Ebook/MathBetterExplained.Preview.pdf. Quick Reference Guide. Math247.pbworks.com. Almost a Reuleaux, real Reuleaux and 3D Reuleaux. I saw this Nokia trinket on a colleague's cellphone.
It's close to a Reuleaux triangle, but not quite. Darn! A missed opportunit from the folks at Nokia. A Reuleaux triangle is a shape with constant width. If you roll it, you can set a board on top of it and the board will not bob up and down, it will stay at the same height just as if the roller were circular. You can make these with 5, 7, 9 or any odd number of segments by constructing arcs on regular polygons.
Another Look at Prime Numbers. Primes are numeric celebrities: they're used in movies, security codes, puzzles, and are even the subject of forlorn looks from university professors.
But mathematicians delight in finding the first 20 billion primes, rather than giving simple examples of why primes are useful and how they relate to what we know. Somebody else can discover the "largest prime" -- today let's share intuitive insights about why primes rock: Primes are building blocks of all numbers. And just like in chemistry, knowing the chemical structure of a material helps understand and predict its properties.Primes have special properties like being difficult to determine (yes, even being difficult can be a positive trait). These properties have applications in cryptography, cycles, and seeing how other numbers multiply together.
So what are prime numbers again? Web.princeton.edu/sites/sigmaxi/MelanieWoodLecture.pdf. Shawna Haider's Home Page. Free support for U.S. Department of Labor TAACCCT grantees. Mathematics Resource Center. Free Linear Algebra textbook. A Free text, with complete solutions, 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.
It is Free. You can use it as a main text, as a supplement, or for independent study. Highlights The coverage is standard: linear systems and Gauss' method, vector spaces, linear maps and matrices, determinants, and eigenvectors and eigenvalues. Here Is Linear Algebra Click to download the latest version of Linear Algebra and the answers to exercises. If you prefer a paper copy then you can buy an official one from a number of Internet sources, including Amazon; the price there is $20. You may also be interested in beamer slides for classroom presentation which draw from the text source but use different examples, and omit some proofs in favor of examples.
Material of less general interest. If you want the prior version. Additional material. Free Proofs textbook. A Free text for a course on proofs Jim Hefferon Mathematics Department, Saint Michael's College jhefferon at smcvt.edu Introduction to Proofs is a Free undergraduate text.
It is Inquiry-Based, sometimes called the Discovery Method, or the Moore Method. Highlights Inquiry-based The text consists of a sequence of exercises, statements for students to prove, along with a few definitions and remarks. Here is Introduction to Proofs Click to download Introduction to Proofs. There are beamer slides covering enough logic to get students started. What is "inquiry-based"? Linear.ups.edu/html/fcla.html.
American Inst. of Mathematics. The American Institute of Mathematics (AIM) seeks to encourage the adoption of open source and open access mathematics textbooks.
The AIM Editorial Board has developed evaluation criteria to identify the books that are suitable for use in traditional university courses. The Editorial Board maintains a list of Approved Textbooks which have been judged to meet these criteria. Approved Textbooks The list is organized by courses ranging from pre-calculus to upper division analysis and algebra. Each book has a brief description of its important features and information about how to get it.Evaluation Criteria There are a number of features that the Editorial Board considers in evaluating textbooks.Editorial Board The AIM Editorial Board develops the criteria for acceptance and reviews open textbooks.
Questions or comments to textbooks@aimath.org.
GoldenTriangles Animation. Discovering the Art of Mathematics (DAoM) In our classrooms we create an environment where students are active participants in authentic mathematical experiences in which proof plays a natural and essential role.
In this setting students begin to see proof as a key component of sense-making, as an extension of narrative and rhetorical structure that is fundamental to human communication, and as a complement to how we come to know and understand things in other areas of study. We describe this approach in a full-length paper, have blog posts describing our use of this approach, have examples of student proofs, and classroom videos all listed below.
Discovering the Art of Mathematics – Proof as Sense-Making by Julian Fleron, Christine von Renesse & Volker Ecke We describe a model for Mathematics for Liberals Arts courses where students are active participants in an authentic mathematical experience in which proof plays a natural and essential role. Download Full Text » Mathematics & Dance Proofs Read Blog Post » Proofs Read Blog Post » Video Lectures.