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Prospectus Ideally an advanced math student, knowledgable in mathematica and graphics, should Many unsolved problems soon arise, eg the existence of closed trajectories http://abel.math.harvard.edu/~ctm/home/text/class/harvard/fresh/02/html/pro.html
Extractions: Curtis T McMullen The seminar aims to develop a level of mathematical literacy sufficient to undertake a qualitative description of complex phenomena. Members will also be introduced to the practice of mathematical inquiry. The formulation of suggestive questions will be as important as the search for answers. Ideally the seminar will function as a `mathematics studio'. It will be organized around the in-depth of study of a handful of simple dynamical systems with rich internal structure. These focal examples will make contact with other areas of mathematics such as algebra, number theory, geometry and probability theory, and serve as gateways to those subjects. The seminar is experimental, and care must be taken to maintain depth and coherence as well as breadth. There may also be an opportunity to discuss resonances between modern mathematics and contemporary art, literature and popular culture. Ideally an advanced math student, knowledgable in Mathematica and graphics, should be available as a consultant for computer projects. Cantor sets, the Koch snowflake curve, the Sierpinski gasket and variations. These simple recursive sets illustrate the notion of fractional dimension as well as the definition of `wild' geometric objects by iteration.
Web Sites For Mathematics For Teachers special constants; unsolved problems. digits of pi this site assumes greater math background; Prime numbers, links to elementary and advanced level discussions http://frontpage.uwsuper.edu/aguckin/websites.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 description of them. You will be expected to have your modified list in your portfolio. PBS Mathline site periodically lists Web resources for teachers. A site from ENC.org states "thousands of web sites for educators and students", categorized by type of site or by subject . 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 Classroom activities List of activities for elementary grades 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
Books And Papers Citing Zhi-Wei Sun's Work RK Guy, unsolved problems in Number Theory (3rd ed (advanced problems and Solutions), Fibonacci Quart., 36(1999), 190 cyclotomic fields of prime degree l, math. http://pweb.nju.edu.cn/zwsun/cited.htm
Fablis Directory For /Science/Math/Analysis advanced Calculus and Analysis Lecture notes from the University of Aberdeen for a first Favorite unsolved problems - Alexandre Eremenko (Purdue University). http://directory.fablis.com/guide/Science/Math/Analysis
Extractions: Categories: See also: Sites: Advanced Calculus and Analysis - Lecture notes from the University of Aberdeen for a first course in Analysis. Companion Notes for Rudin's "Principles of Mathematical Analysis" - Notes to meant to accompany Rudin's "Principles of Mathematical Analysis." Detailed enough for self-study, with or without the book. Computability and Complexity in Analysis Network - CCA Net aims to provide a central location for collecting information useful to researchers working in the field. Constructive Approximation Open Problems - Research problems section of the journal, edited by Peter Borwein, Albert Cohen, Ingrid Daubechies and Vilmos Totik. Includes problem statement (PostScript) and discussion. Favorite Unsolved Problems - Alexandre Eremenko (Purdue University). Mainly in analysis. Front for the Mathematics ArXiv - Classical Analysis papers and preprints available in pdf, ps, and abs formats from UC Davis.
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Extractions: Calendar Admissions Curriculum Tutorial House ... Technology Office There are currently 86 resources listed from our database below. If you would like to submit an educational resource to be listed on this page, please email unis@unis.org for consideration. Topic Website Description K-12 Math FunBrain Math Batter up, play a little math baseball and test your math smarts at all levels with this mind exercising site. K-12 Math Mega-Math Get hands-on exploration of all things math with this interactive site provided by the Los Alamos National Laboratory. K-12 Math Math Projects The Math Journal offers tips, lesson plans for interactive projects, and also includes advice from educators around the globe. Geography Geography World Geography World features a large collection of resources and links for geography teachers and students at all levels. It covers things like erosion, ecosystems, population, and conservation. Geography Puzzles of the Earth Puzzles of the Earth is an interactive site that has lots of great information including lessons on plate tectonics, geographic features, the Earth's structure and much more. Geography National Geographic Xpeditions National Geographic's "Xpeditions" page is an awesome resource for the geography classroom. The beautifully designed site boasts interactive maps, tours and activities as well as teaching standards.
