp/index.cgi?base=/Science/Math/Analysis/
CELTICA CAT unsolved problems in Function Theory Notes by Alexandre Eremenko urlwww.math.purdue.edu/~eremenko/uns.html. AdvancedCalculus and Analysis Lecture notes from http://www.celticsurf.net/odp/index.cgi?base=/Science/Math/Analysis/
AIM Announces New Conference Center Hill To Become WorldClass math Destination Visited as a group, on developing advancedmathematical tools. one of the central unsolved problems in mathematics. http://www.aimath.org/release2.html
Extractions: American Institute of Mathematics Funds Earmarked for Creation of New US Math Research Conference Center; Scenic Morgan Hill To Become World-Class Math Destination Visited By Hundreds of Mathematicians Each Year PALO ALTO, CAJuly 12, 2002 The American Institute of Mathematics (AIM) today announced that it has been awarded a grant of $5 million by the National Science Foundation. The award is the result of a proposal submitted by AIM as part of a national competition. The funds will be used to support top mathematicians and scientists to attend focused workshops at a new conference center planned for Morgan Hill. AIM, a nonprofit organization, was founded in 1994 by local businessmen John Fry and Steve Sorenson, longtime supporters of mathematical research. The AIM Research Conference Center (ARCC) will be one of only a handful of its kind world wide, and is expected to become a stimulating retreat for some of today's brightest minds as they collaborate to solve important mathematical problems. "We are extremely gratified to have been awarded this grant," said Brian Conrey, Director of the AIM. "Over the last few years, the American Institute of Mathematics has been a pioneer in the development of groundbreaking collaborations that have led to remarkable mathematical results. The atmosphere of active collaboration at these workshops will lead to novel ways of thinking aboutand solvingthe critical mathematical problems that are essential for future scientific breakthroughs. Our plans are ambitious, but they are in keeping with the pressing need to address the numerous challenges that confront us."
Listings Of The World Science Math Analysis advanced Calculus and Analysis Post Review Lecture notes http//www.math.ucdavis.edu/~emsilvia/math127 FavoriteUnsolved problems Post Review Alexandre Eremenko http://listingsworld.com/Science/Math/Analysis/
Extractions: The Millennium Problems: The Seven Greatest Unsolved Mathematical Puzzles of Our Time Author: Keith J. Devlin Keith J. Evlin Amazon Review Link: Amazon Sales Rank: Amazon.co.uk Sales Rank: Bn.com Sales Rank: [ Compare Price ] [ Add To Wish List ] Publisher: Basic Books Pub. Date: 15 October, 2002 Edition: Format: Hardcover, 256 pages ISBN: List Price: 26.00 USD Pledged by a wealthy amateur math enthusiast, $1 million per problem awaits whoever can solve the seven problems mathematician Devlin describes in this work. A similar proposition, minus the money, was made in 1900 by the German mathematician David Hilbert, who listed two dozen math mysteries he hoped would be dispelled in the coming century. All but one were, and that one, called the Riemann hypothesis, carries over to the new set of conundrums. The Riemann hypothesis is comprehensible to an advanced high-school math student, thanks to Devlin's clarity as well as his experience in popular exposition as the author of books such as The Math Gene (2000) and NPR's explainer of all things mathematical. As to the rest of the conjectures, Devlin directly states that no one without a doctorate could understand them, let alone crack them. But as a skilled guide pointing out the shape of the problems, and the practical implications of their solutions, Devlin's intriguing book will appeal to the lay reader curious about the abstract frontiers of math.
