8 math talks to blow your mind
Mathematics gets down to work in these talks, breathing life and logic into everyday problems. Prepare for math puzzlers both solved and unsolvable, and even some still waiting for solutions. Ron Eglash: The fractals at the heart of African designs When Ron Eglash first saw an aerial photo of an African village, he couldn’t rest until he knew — were the fractals in the layout of the village a coincidence, or were the forces of mathematics and culture colliding in unexpected ways? Here, he tells of his travels around the continent in search of an answer. How big is infinity? Arthur Benjamin does “Mathemagic” A whole team of calculators is no match for Arthur Benjamin, as he does astounding mental math in the blink of an eye. Scott Rickard: The beautiful math behind the ugliest music What makes a piece of music beautiful? Benoit Mandelbrot: Fractals and the art of roughness The world is based on roughness, explains legendary mathematician Benoit Mandelbrot.
Beezer in a Box | Life at the intersection of mathematics, teaching and open licenses
This is the first of two introductory posts about my project supported by my Shuttleworth Flash Grant. Rationale and motivation here, vague/concrete plan next. Mathematics or not, I am convinced of the value of capturing scholarly documents in a structured form. If you wish to have a variety of outputs for your writing, such as print, PDF, HTML web pages, and e-books, then it is a must. Consider two very different scenarios. Second, suppose you write in LaTeX. XML (eXtensible Markup Language) is an extremely simple language for describing the structure of text. Case in point. So I see real utility in creating an XML application for authors of writings about mathematics, with a special interest to allow writing about compuational tools, specifically Sage.
Khan Academy
Hack-the-Book | Beezer in a Box
On Monday night (October 29) about 20 UPS students took me up on the offer to help crowd-source editing the latest version of my linear algebra textbook. I have converted my LaTeX source to XML (more on that later) and despite making the conversion highly automated there are still errors in the resulting HTML version. My Math 290 students have been champions at rooting out the errors. I plan to make a physical hardcover print edition, so I want to make it as error-free as possible before committing to print copies! Student Copy Editors Most students stayed for an hour or two and in total we covered about two-thirds of the sections, with some receiving two looks.
History of Maths
A First Course in Linear Algebra (A Free Textbook)
Reviews “Robert Beezer's free textbook, A First Course in Linear Algebra (FCLA), is an excellent textbook. FCLA includes all of the major and requisite topics plus a nice selection of optional topics, and Beezer's style of writing is friendly and enlightening.” Mike Daven, Mount Saint Mary College Tanya Leise, Amherst College Daven and Leise's full review at theMathematical Association of America'sMathDL digital library “Instructors who wish to teach a pure linear algebra course that emphasizes rigor and formal mathematics will be able to make good use of this material and feel secure in the knowledge that the book is not going to go out of print. David Watkins, Washington State University Watkin's full review from SIAM ReviewDecember 2007, Volume 49, p. 726-727 “An excellent book written by an experienced teacher. David Joyner, US Naval Academy, Annapolis Joyner's full review, one of fiveat The Open Textbook Catalog Bernard Russo, University of California, Irvine Jane Long, Stephen F.
List of unsolved problems in statistics
Inference and testing[edit] How to detect and correct for systematic errors, especially in sciences where random errors are large (a situation Tukey termed uncomfortable science).The Graybill–Deal estimator is often used to estimate the common mean of two normal populations with unknown and possibly unequal variances. Though this estimator is generally unbiased, its admissibility remains to be shown.[3]Meta-analysis: Though independent p-values can be combined using Fisher's method, techniques are still being developed to handle the case of dependent p-values.Behrens–Fisher problem: Yuri Linnik showed in 1966 that there is no uniformly most powerful test for the difference of two means when the variances are unknown and possibly unequal. That is, there is no exact test (meaning that, if the means are in fact equal, one that rejects the null hypothesis with probability exactly α) that is also the most powerful for all values of the variances (which are thus nuisance parameters).
A First Course in Linear Algebra (A Free Textbook)
Course Adoption This page is designed to provide some information for the instructor considering using the book as a required text for a course. First is detailed information about some of the logistics of using the book in your own course, followed by a list of courses that use the book. FAQ: Versions and Costs If you plan to use the book for your course, here are some answers to some common questions. The online version is very easy to navigate, free, and available anywhere with an internet connection. A 524-page hardcover physical copy of the book may be purchased from many online retailers for as little as $33 (current as of 2013/08/17). I sometimes prefer to teach out of the very latest edition so I can track typos and changes, so I arrange a group purchase for my students at a copy shop. I try to release a fairly stable and error-free version right before the start of the fall and spring semesters. Courses Using FCLA
A First Course in Linear Algebra (A Free Textbook)
The Museum Old versions of a A First Course in Linear Algebra are preserved here as a public service. Nothing here is supported in any way. Version 3.00 and Later (2012-present) Version 2.99 and Earlier (2004-2012) SRC = Source Tarball Electric = Electronic Version, PDF for onscreen viewing 4:3 = Screen 16:9 = Widescreen Kindle = PDF for Amazon's Kindle DX SONY = PDF for SONY Reader (PRS-500, PRS-505) Flash = Flashcards, printable ATS = Archetype Summary, printable US:2= US Paper, 2-Sided, printable US:1 = US Paper, 1-Sided, printable A4:2 = A4 Paper, 2-Sided, printable A4:1 = A4 Paper, 1-Sided, printable XML = Tarball, XML/MathML for local viewing Museum - Old Online Editions These XHTML and jsMath versions of the book have been superseded by the new online edition.
A First Course in Linear Algebra (A Free Textbook)
