Rotations, Quaternions, and Double Groups PDF Download
Are you looking for read ebook online? Search for your book and save it on your Kindle device, PC, phones or tablets. Download Rotations, Quaternions, and Double Groups PDF full book. Access full book title Rotations, Quaternions, and Double Groups by Simon L. Altmann. Download full books in PDF and EPUB format.
Author: Simon L. Altmann
Publisher: Courier Corporation
ISBN: 0486317730
Category : Mathematics
Languages : en
Pages : 315
Get Book Here
Book Description
This self-contained text presents a consistent description of the geometric and quaternionic treatment of rotation operators, employing methods that lead to a rigorous formulation and offering complete solutions to many illustrative problems. Geared toward upper-level undergraduates and graduate students, the book begins with chapters covering the fundamentals of symmetries, matrices, and groups, and it presents a primer on rotations and rotation matrices. Subsequent chapters explore rotations and angular momentum, tensor bases, the bilinear transformation, projective representations, and the geometry, topology, and algebra of rotations. Some familiarity with the basics of group theory is assumed, but the text assists students in developing the requisite mathematical tools as necessary.
Author: Joe Dinoffer
Publisher:
ISBN: 9781893109148
Category :
Languages : en
Pages :
Get Book Here
Book Description
Author: Simon L. Altmann
Publisher: Courier Corporation
ISBN: 0486317730
Category : Mathematics
Languages : en
Pages : 315
Get Book Here
Book Description
This self-contained text presents a consistent description of the geometric and quaternionic treatment of rotation operators, employing methods that lead to a rigorous formulation and offering complete solutions to many illustrative problems. Geared toward upper-level undergraduates and graduate students, the book begins with chapters covering the fundamentals of symmetries, matrices, and groups, and it presents a primer on rotations and rotation matrices. Subsequent chapters explore rotations and angular momentum, tensor bases, the bilinear transformation, projective representations, and the geometry, topology, and algebra of rotations. Some familiarity with the basics of group theory is assumed, but the text assists students in developing the requisite mathematical tools as necessary.
Author: Adam Morawiec
Publisher: Springer Science & Business Media
ISBN: 3662091569
Category : Science
Languages : en
Pages : 203
Get Book Here
Book Description
Essentially, Orientations and Rotations treats the mathematical and computational foundations of texture analysis. It contains an extensive and thorough introduction to parameterizations and geometry of the rotation space. Since the notions of orientations and rotations are of primary importance for science and engineering, the book can be useful for a very broad audience using rotations in other fields.
Author: Peter S. Uzelac
Publisher: Lippincott Williams & Wilkins
ISBN: 1975107667
Category : Medical
Languages : en
Pages : 512
Get Book Here
Book Description
Ideal for medical students, PAs and NPs, this pocket-sized quick reference helps students hone the clinical reasoning and documentation skills needed for effective practice in internal medicine, pediatrics, OB/GYN, surgery, emergency medicine, and psychiatry. This updated edition offers step-by-step guidance on how to properly document patient care as it addresses the most common clinical problems encountered on the wards and clinics. Emphasizing the patient’s clinical problem, not the diagnosis, the book’s at-a-glance, two-page layout uses the familiar SOAP note format.
Author: J. B. Kuipers
Publisher: Princeton University Press
ISBN: 0691211701
Category : Mathematics
Languages : en
Pages : 396
Get Book Here
Book Description
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.
