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Quaternions and Rotation Sequences: A Primer with Applications to Orbits, Aerospace and Virtual Reality (Hardcover)

by J.B. Kuipers (Author) "Mathematics, as with most subjects in science and engineering, has a long and varied history ..." (more)

5.0 out of 5 stars See all reviews (2 customer reviews)

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Product details

Hardcover: 384 pages
Publisher: Princeton University Press (14 Jan 1999)
Language English
ISBN-10: 0691058725
ISBN-13: 978-0691058726
Product Dimensions: 26.1 x 19.8 x 3.4 cm

Average Customer Review: 5.0 out of 5 stars See all reviews (2 customer reviews)

Amazon.co.uk Sales Rank: 2,983,480 in Books (See Bestsellers in Books)

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Product Description

Review
The text is written in a clear and readable style well suited for students wishing to master fundamental quaternion concepts.

Product Description
Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the 19th century - a feat he celebrated by carving the founding equations into a stone bridge - mathematicians and engineers have been fascinated by these mathematical objects. They are used in applications as various as describing the geometry of space-time, guiding the Space Shuttle, and developing computer applications in virtual reality. In this book, J.B. Kuipers introduces quaternions for scientists and engineers who have not encountered them before and shows how they can be used in a variety of practical situations.

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Mathematics, as with most subjects in science and engineering, has a long and varied history. Read the first page

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8 of 8 people found the following review helpful:

5.0 out of 5 stars Excellent content; supremely well-written!, 12 Aug 1999

By A Customer

This book is one of the most understandable and down-to-earth mathematics texts I've ever read. For instance, after presenting a new concept, he'll summarize it again in the sideline of the book every time he refers to it for the next twenty pages or so. At first, I was finding myself getting annoyed, and thinking, "What, does he think I'm stupid?"

Then I considered the alternative, the terse style of so many mathematical texts that has me regularly flipping between eight different pages trying to put everything together. I stopped complaining and started appreciating Kuipers' approach.

Kuipers does assume a certain amount of familiarity with mathematics, but not any knowledge in particular, as he reviews basic matrix multiplication and the like at the beginning of the book.

For a topic that can seem daunting (our artist always makes fun of me using seemingly gratuitous big phrases like "spherically interpolated quaternion splines") this book makes it very understandable. If you need to work with computational rotation, for a flight sim, robotics visualization, or (most importantly) for a computer game, I can't recommend this book highly enough!

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1 of 1 people found the following review helpful:

5.0 out of 5 stars Good starter, 6 Aug 2004

By	the greasy_bear "g_b" (moon, london, england) - See all my reviews

I picked this book up as quaternions are used for rotational sequences in computer graphics, but found it covers much more. You will need a good mathematical grounding before reading it, at least to A-level but no knowlege of linear algebra or any geometries.
An exceptional introduction in which the complex plane is introduced in perhaps one of the most cleanest descriptions of the theory I have seen. The later chapters build on this, and it all comes together quite nicely.
Whatever application you decide to use the text for, chances are it covers it in some way. A very good book, and highly recommended.

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