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Description
Uses computer-rendered models to illustrate five essential topics in mathematics. These include how the Golden Ratio is calculated and applied, the ratio of similitude and how it relates to the Pythagorean Theorem and fractals, defining pi, Hippocratic crescents, and cylindrical and conic sections--container.
4) Measurement
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Description
Explains how math should be done. With plain English and pictures, he makes complex ideas about shape and motion intuitive and graspable, and offers a solution to math phobia by introducing us to math as an artful way of thinking and living.
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For mathematicians or others who wish to keep up to date with the state of the art of geometrical problems, this collection of problems that are easy to state and understand but are as yet unsolved covers a wide variety of topics including convex sets, polyhedra, packing and covering, tiling, and combinatorial problems. Annotation copyrighted by Book News, Inc., Portland, OR.
Description
Many students think that math has no practical use, when in fact, math influences us in every way. Though we may not realize it, our daily lives are crammed full of objects designed with precise geometric shapes. Find out why objects have the shape they do, the many practical uses of Geometry, and Geometry's role in explaining the universe. Also find out about some common shapes are their functions: The circle, the sphere, the cylinder, the cone,...
Description
This documentary follows the life and times of geometer Donald Coxeter on his journey to the last geometry conference he would attend: to Budapest in the summer of 2002, when he was 95 years old. There Coxeter delivered the opening address, offering a new and elegant proof for a theorem about "four mutually tangent circles," a subject which finds application in data-mining technology. Coxeter is widely regarded as the man who kept geometry alive in...
Description
Many students think that math has no practical use, when in fact math influences us in every way. Though we may not realize it, our daily lives are crammed full of objects designed with precise geometric shapes. Find out why objects have the shape they do, the many practical uses of geometry, and geometry’s role in explaining the universe. Also find out about some common shapes are their functions: the circle, the sphere, the cylinder, the cone,...
Description
Welcome to the fabulous world of the coordinate plane! You'll learn how to plot ordered pairs, become familiarized with quadrants, and meet the x- and y-axis. These handy rules will make working with planes a breeze. Topics include: Coordinate Geometry Basics, The Midpoint Formula, The Distance Formula, Slope, Graphing Translations, and Sketching Solids.
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Description
"The projective, Mobius, Laguerre, and Minkowski planes over the real numbers are just a few examples of a host of fundamental classical topological geometries on surfaces that satisfy an axiom of joining. This book summarises all known major results and open problems related to these classical geometries and their close (non-classical) relatives." "Topics covered include: classical geometries; methods for constructing non-classical geometries; classifications...
18) Geometry basics
Description
This program presents the building blocks that every student of geometry needs to understand. Topics addressed include inductive and deductive reasoning; terminology such as points, lines, planes, and space; six core postulates; five essential theorems; and how to express theorems in their statement, converse, inverse, contrapositive, and biconditional forms.
Description
Dazzling computer animation combined with the genius of Benoit Mandelbrot and Edward Lorenz present a captivating discussion of fractals and the fundamental concepts of fractal geometry-self-similarity and chaos. Mandelbrot uses a simple head of broccoli to demonstrate the complexity of fractals. Narrating over the three-dimensional animations, Mandelbrot discusses how fractals serve as an excellent model of irregular natural forms, such as coastlines,...
Description
Is the converse of a right triangle a wrong triangle? This program sets the record straight, using the CPCTC definition-Corresponding Parts of Congruent Triangles are Congruent-and right triangles to prove congruency of diverse elements of parallelograms and isosceles triangles. The Angle-Angle-Side and Hypotenuse-Leg Theorems are also presented.
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