Slide-Together Geometric Constructions
This is a web version of a teacher's workshop presented at Bridges 2004Appeared in: Bridges for Teachers, Teachers for Bridges, 2004 Workshop Book, Mara Alagic and Reza Sarhangi eds., pp. 31-42. “Slide-Together” Geometric Paper Constructions George W. Hart Computer Science Dept. Stony Brook University george@georgehart.com Abstract Seven paper construction projects provide students with experience exploring properties and relationships of two-dimensional and three-dimensional geometric figures. “Slide-togethers” based on squares, triangles, pentagons, and decagons Introduction This activity consists of seven attractive constructions which are fun and relatively easy to make because one simply cuts out paper pieces and slides them together. Each “slide-together” is made from identical copies of a single type of regular polygon (e.g., just squares or just triangles) with slits cut at the proper locations. “Slide-togethers” based on hexagons, decagrams, and pentagrams
O'Reilly Open Books Project
O'Reilly has published a number of Open Books--books with various forms of "open" copyright--over the years. The reasons for "opening" copyright, as well as the specific license agreements under which they are opened, are as varied as our authors. Perhaps a book was outdated enough to be put out of print, yet some people still needed the information it covered. Or the author or subject of a book felt strongly that it should be published under a particular open copyright. Maybe the book was written collectively by a particular community, as in the case of our Community Press books. But there's more to making Open Books available online than simply adopting an open license or giving up rights granted under copyright law. We're happy to have partnered with two innovative nonprofits, Creative Commons and the Internet Archive, to solve the licensing and digitizing challenges involved in bringing Open Books to readers. Donate to Creative Commons and the Internet Archive:
Free Linear Algebra textbook
A Free text for a standard US undergraduate course Jim Hefferon Mathematics Department, Saint Michael's College jhefferon at smcvt.edu Linear Algebra is a text for a first US undergraduate Linear Algebra course. You can use it as a main text, as a supplement, or for independent study. It is Free. Highlights The coverage is standard: linear systems and Gauss's method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues. Download Linear Algebra Here is the current version of Linear Algebra and its answers to exercises. If you prefer a paper copy then you can buy an official one using ISBN-13: 978-0989897563 from a number of sources, including Amazon; the price there is $20. If you are a teacher then have a look at the beamer slides for classroom presentation. There is also a lab manual that supplements the text material using Sage. Covering it all You could also get the book's cover and a PDF of the book's printed version, if for some reason you are keen.
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.
Harmonograph
A harmonograph output A harmonograph is a mechanical apparatus that employs pendulums to create a geometric image. The drawings created typically are Lissajous curves, or related drawings of greater complexity. The devices, which began to appear in the mid-19th century and peaked in popularity in the 1890s, cannot be conclusively attributed to a single person, although Hugh Blackburn, a professor of mathematics at the University of Glasgow, is commonly believed to be the official inventor.[1] A simple, so-called "lateral" harmonograph uses two pendulums to control the movement of a pen relative to a drawing surface. One pendulum moves the pen back and forth along one axis and the other pendulum moves the drawing surface back and forth along a perpendicular axis. A particular type of harmonograph, a pintograph, is based on the relative motion of two rotating disks, as illustrated in the links below. Computer-generated harmonograph figure[edit] in which represents frequency, represent phase,
Wikibooks
Video Lectures | Linear Algebra | Mathematics | MIT OpenCourseWare
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.
George W. Hart --- Index
The Online Books Page
Spring 2014
Videos may be found on the MIT Open Course Ware (OCW) website: Many people watch the lecture videos on YouTube: Lectures by Gil Strang: MIT 18.06 (Spring 2005) on YouTube - scroll to bottom of this page for overview of videos by topic. You may find the lectures more exciting when you watch them at 1.5x or 2x the normal speed (keeping the pitch of your voice constant). It is good for a quick review too. (The VLC player can be used for speeding up YouTube videos too: Simply paste the URL into VLC) YOUTUBE VIDEOS BY TOPIC OF LECTURE (easier to navigate than YouTube list):
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.
The KnotPlot Site
Project Gutenberg - free ebooks
