Items related to Elements of Quaternions, Vol. 2 (Classic Reprint)
Synopsis
Excerpt from Elements of Quaternions, Vol. 2
In other words, the calculation of 1' and P introduces no differentials higher than the third order but that of R' requires the fourth order of differentials. In the language of modern geometry, the former can be determined by the consideration of four consecutive points of the curve, or by that of two consecutive osculating circles; but the latter requires the consideration of two consecutive osculating spheres, and therefore of five consecutive points of the curve (supposed to be one of double curvature). Other investigations, in the present and immediately following Series (398.
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About the Author
Dr Hamilton comes from a background of clinical and academic general practice. His medical career began in hospital medicine, including 2 ? years as a physician in Malawi, followed by 11 years as a principal (and senior partner) in general practice. He is now a full-time primary care researcher, funded by the NHS. His main research interest is in diagnosis in primary care, particularly that of cancer, and he recently completed three diagnostic studies for the Department of Health on colorectal, prostate and lung cancers. The colorectal results in particular have borne fruit, in that further studies on a tool for earlier diagnosis of this cancer have been funded by the DoH.
Dr Hamilton is a founder member of the NRCI Primary Care Studies Development Group (the umbrella organisation for cancer studies in primary care) and the NICE Guideline Development Group for CFS/ME. He has written over 50 peer-reviewed publications, largely in the field of diagnosis, with cancer being the largest topic. Dr Hamilton also co-edited the 2nd edition of 'Orthopaedics in Primary Care', which involved the key skill of translating orthopaedic surgeons language into English! His writing is not just the dry format of research papers: he has written editorials for the BMJ and BJGP, lighter pieces for the back pages of the BJGP and a lengthy piece on constipation for BMJ learning!
As well as his medical qualifications he has a certificate in literature (with merit!) from the University of Exeter.
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- PublisherForgotten Books
- Publication date2018
- ISBN 10 1330441168
- ISBN 13 9781330441169
- BindingPaperback
- LanguageEnglish
- Number of pages560
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Elements of Quaternions, Vol. 2 (Classic Reprint)
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Paperback. Condition: New. Print on Demand. This book delves into the fascinating world of quaternions, a mathematical concept developed by the Irish mathematician William Rowan Hamilton in the mid-19th century. Quaternions extend the familiar system of complex numbers to three-dimensional space, offering a powerful tool for representing and manipulating geometric objects and relationships. The author explores the applications of quaternions in diverse areas of geometry, including the study of curves in space, surfaces of the second order, and lines of curvature. He examines concepts like osculating circles and spheres, geodetic lines, and the unique properties of umbilics on central quadrics. Through a combination of rigorous analysis and insightful explanations, the book illuminates the elegance and depth of quaternion methods. It reveals how this mathematical tool can be used to express and derive complex geometric theorems in a concise and elegant manner. This book offers a valuable resource for anyone seeking a deeper understanding of the power and beauty of quaternion mathematics, and its implications for various branches of geometry. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330441169_0
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Elements of Quaternions, Vol. 2 (Classic Reprint)
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330441169
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Elements of Quaternions, Vol 2 Classic Reprint
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330441169
Quantity: 15 available