Basic Definitions To prove this fact we need Liouville s Theorem, but to get started using complex numbers all we need are the following basic rules. Rules of Complex arithmetic. http://www.sosmath.com/complex/number/basic/soscv.html
Extractions: It is an amazing fact that by adjoining the imaginary unit i to the real numbers we obtain a complete number field called `` The Complex Numbers." In this amazing number field every algebraic equation in z with complex coefficients has a solution. To prove this fact we need Liouville's Theorem, but to get started using complex numbers all we need are the following basic rules. Every complex number has the ``Standard Form'' for some real a and b For real a and b Click on EXERCISES for some practice using these rules. Notice that rules 4 and 5 state that we can't get out of the complex numbers by adding (or subtracting) or multiplying two complex numbers together. What about dividing one complex number by another? Is the result another complex number? Let's ask the question in another way. If you are given four real numbers a b c and d , can you find two other real numbers x and y so that As an exercise in using rules 1 through 5, multiply both sides of the above equation by c di and then solve for x and y to prove that the answer to our question is yes.( Click on
(UK) Nottingham University Number Theory and arithmetic Geometry research group. Research interests, members, visitors, meetings. http://www.maths.nott.ac.uk/personal/ibf/ntag.html
Extractions: The group welcomes applications from potential PhD students. Successful applicants will be made an offer of a PhD place by the university. The funding opportunities for EU students include a postgraduate studentship (usually for three years) from EPSRC, which covers all university fees and (for UK students only) a maintenance grant. Alternatively, the school will help with applying to EU Marie Curie Fellowship which can provide support up to three years. In very strong cases, University Scholarships are available to successful candidates. With its large group of researchers working in a spread of related fields within Number Theory and Arithmetic Geometry, Nottingham is a most attractive place for PhD study. Currently the number theory group in Nottingham is the largest in the UK. Students who are at first not sure exactly in which area they wish to work can experience a wide variety of research topics before deciding, and always have the possibility of moving between supervisors. For further details see PhD study in Number Theory and Arithmetic Geometry in Nottingham
The Number Gym 3 sets of fun activities for 711 year olds to improve their mental arithmetic skills. http://numbergym.co.uk/
Fraction Calculator And Cheat Calculator that performs the basic arithmetic operations on fractions and then at the press of a button gives you a detailed explanation of how the computation was done. http://www.bacsoftware.co.uk/fcalc1/
Extractions: Click for full size Algebra Cheat 1 Learn more about fractions by clicking on one of the links below. If the links below do not tell you what you want to know about fractions then why not ask the Fractions Expert ask the Fractions Expert . The Fractions expert has an honours degree in mathematics and is happy to help you understand fractions.
Arithmetic Geometry arithmetic Geometry. First COEConference, February 16-20, 2004 Department of Mathematical Sciences, University of Tokyo. ENTER. Main Topics. http://www.ms.u-tokyo.ac.jp/~t-saito/conf/ag/ag.html
Stunning Friends With Math Magic A collection of card tricks, number guessing games, paper and glue magic, and other math exercises. http://www.cut-the-knot.com/arithmetic/rapid/magic.shtml
IEEE 754 IEEE standard 754 for binary floatingpoint arithmetic. WWW, news, mailing lists. Numeric-interest mailing list page - validgh; comp.arch.arithmetic. http://cch.loria.fr/documentation/IEEE754/
Extractions: IEEE 754-1985 governs binary floating-point arithmetic. It specifies number formats, basic operations, conversions, and exceptional conditions. The related standard IEEE 854-1987 generalizes 754 to cover decimal arithmetic as well as binary. Note that materials provided on this page and sub-pages are not approved as IEEE standards. The two current, approved standards are and . The materials provided through this page are purely informative. Arithmatica directions Check list for conference call information. More... The standard is undergoing revision . Participation is open to people with a solid knowledge of floating-point arithmetic. We hold monthly meetings in the San Francisco Bay area. The mailing list tracks running discussions. Some answers to frequently asked questions are available. A large amount of material , online and dead-tree, has accumulated over the years. The earlier publications provide rationale for the current standard, IEEE 754-1985. Good, on-line works include the following:
Jeff Vitter's Recent Papers Chair of CS department at Duke. Interests include dynamic Huffman codes, arithmetic coding, lossless image compression, and motion compensation for video coding. http://www.cs.duke.edu/~jsv/Papers/catalog/
