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Maurice G. Kendall

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.

Print length

80 pages
Language:

English
Publisher

Dover Publications
Publication date

July 15, 2004
Dimensions

5.25 x 0.25 x 8.5 inches
ISBN-10

0486439275
ISBN-13

978-0486439273
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Product details

Publisher : Dover Publications; Dover Ed edition (July 15, 2004)
Language: : English
Paperback : 80 pages
ISBN-10 : 0486439275
ISBN-13 : 978-0486439273
Item Weight : 4 ounces
Dimensions : 5.25 x 0.25 x 8.5 inches

Best Sellers Rank: #783,436 in Books (See Top 100 in Books)
- #74 in Analytic Geometry (Books)
- #2,063 in Probability & Statistics (Books)

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3 ratings

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Five Stars

Reviewed in the United States on December 31, 2014

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Wonderful minibook.

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topoman

Very elementary level text

Reviewed in the United States on November 24, 2005

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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Top reviews from other countries

Otto Scroggs

Old-fashioned, and the scope far too limited for modern demands

Reviewed in the United Kingdom on January 8, 2014