Author: Kenichi Kanatani
Publisher: CRC Press
ISBN: 1000070662
Category : Computers
Languages : en
Pages : 171
Get Book Here
Book Description
3D rotation analysis is widely encountered in everyday problems thanks to the development of computers. Sensing 3D using cameras and sensors, analyzing and modeling 3D for computer vision and computer graphics, and controlling and simulating robot motion all require 3D rotation computation. This book focuses on the computational analysis of 3D rotation, rather than classical motion analysis. It regards noise as random variables and models their probability distributions. It also pursues statistically optimal computation for maximizing the expected accuracy, as is typical of nonlinear optimization. All concepts are illustrated using computer vision applications as examples. Mathematically, the set of all 3D rotations forms a group denoted by SO(3). Exploiting this group property, we obtain an optimal solution analytical or numerically, depending on the problem. Our numerical scheme, which we call the "Lie algebra method," is based on the Lie group structure of SO(3). This book also proposes computing projects for readers who want to code the theories presented in this book, describing necessary 3D simulation setting as well as providing real GPS 3D measurement data. To help readers not very familiar with abstract mathematics, a brief overview of quaternion algebra, matrix analysis, Lie groups, and Lie algebras is provided as Appendix at the end of the volume.
Author: Paul B. Davenport
Publisher:
ISBN:
Category : Rotational motion
Languages : en
Pages : 36
Get Book Here
Book Description
Author: Paul Gonzales
Publisher: Lippincott Williams & Wilkins
ISBN: 1496387287
Category : Medical
Languages : en
Pages : 1050
Get Book Here
Book Description
Publisher's Note: Products purchased from 3rd Party sellers are not guaranteed by the Publisher for quality, authenticity, or access to any online entitlements included with the product. Prepare for the rotation exams with the first exam prep resource to cover all of the most commonly tested rotations! Presented in a full-color, concise format, this must-have new book covers high-yield content from each of the major PA rotations: Internal Medicine, Family Medicine, Pediatrics, OB/GYN, Surgery, Emergency Medicine, and Psychiatry. Featuring 25 practice questions, with an additional 25 available online, for each rotation, this practical solution offers you everything you need for rotation exam success.
Author: K. Wisniewski
Publisher: Springer Science & Business Media
ISBN: 9048187613
Category : Technology & Engineering
Languages : en
Pages : 492
Get Book Here
Book Description
The objective of this book is to provide a comprehensive introduction to ?nite rotation shells and to non-linear shell ?nite elements. It is divided into 5 parts: I. Preliminaries (20 pages), II. Shell equations (104 pages), III. Finite rotations for shells (103 pages), IV. Four-node shell elements (189 pages), and V. Numerical examples (41 pages). Additional numerical examples are presented in Parts III and IV. The bibliography includes 270 entries. The book is intended for both teaching and self-study, and emphasizes fundamental aspects and techniques of the subject. Some familiarity with non-linear mechanics and the ?nite element method is assumed. Shell elements are a subject of active research which results in many publications every year and several conferences and sessions are held r- ularly, among them, two large international conferences: \Computation of Shell and Spatial Structures" and \Shell Structures. Theory and - plications" (SSTA). The literature is voluminous, not easy to follow and evaluate, and the subject is di–cult to comprehend. I hope that this will be facilitated by the book. I would like to express my gratitude to several persons who helped me in my professional life, in this way contributing to the book. I thank Prof. R.L. Taylor from the University of California at Berkeley, Prof. B. Schre er from the University of Padua, and Prof. J.T. Santos from the Instituto Superior Tecnico at Lisbon, for hosting and supporting me when I was a post-doctoral researcher.
Author: Stewart H. Lecker
Publisher: Springer Nature
ISBN: 3030635600
Category : Medical
Languages : en
Pages : 1028
Get Book Here
Book Description
Written by the top medical student rotators, this book provides medical students with the often elusive information and skills required to ace their clinical rotations Chapters cover all major medical sub-specialties such as internal medicine, general surgery, cardiology, dermatology, orthopedics, neurosurgery, and ophthalmology. Additionally, the book offers many novel features including a review of core rotation skills for oral presentations and a walk-through of a day in the life of the medical student on a particular rotation. It focuses on the common cases that students actually encounter in the hospital. This format thereby administers a complete, concise overview of what is needed for each rotation A unique resource, The Ultimate Medical School Rotation Guide is not only instructional and comprehensive, but also assuring and supportive as it encourages students to appreciate this rewarding time in their medical careers