Extractions: Purdue University This file is an index to an online catalog of several of my recent papers and in some cases the overhead transparencies for talks. Most of the papers and talks deal with the design and analysis of algorithms and data structures. They are grouped according to specific topic area, roughly in chronological order. The first section lists some general papers, such as my survey on external memory algorithms and data structures and my book Efficient Algorithms for MPEG Video Compression Click on whatever titles or topic areas interest you to get the papers you want. Some papers are listed in more than one topic area. For example, papers on I/O-efficient algorithms for geometric problems are listed in both the External Memory Algorithms section and the Computational Geometry section. I encourage you to copy and distribute any of these papers for any noncommercial use, at no charge to anyone. However, if any money (beyond the actual cost of reproduction) is going to change hands, you need my written permission first. My publications are stored in both gzip-compressed postscript format and in Adobe pdf format. Most web browsers (at least on UNIX machines) will display these formats automatically. If your browser doesn't, you may need to download the image tool
Extractions: University of Sydney , Australia Description: An informal workshop, concentrating on computational arithmetic geometry and related topics. It is intended to have a relaxed schedule of talks, with ample time and opportunity for informal discussion. Programme: A preliminary programme is now available. There is also a list of abstracts On Friday, June 20, 2pm, the workshop features the Mahler Lecture 2003: Galois Theory and Primality Testing Hendrik Lenstra Jr. (AustMS Kurt Mahler Lecturer 2003) Registration: Registration is required for participants and is free. To register, contact the organizer, preferably by email. Web page: http://magma.maths.usyd.edu.au/~bruin/Workshop Poster: A poster is available in A4 format, both in postscript and in PDF format. Feel free to download and print the poster and put it on the notice board of your department. Organizer: Nils Bruin
Venjakob, Otmar Universit¤t Heidelberg. Iwasawa theory of padic Lie extensions; arithmetic of elliptic curves, Selmer groups of abelian varieties, structure of profinite (or pro-p) groups. http://www.rzuser.uni-heidelberg.de/~gy8/agwingberg/venjakob.html
Welcome To Math Path Basic Arithmetic Course. System for teaching children basic arithmetic at home, geared toward parents with no special skills or experience. Includes philosophy of teaching math and ordering information. http://www.mathpath.com
Extractions: system for teaching basic arithmetic to k-3 children. Brendan likes math! "Brendan is in kinder- garten this year (he is homeschooled) and your Math Path has become an integral part of our daily activities. It seems to be just what we needed! Thank you for your product and your genuine concern for teaching children their math facts. It is so Important, and your product is so simple and to the point." Counting to 100 by 1's, 2's, 5's, and 10's This is an array of 100 circles, organized for easy counting by 1's, 2's, 5's, and 10's. Go slow on this. Don't ask a child who's not comfortable counting to 20 to extend her reach to 100 in one or two sessions. Keep it in the comfort zone. Try to maintain a steady cadence. To download, just go to the page and click on 'Print,' either on the toolbar or in the 'File' menu. Click here.
Extractions: The Egyptian Zero Egyptian Counting Addition Subtraction ... Egyptian Fractions EYPTIAN COUNTING WITH HEIROGLYPHS These are the basic glyphs (symbols) used in Egypt for counting over 4000 years ago: Writing an integer consists of writing the number (from to 9) of the proper symbols to represent the integer. Thus, There is also a glyph which can translated as "equals" and a compact way of writing large glyphs, as shown below on the right, for two ways 35:
Extractions: Random Matrix Approaches in Number Theory Draft Programme Participants One of the main objectives of quantum chaos is the understanding of how the ergodic properties of classical Hamiltonian systems affect the behaviour of the eigenfunctions and spectra of the corresponding quantum mechanics in the semiclassical limit. Some of the main open problems concern the equidistribution of all eigenstates in phase space (quantum unique ergodicity) and the statistical distributions of the energy levels. The workshop will focus on the study of quantum systems in a natural number-theoretic setting, which have provided ground for the most recent advances towards the solutions of many outstanding problems in quantum chaos. N Anantharaman ( Lyon ), E Bogomolny* (
Fundamental Theorem Of Arithmetic (PRIME) The Fundamental Theorem of arithmetic, from the Platonic Realms Interactive Math Encyclopedia. The Fundamental Theorem of arithmetic. http://www.mathacademy.com/pr/prime/articles/fta/index.asp
Extractions: et us begin by noticing that, in a certain sense, there are two kinds of natural number : composite numbers, and prime numbers. Composite numbers are numbers we get by multiplying together other numbers. For example, We say that 2 and 3 are factors of 6 (or, equivalently, that they are divisors of 6). Some numbers, however, have no factors other than themselves and one. Such numbers are called prime , and there are infinitely many of these.
Extractions: Tigger Math is software for use by elementary school children. Tigger asks basic arithmetic questions. Choose from addition, subtraction, multiplication, division or mixed questions. Choose how many to ask, whether or not to time the quiz, and number range for each question type. You may also print worksheets. Quiz results are saved in a database for future browsing/printing. Features: Choose from addition, subtraction, multiplication, division or mixed question quiz types. Quiz may be timed or untimed. User may set the low and high number range for each quiz type, from 1 to 999. As the student progresses, the questions can become harder. Print worksheets