Geometry -- From MathWorld Meschkowski, H. unsolved and Unsolvable problems in Geometry. Moise, E. E. ElementaryGeometry from an advanced Standpoint, 3rd ed. Reading, MA Addison http://mathworld.wolfram.com/Geometry.html
Extractions: Geometry is the study of figures in a space of a given number of dimensions and of a given type. The most common types of geometry are plane geometry (dealing with objects like the line circle triangle , and polygon solid geometry (dealing with objects like the line sphere , and polyhedron ), and spherical geometry (dealing with objects like the spherical triangle and spherical polygon ). Geometry was part of the quadrivium taught in medieval universities. Historically, the study of geometry proceeds from a small number of accepted truths ( axioms or postulates ), then builds up true statements using a systematic and rigorous step-by-step proof . However, there is much more to geometry than this relatively dry textbook approach, as evidenced by some of the beautiful and unexpected results of projective geometry (not to mention Schubert's powerful but questionable enumerative geometry The late mathematician E. T. Bell has described geometry as follows (Coxeter and Greitzer 1967, p. 1): "With a literature much vaster than those of algebra and arithmetic combined, and at least as extensive as that of
Number Theory -- From MathWorld math. Soc., 1992. Cohn, H. advanced Number Theory. Guy, R. K. unsolved Problemsin Number Theory, 2nd ed. New York SpringerVerlag, 1994. http://mathworld.wolfram.com/NumberTheory.html
Extractions: A vast and fascinating field of mathematics, sometimes called "higher arithmetic," consisting of the study of the properties of whole numbers. Primes and prime factorization are especially important in number theory, as are a number of functions such as the divisor function Riemann zeta function , and totient function . Excellent introductions to number theory may be found in Ore (1988) and Beiler (1966). The classic history on the subject (now slightly dated) is that of Dickson (1952). The great difficulty required to prove relatively simple results in number theory prompted no less an authority than Gauss to remark that "it is just this which gives the higher arithmetic that magical charm which has made it the favorite science of the greatest mathematicians, not to mention its inexhaustible wealth, wherein it so greatly surpasses other parts of mathematics." Gauss, often known as the "prince of mathematics," called mathematics the "queen of the sciences,"' and considered number theory the "queen of mathematics" (Beiler 1966, Goldman 1997). Abstract Algebra Additive Number Theory Arithmetic Congruence ... Totient Function
Math Websites Algebra Online Http//www.algebra-online.com library.advanced.org/11771/english/hi/math/ UCF Ole Miss CASIO CONTEST PAGE http//pegasus.cc.ucf.edu/~mathed/problem.htmlUnsolved mathematics problems http http://www-dawson.dsc.k12.ar.us/for_teachers_only_math.html
EBroadcast Internet Directories You'll Find It At The Internet advanced Calculus and Analysis Add to favorites url www.math.ucdavis.edu/~emsilvia/math127 FavoriteUnsolved problems Add to favorites Alexandre Eremenko http://www.ebroadcast.com.au/cgi-bin/etopic/index.cgi?base=/Science/Math/Analysi
Scientific American: Mathematics last theorem, which required very advanced mathematics to But not all open problemsdemand the attention of a tradition of posing unsolved problems to students http://www.sciam.com/article.cfm?articleID=000837D2-E8FB-1CF3-93F6809EC5880000
UIUC Guide To Graduate Student In Number Theory in the area, but one famous unsolved problem is led to the solution of importantproblems, such as elementary number theory from an advanced viewpoint, Gauss http://www.math.uiuc.edu/ResearchAreas/numbertheory/guide.html
Extractions: Faculty Visitors Students Courses ... Social Events The object of number theory is to study intrinsic properties of integers, and, more generally of numbers. Here we shall discuss some of the main areas of number theory and some of the important problems in each area. Included in elementary number theory are divisibility and prime factorization, residue classes, congruences, the quadratic reciprocity law, representation of numbers by forms, diophantine equations, continued fraction approximations and sieves. Because of its charm and general accessibility, this is one of the best known areas of number theory. The description "elementary" refers more to the nature of the methods employed than to the level of difficulty of the subject. In analytic number theory an arithmetical phenomenon is represented by a related function, generally an analytic function of a complex variable. Information about the arithmetical problem, generally of an asymptotic nature, is then extracted by analysis of the associated function. It is remarkable that study of continuous quantities yields information in discrete problems. The first famous result in this area is Dirichlet's theorem that any arithmetic progression, a, a + q, a + 2q, ... contains an infinite number of primes provided only that a and q are relatively prime. Corresponding results for non-linear polynomial sequences (n^2 + 1, for example) are almost certainly true but remain unproved. Sieves are combinatorial devices for counting, in a given integer sequence, elements having very few prime factors. In combination with analytic means, these devices have had considerable success in recent years in a variety of contexts ranging from measuring gaps between consecutive primes to Fermat's Last Theorem. Outstanding unsolved problems include the Riemann hypothesis on the location of the zeros of the Riemann zeta function and the conjecture that there exist an infinite number of "twin primes" p and p + 2.
