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Free Ebook Mathematical Models
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Mathematical Models
Free Ebook Mathematical Models
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Product details
Paperback: 286 pages
Publisher: Tarquin Publications; 3rd edition (1981)
Language: English
ISBN-10: 0906212200
ISBN-13: 978-0906212202
Product Dimensions:
5.2 x 1 x 8.2 inches
Shipping Weight: 1.1 pounds (View shipping rates and policies)
Average Customer Review:
4.6 out of 5 stars
6 customer reviews
Amazon Best Sellers Rank:
#1,120,540 in Books (See Top 100 in Books)
This title came up as a recommendation when I was searching for Wenninger's books on polyhedra. Those books are available, but rather pricey (over $60); I saw Cundy's book and bought it somewhat impulsively to console myself. What luck! It turns out to be much broader in scope than Wenninger's or other books on polyhedra; Cundy is using the word "model" very broadly to describe any number of concrete objects that can be used to "model" mathematical ideas. He describes (and provides clear diagrams) for making cutout cards to demonstrate geometric theorems; a mechanical device which can be used to demonstrate trigonometric functions; ways of drawing or using string to create conic sections, parabolas; and so on. He goes into tessellations, knot theory, and even describes plane figures by Von Koch and Sierpinski - and this written a couple of decades before Mandelbrot brought these figures to a wider audience and named them "fractals".Cundy's chapter on polyhedra is quite thorough, and though he does give explicit instructions on building models, he is perhaps a little more academic than some readers would like. For a book solely focused on building polyhedral models, I'd recommend the reprinted "Shapes, Space, and Symmetry" by Alan Holden; I've had it for years and have used it to build several beautiful models. But Cundy's book offers the possibility of enjoying a broader range of mathematical ideas in the same concrete way as building polyhedra. Later chapters, for instance, describe ways of building mechanical devices to create complex three-dimensional curves, and the last chapter describes simple electrical circuits that embody principles of Boolean logic, demonstrating in turn the fundamentals of modern computing.The first edition of this book was written in 1951; the second edition in 1961, and this, the third edition, was written in 1981. The language is fairly formal, and one gets the impression that the intended audience was high school or possibly college-level math teachers. If you're in that category, this book will help you tremendously in your work; in fact, it may inspire some of your students to develop, as I have, a lifelong interest in the elegant beauty of mathematics.
This beautiful, wonderful, unique, amazing book fascinated me for many hours when I was young and trying to understand how the world works. It is an old-school British text in style. But it's clear and specific, and contains a huge amount of reference material in addition to the dozens of projects that you can build, many of them requiring only paper, scissors, and glue. From polyhedra to pentominoes, from hexaflexagons to linear linkages, the range is mind-boggling. Many of the models built by the authors used to be in The Science Museum in London; maybe they still are. Truly an amazing piece of work.
What's most incredible about this book is the vast number and variety of topics that are covered, everything from Galton boards (statistics modeling) to linkages (automatic drawing of implicitly defined curves) to primitive computers. There is a gem on every page, and I don't think anyone could do all of these projects in a lifetime! My favorite are the linkages.
Good reference
Though somewhat technical the book is extremely useful. It was in excellent condition and quickly sent.
The fact that this book is in it's third edition and its 14th printing speaks for it's self. It is one of the best general textbooks ever written on the subject of mathimatical models. Best of all it is written at Highschool level so that anyone can read and understand it.
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