Ever since the Irish mathematician William Rowan Hamilton introduced quaternions in the nineteenth century--a feat he celebrated by carving the founding equations into a stone bridge--mathematicians and engineers have been fascinated by these mathematical objects. Today, they are used in applications as various as describing the geometry of spacetime, 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.
The book is primarily an exposition of the quaternion, a 4-tuple, and its primary application in a rotation operator. But Kuipers also presents the more conventional and familiar 3 x 3 (9-element) matrix rotation operator. These parallel presentations allow the reader to judge which approaches are preferable for specific applications. The volume is divided into three main parts. The opening chapters present introductory material and establish the book's terminology and notation. The next part presents the mathematical properties of quaternions, including quaternion algebra and geometry. It includes more advanced special topics in spherical trigonometry, along with an introduction to quaternion calculus and perturbation theory, required in many situations involving dynamics and kinematics. In the final section, Kuipers discusses state-of-the-art applications. He presents a six degree-of-freedom electromagnetic position and orientation transducer and concludes by discussing the computer graphics necessary for the development of applications in virtual reality.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Spese di spedizione:
EUR 4,23
In U.S.A.
Descrizione libro Condizione: New. Codice articolo 127365
Descrizione libro Condizione: New. Codice articolo 738439-n
Descrizione libro PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo WP-9780691102986
Descrizione libro Condizione: New. Book is in NEW condition. Codice articolo 0691102988-2-1
Descrizione libro Condizione: New. 2002. Paperback. Introduces quaternions for scientists and engineers, and shows how they can be used in a variety of practical situations. This book is primarily an exposition of the quaternion, a 4-tuple, and its primary application in a rotation operator. It also presents the conventional and familiar 3 x 3 (9-element) matrix rotation operator. Num Pages: 400 pages, 121 figures. BIC Classification: PBF; PDE; TBJ. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 194 x 254 x 23. Weight in Grams: 776. . . . . . Codice articolo V9780691102986
Descrizione libro Condizione: new. Codice articolo dd38efb99f01864ff55b5d56c3b25db7
Descrizione libro Soft Cover. Condizione: new. Codice articolo 9780691102986
Descrizione libro paperback. Condizione: New. Language: ENG. Codice articolo 9780691102986
Descrizione libro Condizione: New. Codice articolo 738439-n
Descrizione libro PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo WP-9780691102986