Read This: Essentials Of Mathematics Euclidean geometry, Tom Lehrer, famous theorems, famous unsolved problems, and the namely axiomatized arithmetic, along with other advanced math fundamentals http://www.maa.org/reviews/mathessentials.html
Extractions: by Margie Hale I feel (happily) as though I'm destined to read and review books on "what's really going on with numbers" (natural, rational, negative, real, complex...), meaning the axiomatic development of arithmetic. The last book I chose to review, among the selection that the editor gave me, happened to also be on this wonderful topic; both times that was a surprise to me, and both times I did not complain. "Axiomatized arithmetic" is a pet passion. really wants to do is to take on the work of the likes of Cantor and Dedekind. And I don't blame her! From the back cover, which summarizes the book as well as anything I might say: "The content is of two types: ... material for a 'Transitions' course at the sophomore level: introductions to logic and set theory, discussions of proof writing and proof discovery, and introductions to the number systems... The second type of content is an introduction to the professional culture of mathematics. There are many things that mathematicians know but weren't exactly taught... the philosophy of mathematics, ethics in mathematical work, professional (including student) organizations, famous theorems, famous unsolved problems, famous mathematicians, discussions of the nature of mathematics research, and more." Much of this extra material is in the last chapter, titled "And Beyond...", which attracted me enough so that I read it first. It begins by describing math research. (P. 129. "It is difficult for non-mathematicians to imagine anything
Science/Math/Analysis advanced Calculus and Analysis Lecture notes from url www.math.ucdavis.edu/~emsilvia/math127 Favorite unsolved problems Alexandre Eremenko (Purdue University). http://www.ebroadcast-info.com/information/Science/Math/Analysis/resources.html
Mathcamp 2001 Book Recs A gentle book which walks through some very interesting math, ending up with a discussion Fundamental subject matter, more advanced treatment. unsolved problems. http://www.marypat.org/mathcamp/doc2001/book01.html
Extractions: Mathcamp 2001 Stewart, From Here to Infinity: A Guide to Today's Mathematics A good view of modern math, very accessible. Hofstadter, Metamagical Themas: Questing for the Essence of Mind and Pattern Collection of articles treating subjects from recursion to game theory. Conway and Guy, The Book of Numbers Martin Gardner, Any of his math books They're all great. Ball and Coxeter, Mathematical Recreations and Essays Ian Stewart, Game, Set and Math: Enigmas and Conundrums Dunham, Journey Through Genius A history of important theorems and their motivations. Accessible and well-written. Dunham, The Mathematical Universe An A to Z on all sorts of topics in math. Chapter M, entitled "Mathematical Personality" is particularly amusing. Davis and Hirsh, The Mathematical Experience One of the best and most accessible books on the philosophy of mathematics deals with such questions as "What constitutes a proof?" It's a lot less straightforward than you might imagine! Stillwell
Mathcamp 2000 Book Recs Shanks, D., Solved and unsolved problems in Number Theory. of jokes at the back, which every math book should Analysis A Modern Approach to advanced Calculus. http://www.marypat.org/mathcamp/doc2000/book00.html
Extractions: Mathcamp 2000 Stewart, Ian, From Here to Infinity: A Guide to Today's Mathematics A good overview of modern math, very accessible. Hofstadter, Douglas, Metamagical Themas:Questing for the Essence of Mind and Pattern Collection of articles treating subjects from recursion to game theory. Hofstadter, Douglas, Godel, Escher, Bach: an Eternal Golden Braid Strange loops and strange isomorphisms (in a loose sense of the word) between music, biology, logic, computers, and other similar stuff. Won the Pulitzer Prize. A review from Meep Conway and Guy, The Book of Numbers Gardner, Martin, Any of his math books They're all great. Ball and Coxeter, Mathematical Recreations and Essays Stewart, Ian, Game, Set and Math: Enigmas and Conundrums Dunham, W., Journey Through Genius Dunham, W., The Mathematical Universe Stillwell, Mathematics and Its History Hardy, A Mathematician's Apology Stewart, Ian
TeacherSource . Recommended Books . Math | PBS who solved them or have advanced their solution. stated mission is to make math and problem The Magnificent Seven, the greatest unsolved problems, each with http://www.pbs.org/teachersource/recommended/math/bk_problemsolving.shtm
Extractions: If you own only one puzzle book, this should be the one. This magnum opus organizes brightly illustrated puzzles under fourteen headings, including geometry, points and lines, graphs and networks, curves and circles, shapes and polygons, patterns, dissections, numbers, logic and probability, topology, science, perception, and a bonus collection. Solutions are provided in a separate section at the back, as well as references and a difficulty index. All puzzles are rated on a scale 1-10, from beginner to challenging.
