File Name: euclidean and non euclidean geometriedevelopment and hi tory .zip
This is the definitive presentation of the history, development and philosophical significance of non-Euclidean geometry as well as of the rigorous foundations for it and for elementary Euclidean geometry, essentially according to Hilbert. Appropriate for liberal arts students, prospective high school teachers, math.
Good expository introductions to non-Euclidean geometry in book form are easy to obtain, with a fairly small investment. There are also three instructional modules inserted as PDF files; they can be used in the classroom. Building a good hunting bow and getting the best arrows for it surely involved some intuitive appreciation of space, direction, distance, and kinematics. Similarly, delimitating enclosures, building shelters, and accommodating small hierarchical or egalitarian communities must have presupposed an appreciation for the notions of center, equidistance, length, area, volume, straightness. We are not always well served by the millennia-long mathematical acculturation that pervades even our best available instruction in school geometry.
Sapling can only be accessed if your instructor has set up a course at your University. Please only buy this code if your instructor has an active Sapling course. This product should only be purchased by International students at University of Illinois. Marvin J. Recommend to library. Paperback - Ebook -
E-MAIL: gardnerr etsu. These are the notes we will cover in class, and all homework problems can be solved using only the information in the notes. We will cover three main topics: Euclidean geometry, hyperbolic geometry, and elliptic geometry. This is our main reference. This was my 10th grade high school geometry book. I've had a fascination with geometry since my first exposure in 10th grade
The Basic Library List Committee strongly recommends this book for acquisition by undergraduate mathematics libraries. Not many books can be regarded as both a serious work of history and a mathematics textbook, but this is certainly one of them. In fact, since the first edition in , the book has grown incrementally through three subsequent editions, so that this latest version pp is more than twice the length of the first pp and it is pages longer than the third edition. Moreover, the version was one of the earliest publications to reflect the current belief that any aspect of mathematics can be effectively taught in a way that illustrates its historical development. And yet, although its basic structure remains unaltered, the innovative aspects of this 4 th edition are so extensive as to require a six-page summary in the preface; but there is no change in the suggested readership, which is modestly described as consisting of the following groups:.
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