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A Course in the Geometry of n Dimensions (Dover Books on Mathematics) Paperback – July 15, 2004

by M. G. Kendall (Author)

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This text for undergraduate students provides a foundation for resolving proofs dependent on n-dimensional systems. The author takes a concise approach, setting out that part of the subject with statistical applications and briefly sketching them. The two-part treatment begins with simple figures in n dimensions and advances to examinations of the contents of hyperspheres, hyperellipsoids, hyperprisms, parallelotopes, hyperpyramids, and simplexes. The second part explores the mean in rectangular variation, the correlation coefficient in bivariate normal variation, Wishart’s distribution, correlations as angles, regression and multiple correlation, canonical correlations, and component analysis. 1961 edition.

A Course in the Geometry of n Dimensions (Dover Books on Mathematics)

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Product Details

Series: Dover Books on Mathematics
Paperback: 80 pages
Publisher: Dover Publications; Dover Ed edition (July 15, 2004)
Language: English
ISBN-10: 0486439275
ISBN-13: 978-0486439273
Product Dimensions: 8.5 x 5.4 x 0.3 inches
Shipping Weight: 4 ounces (View shipping rates and policies)
Average Customer Review: 4.0 out of 5 stars See all reviews (2 customer reviews)
Amazon Best Sellers Rank: #2,371,551 in Books (See Top 100 in Books)
- #264 in Books > Science & Math > Mathematics > Geometry & Topology > Analytic Geometry
- #7549 in Books > Science & Math > Mathematics > Applied > Probability & Statistics

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12 of 12 people found the following review helpful

Very elementary level text

By topoman on November 24, 2005

Format: Paperback

This text was written to give a rapid introduction to the topic to statistics students who are having conceptual difficulties with the idea of more than 3 spacelike dimensions. The idea of using geometric intuition to explain the interaction of multiple variables has been very fruitful in dimensions up to 3 and can be as extended as fruitfully to collections of more than 3 variables, if the reader can first get over the intellectual hurdle that says that geometry has to have some physical referrent. This book does a very good job on that account. It doesn't go very deeply into any aspect of the topic. Prerequisites are Calculus of several variables (partial derivatives), a first course in linear algebra and high school geometry.
A prospective reader who wants a deep understanding of the subject should really read Sommerville's An introduction to the geometry of n dimensions instead. Please note that Sommerville expects a higher level of knowlege of geometry and analysis than does Kendall.

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0 of 1 people found the following review helpful

Five Stars

By JF on December 31, 2014

Format: Paperback Verified Purchase

Wonderful minibook.

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