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Extractions: While not in a fancy layout, this collection of puzzles will keep you thinking for hours with the many types of mind benders to ponder. There are math specific topics like arithmetic, geometry, logic, and probability, but there are also interesting language equations (12 = S of the Z), decisions (Monty Hall type questions), and even the way to win at Hi-Q. Solutions are provided for each type of puzzle. (Solution: 12 Signs of the Zodiac) Award-winning elementary educator Angela Giglio Andrews and Illinois's DuPage Children's Museum offer K-3 students colorful, challenging math problems. Each challenge is presented in the form of a story taken from the life of Aunty Math, her two nephews Barney and Danny, and her niece Gina. Past challenges and parent/teacher tips are archived at the site as well. While this is a commercial site, the math presented in this section is useful and appealing to elementary school students. Children help the characters in the Chocolate Factory solve math problems related to number sense, calculations, geometry, time, measurement, and data handling. The activities have two levels, with helpful suggestions if an answer is incorrect. The activities are tied to the UK Numeracy Strategy. The Jargon Buster serves as the glossary for math terms. The parents section provides ideas of how to help children with math at home.
Science, Math, Analysis See also Science math Calculus (73). This category in other languages advanced Calculus and Analysis. Favorite unsolved problems. http://www.klevze.si/browse/Science/Math/Analysis/
Extractions: Search: Web Directory Daily News PHP Manuals mySQL Manuals ... Svenska Browsing Science, Math, Analysis Category See also: This category in other languages: French German Spanish Lecture notes from the University of Aberdeen for a first course in Analysis.. Notes to meant to accompany Rudin's "Principles of Mathematical Analysis." Detailed enough for self-study, with or without the book.. CCA Net aims to provide a central location for collecting information useful to researchers working in the field.. Research problems section of the journal, edited by Peter Borwein, Albert Cohen, Ingrid Daubechies and Vilmos Totik. Includes problem statement (PostScript) and discussion.. Alexandre Eremenko (Purdue University). Mainly in analysis.. Classical Analysis papers and preprints available in pdf, ps, and abs formats from UC Davis..
Mathematics Courses: Semester System of prime numbers, famous unsolved problems, numbertheoretic equivalent MED 550 Prerequisite math 1113 Use to teach algebra, geometry, advanced algebra, and http://www.math.armstrong.edu/semsys/SemesterCourseDescriptions.html
Extractions: Functional approach to algebra that incorporates the use of appropriate technology. Emphasis will be placed on the study functions and their graphs, inequalities, and linear, quadratic, piecewise-defined, rational, polynomial, exponential, and logarithmic functions. Appropriate applications will be included.
Courant Institute Geometry Seminar on graphs, meshes and chess boards unsolved problems Tel Aviv University Incidences and related problems. Chudnovsky, Institute for advanced Study Triangulated http://www.math.nyu.edu/seminars/geometry_seminar.html
Extractions: New York University The geometry seminar covers a wide range of topics in geometry with particular emphasis on discrete geometry, computational geometry and algorithmic real algebraic geometry. Many of the speakers are Courant Institute visitors and postdocs. A seminar talk may cover original research or report on an interesting paper. The seminar is run by Janos Pach and Richard Pollack The seminar meets on Tuesdays at 6:00 p.m. in room 613 of Warren Weaver Hall at 251 Mercer Street, New York. (Warning: Please note new place and time!) January 27, 2004 Shakhar Smorodinsky, Tel Aviv University and MSRI On conflict-free colorings February 3, 2004 Andrei Raigorodski, Moscow State University On the chromatic numbers of some spaces February 17, 2004 Henry Cohn, Microsoft Research Optimality of the Leech lattice among lattices March 2, 2004 Ileana Streinu
Overview Of Graduate Courses Abelian Varieties; advanced Methods in Combinatorics; Algebraic Combinatorics; Impedance Imaging, and Integral Geometry; unsolved problems in Combinatorics and http://www.math.washington.edu/Grads/Courses/overview.html
Extractions: Overview of Graduate Courses The University of Washington operates on a quarter system. Each quarter consists of approximately ten weeks of classes followed by one week of final exams. Autumn Quarter starts near the end of September, Winter Quarter starts just after New Year's Day, and Spring Quarter starts near the end of March. The academic year ends in early to mid June. There is also a Summer Quarter during which graduate students may take seminars and reading courses, but no formal graduate courses are offered in the summer. Most graduate students take three courses per quarter. First-year Master's students typically begin with two courses at the combined Undergraduate/Graduate level and one entry-level graduate course, while first-year PhD students typically take three entry-level graduate courses. A list of courses being offered during the current academic year can be found on the Courses Web page. The courses available to graduate students can be divided into four categories: Undergraduate/graduate courses These courses are open to both undergraduate and graduate students.