Great detailed exposition on quaternion algebra. The author starts out with an overview of traditional matrix algebra applied to 2D and 3D rotations, and then manages to show how quaternions, as an extension of complex numbers to represent rotations in 2D, are a useful tool for representing rotations in 3D.
The book contains various interesting practical applications for quaternions taken from the aerospace industry, and shows how quaternions are superior to traditional matrix algebra for representing rotations in 3D.
For everyone who likes to truly understand how quaternions work instead of just copy-pasting some formula's from a random textbook.
The following quote shows the author's motives are first and foremost to educate the reader, instead of displaying his mathematical intellect, from page 186:
No doubt some constraints on the matrix M will emerge, but the process seems overly difficult and tedious. Only the most masochistic reader will want to pursue these details.
Los miembros de LibraryThing mejoran los autores combinando sus nombres y sus obras, separando los nombres de autores homónimos en identidades distintas, y más.
Este sitio utiliza cookies para ofrecer nuestros servicios, mejorar el rendimiento, análisis y (si no estás registrado) publicidad. Al usar LibraryThing reconoces que has leído y comprendido nuestros términos de servicio y política de privacidad. El uso del sitio y de los servicios está sujeto a estas políticas y términos.
The book contains various interesting practical applications for quaternions taken from the aerospace industry, and shows how quaternions are superior to traditional matrix algebra for representing rotations in 3D.
For everyone who likes to truly understand how quaternions work instead of just copy-pasting some formula's from a random textbook.
The following quote shows the author's motives are first and foremost to educate the reader, instead of displaying his mathematical intellect, from page 186:
Great stuff.… (más)