Math Sites Totally Tessellatedhttp//library.advanced.org/16661. math Puzzles Clay math Institute-7Unsolved math problems-Win $1 Million dollars for solving each of http://www.aea2.k12.ia.us/curriculum/math.html
Extractions: Math Sites Advanced Math Mathematicians Algebra Math Puzzles ... Lesson Plans/Units Showcase Sites These sites demonstrate the interactive potential of the WWW in helping students with math concepts and problem solving. MarcoPolo -Premier site for the arts, humanities, science, math, economics, and geography. Standards based lesson plans are provided. Ask Dr. Math -Students can e-mail experts about math problems. The experts only give the students partial answers to allow them to solve the problems. At http://mathforum.org/dr.math/ The Fractal Microscope -an interactive tool designed by the National Center for Supercomputing Applications for exploring the world of fractals. (http://www.ncsa.uiuc.edu/Edu/Fractal/) Manipula Math with Java at: http://www.ies.co.jp/math/java/index.html Math Baseball -Kids can learn math and have fun playing baseball at the same time. (http://www.funbrain.com/math/index.html) Mathematics Lessons at: http://math.rice.edu/~lanius/Lessons MathStories.com -The goal of this web site is to help grade school children improve their math problem-solving and critical thinking skills. It has over 4000 math word problems for children to enjoy-http://www.mathstories.com Mrs. Glosser's Math Goodies
Web Sites For 1115 Egyptian fractions; unsolved problems; naming large numbers; this site assumes greatermath background; Indiana proof; Mersenne Primes and more advanced extensions; http://www.css.edu/users/aguckin/WebSites1115.htm
Extractions: Web sites for Mathematics for Teachers Web sites can be very useful. However, any list will need to be modified frequently. These are some good sites for getting started. You will find other sites that you like and some of these sites will become inaccessible. Start keeping your own mathematics bookmarks and record a brief dedscription of them. You will be expected to have your modified list in your portfolio. PBS Mathline site periodically lists Web resources for teachers. Check out the following site for incorporating math ideas into activities for elementary students . This will change regularly which can be a very useful! Web sites arranged by topic i deas for younger children Texas Instrument; a commercial site; contains helpful links TI calculators Calendar Compute the day of week for a given date Calendar activities and Algebra Card Games Links to card games Alphametric site Cryptarithmetic and hints for solving Cryptography some basic ideas License coding Public Key Encrytion Links to more on Encrytion Combinatorics Includes creating subsets, combinations and permutations
Extractions: Select a journal... Adelphi Papers African Affairs Age and Ageing Alcohol and Alcoholism American Journal of Epidemiology American Law and Economics Review American Literary History Annals of Botany Annals of Occupational Hygiene Annals of Oncology Applied Linguistics Australasian Journal of Philosophy Behavioral Ecology Bioinformatics Biometrika Biostatistics BJA: British Journal of Anaesthesia BJA: CEPD Reviews Brain Brief Treatment and Crisis Intervention British Journal of Aesthetics British Journal of Criminology British Jnl. for the Philosophy of Sci. British Journal of Social Work British Medical Bulletin BWP Update Cambridge Journal of Economics Cambridge Quarterly Carcinogenesis Cerebral Cortex Chemical Senses Classical Quarterly Classical Review Clinical Psychology: Science and Practice Communication Theory Community Development Journal Computer Bulletin Computer Journal Contemporary Economic Policy Contributions to Political Economy ELT Journal EMBO Journal Early Music Economic Inquiry English Historical Review Environmental Practice Epidemiologic Reviews ESHRE Monographs Essays in Criticism European Journal of International Law European Journal of Orthodontics European Journal of Public Health European Review of Agricultural Economics European Sociological Review Family Practice Forestry Forum for Modern Language Studies French History French Studies Glycobiology Greece and Rome Health Education Research Health Policy and Planning Health Promotion International History Workshop Journal Holocaust and Genocide Studies Human Communication Research
Research What about more advanced recent topics in mathematics Although some of Hilbert's problemsare vague, the is considered the most outstanding unsolved problem in http://www.math.wustl.edu/~nweaver/research.html
Extractions: Mathematical truths are tautological - so they can never be falsified. Because of this, the discipline of mathematics is fundamentally cumulative. It keeps building on itself, creating more and more elaborate structures. All of the "easy" things in math were discovered very long ago and are now known to every educated person. More advanced topics are hard to explain if one has to jump over intermediate material, as if you tried to explain division to someone who did not already know multiplication. Actually, much advanced math logically cannot be explained to laymen: once you had covered all of the necessary intermediate material, the listener would be an expert himself!
Links To Other Mathematical Recreations, Games And Puzzles Lots of stuff about palindromes. The mathSoft math Puzzle Page, Including Puzzle 45. Includes table of known primes, conjectures, unsolved problems, etc. http://bruichladdich.dcs.st-and.ac.uk/mathrecsFolder/links.html
