Quaternions for Computer Graphics

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9780857297594: Quaternions for Computer Graphics

Sir William Rowan Hamilton was a genius, and will be remembered for his significant contributions to physics and mathematics. The Hamiltonian, which is used in quantum physics to describe the total energy of a system, would have been a major achievement for anyone, but Hamilton also invented quaternions, which paved the way for modern vector analysis.

Quaternions are one of the most documented inventions in the history of mathematics, and this book is about their invention, and how they are used to rotate vectors about an arbitrary axis. Apart from introducing the reader to the features of quaternions and their associated algebra, the book provides valuable historical facts that bring the subject alive.

Quaternions for Computer Graphics introduces the reader to quaternion algebra by describing concepts of sets, groups, fields and rings. It also includes chapters on imaginary quantities, complex numbers and the complex plane, which are essential to understanding quaternions. The book contains many illustrations and worked examples, which make it essential reading for students, academics, researchers and professional practitioners.

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“The goal of this book is to demonstrate the use of quaternions for rotating objects in three-dimensional space, a frequent requirement in computer graphics. The target audience is computer graphics developers ... . Brief historical notes appear throughout. ... Summing Up:  ... . Upper-division undergraduates through professionals/practitioners.” (C. A. Gorini, Choice, Vol. 49 (8), April, 2012)

“This is a neat little book on real and complex numbers as well as quaternions. ... book is devoted to the algebra of numbers and the rest covers quaternions. The section on quaternion is spiced up with their application to 3-D rotation. Pedagogically the book is well written, it is easy to follow, even a good high school student would be able to understand ... . If you are a bookworm or a book collector and like mathematical plums, this is the book for you.” (Leslie P. Piegl, Zentralblatt MATH, Vol. 1233, 2012)

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1.

John Vince
Editorial: Springer London Ltd, United Kingdom (2011)
ISBN 10: 0857297597 ISBN 13: 9780857297594
Nuevos Tapa dura Cantidad: 1
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Descripción Springer London Ltd, United Kingdom, 2011. Hardback. Estado de conservación: New. 2011 ed.. Language: English . Brand New Book. Sir William Rowan Hamilton was a genius, and will be remembered for his significant contributions to physics and mathematics. The Hamiltonian, which is used in quantum physics to describe the total energy of a system, would have been a major achievement for anyone, but Hamilton also invented quaternions, which paved the way for modern vector analysis. Quaternions are one of the most documented inventions in the history of mathematics, and this book is about their invention, and how they are used to rotate vectors about an arbitrary axis. Apart from introducing the reader to the features of quaternions and their associated algebra, the book provides valuable historical facts that bring the subject alive. Quaternions for Computer Graphics introduces the reader to quaternion algebra by describing concepts of sets, groups, fields and rings. It also includes chapters on imaginary quantities, complex numbers and the complex plane, which are essential to understanding quaternions. The book contains many illustrations and worked examples, which make it essential reading for students, academics, researchers and professional practitioners. Nº de ref. de la librería AAZ9780857297594

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John Vince
Editorial: Springer London Ltd, United Kingdom (2011)
ISBN 10: 0857297597 ISBN 13: 9780857297594
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Descripción Springer London Ltd, United Kingdom, 2011. Hardback. Estado de conservación: New. 2011 ed.. Language: English . Brand New Book. Sir William Rowan Hamilton was a genius, and will be remembered for his significant contributions to physics and mathematics. The Hamiltonian, which is used in quantum physics to describe the total energy of a system, would have been a major achievement for anyone, but Hamilton also invented quaternions, which paved the way for modern vector analysis. Quaternions are one of the most documented inventions in the history of mathematics, and this book is about their invention, and how they are used to rotate vectors about an arbitrary axis. Apart from introducing the reader to the features of quaternions and their associated algebra, the book provides valuable historical facts that bring the subject alive. Quaternions for Computer Graphics introduces the reader to quaternion algebra by describing concepts of sets, groups, fields and rings. It also includes chapters on imaginary quantities, complex numbers and the complex plane, which are essential to understanding quaternions. The book contains many illustrations and worked examples, which make it essential reading for students, academics, researchers and professional practitioners. Nº de ref. de la librería AAZ9780857297594

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Descripción Estado de conservación: New. Bookseller Inventory # ST0857297597. Nº de ref. de la librería ST0857297597

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Descripción Springer London 2011-06-12, London, 2011. hardback. Estado de conservación: New. Nº de ref. de la librería 9780857297594

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Descripción Springer London Ltd, 2011. HRD. Estado de conservación: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Nº de ref. de la librería GB-9780857297594

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Descripción Springer London Ltd, 2011. HRD. Estado de conservación: New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IP-9780857297594

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Descripción Springer, 2011. Estado de conservación: New. This book introduces the features of quaternions and explains their associated algebra, offers historical details about their invention by Sir William Rowan Hamilton and shows how they are used in computer graphics to rotate vectors about an arbitrary axis. Num Pages: 140 pages, 15 black & white tables, biography. BIC Classification: PBF; UMB; UML; UYAM. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 11. Weight in Grams: 403. . 2011. 2011th Edition. Hardcover. . . . . . Nº de ref. de la librería V9780857297594

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Descripción Hardback. Estado de conservación: New. Not Signed; Sir William Rowan Hamilton was a genius, and will be remembered for his significant contributions to physics and mathematics. The Hamiltonian, which is used in quantum physics to describe the total energy of a system, would have been a major achievement for anyone, but Hamilton also invented quatern. book. Nº de ref. de la librería ria9780857297594_rkm

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Descripción Springer. Estado de conservación: New. This book introduces the features of quaternions and explains their associated algebra, offers historical details about their invention by Sir William Rowan Hamilton and shows how they are used in computer graphics to rotate vectors about an arbitrary axis. Num Pages: 140 pages, 15 black & white tables, biography. BIC Classification: PBF; UMB; UML; UYAM. Category: (P) Professional & Vocational. Dimension: 234 x 156 x 11. Weight in Grams: 403. . 2011. 2011th Edition. Hardcover. . . . . Books ship from the US and Ireland. Nº de ref. de la librería V9780857297594

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Descripción Springer London Ltd, 2011. HRD. Estado de conservación: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Nº de ref. de la librería IP-9780857297594

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