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Geometrische Algebra mit Anwendungen in der Technik von Christian Perwass (Englisch
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eBay-Artikelnr.:395957176648
Artikelmerkmale
- Artikelzustand
- ISBN-13
- 9783642100321
- Book Title
- Geometric Algebra with Applications in Engineering
- ISBN
- 9783642100321
Über dieses Produkt
Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
3642100325
ISBN-13
9783642100321
eBay Product ID (ePID)
109011572
Product Key Features
Number of Pages
Xiv, 386 Pages
Language
English
Publication Name
Geometric Algebra with Applications in Engineering
Subject
Geometry / General, Image Processing, Computer Vision & Pattern Recognition
Publication Year
2010
Type
Textbook
Subject Area
Mathematics, Computers
Series
Geometry and Computing Ser.
Format
Trade Paperback
Dimensions
Item Weight
21.6 Oz
Item Length
9.3 in
Item Width
6.1 in
Additional Product Features
Intended Audience
Scholarly & Professional
Reviews
From the reviews:"This book shows how this geometric algebra relates to the more familiar concepts and how it can be applied to some engineering problems. … The book is organized in two parts--five chapters on theory and an equal number on applications. … Scientists and engineers will undoubtedly notice that they have seen cases and applications of the theorems and properties in more specific circumstances … . It will be useful for the nonmathematician … . It would be well worth the effort." (Anthony J. Duben, ACM Computing Reviews, June, 2009)The author introduces the principle of outer morphisms as generalizations of linear mappings in geometric algebras. … This book is a very nice, comprehensive and methodically perfected presentation of a new important branch of mathematics. The book shows there is no separation line between theoretical and applied mathematics. Mathematics has to be understood as a monolithic whole this is one of the messages of this warmly recommended monography. (Wolfgang Sprößig, Zentralblatt MATH, Vol. 1179, 2010)The book under review is an extensive introduction to geometric algebra and its various applications. Both the modern theory and recent results obtained by the author and his collaborators are included. … This book is intended for graduate students, academics and researchers interested in geometric algebra and its applications. (Georgi Hristov Georgiev, Mathematical Reviews, Issue 2011 j), From the reviews: "This book shows how this geometric algebra relates to the more familiar concepts and how it can be applied to some engineering problems. ... The book is organized in two parts--five chapters on theory and an equal number on applications. ... Scientists and engineers will undoubtedly notice that they have seen cases and applications of the theorems and properties in more specific circumstances ... . It will be useful for the nonmathematician ... . It would be well worth the effort." (Anthony J. Duben, ACM Computing Reviews, June, 2009) "The author introduces the principle of outer morphisms as generalizations of linear mappings in geometric algebras. ... This book is a very nice, comprehensive and methodically perfected presentation of a new important branch of mathematics. The book shows there is no separation line between theoretical and applied mathematics. Mathematics has to be understood as a monolithic whole - this is one of the messages of this warmly recommended monography." (Wolfgang Sprig, Zentralblatt MATH, Vol. 1179, 2010) "The book under review is an extensive introduction to geometric algebra and its various applications. Both the modern theory and recent results obtained by the author and his collaborators are included. ... This book is intended for graduate students, academics and researchers interested in geometric algebra and its applications." (Georgi Hristov Georgiev, Mathematical Reviews, Issue 2011 j), From the reviews: "This book shows how this geometric algebra relates to the more familiar concepts and how it can be applied to some engineering problems. ... The book is organized in two parts--five chapters on theory and an equal number on applications. ... Scientists and engineers will undoubtedly notice that they have seen cases and applications of the theorems and properties in more specific circumstances ... . It will be useful for the nonmathematician ... . It would be well worth the effort." (Anthony J. Duben, ACM Computing Reviews, June, 2009) "The author introduces the principle of outer morphisms as generalizations of linear mappings in geometric algebras. ... This book is a very nice, comprehensive and methodically perfected presentation of a new important branch of mathematics. The book shows there is no separation line between theoretical and applied mathematics. Mathematics has to be understood as a monolithic whole - this is one of the messages of this warmly recommended monography." (Wolfgang Sprößig, Zentralblatt MATH, Vol. 1179, 2010) "The book under review is an extensive introduction to geometric algebra and its various applications. Both the modern theory and recent results obtained by the author and his collaborators are included. ... This book is intended for graduate students, academics and researchers interested in geometric algebra and its applications." (Georgi Hristov Georgiev, Mathematical Reviews, Issue 2011 j), From the reviews:"This book shows how this geometric algebra relates to the more familiar concepts and how it can be applied to some engineering problems. The book is organized in two parts--five chapters on theory and an equal number on applications. Scientists and engineers will undoubtedly notice that they have seen cases and applications of the theorems and properties in more specific circumstances . It will be useful for the nonmathematician . It would be well worth the effort." (Anthony J. Duben, ACM Computing Reviews, June, 2009)
Dewey Edition
22
Series Volume Number
4
Number of Volumes
1 vol.
Illustrated
Yes
Dewey Decimal
530.15257
Table Of Content
Theory.- Learning Geometric Algebra with CLUCalc.- Algebra.- Geometries.- Numerics.- Applications.- Uncertain Geometric Entities and Operators.- The Inversion Camera Model.- Monocular Pose Estimation.- Versor Functions.- Random-Variable Space.
Synopsis
This book examines all aspects essential for a successful application of geometric algebra to engineering--the theoretical foundations, the representation of geometric constraints, and the numerical estimation from uncertain data., The application of geometric algebra to the engineering sciences is a young, active subject of research. The promise of this field is that the mathematical structure of geometric algebra together with its descriptive power will result in intuitive and more robust algorithms. This book examines all aspects essential for a successful application of geometric algebra: the theoretical foundations, the representation of geometric constraints, and the numerical estimation from uncertain data. Formally, the book consists of two parts: theoretical foundations and applications. The first part includes chapters on random variables in geometric algebra, linear estimation methods that incorporate the uncertainty of algebraic elements, and the representation of geometry in Euclidean, projective, conformal and conic space. The second part is dedicated to applications of geometric algebra, which include uncertain geometry and transformations, a generalized camera model, and pose estimation. Graduate students, scientists, researchers and practitioners will benefit from this book. The examples given in the text are mostly recent research results, so practitioners can see how to apply geometric algebra to real tasks, while researchers note starting points for future investigations. Students will profit from the detailed introduction to geometric algebra, while the text is supported by the author's visualization software, CLUCalc, freely available online, and a website that includes downloadable exercises, slides and tutorials.
LC Classification Number
TA1501-1820
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grandeagleretail
98,3% positive Bewertungen•2.8 Mio. Artikel verkauft
Angemeldet als gewerblicher Verkäufer
Verkäuferbewertungen (1'054'047)
- o***p (673)- Bewertung vom Käufer.Letzter MonatBestätigter KaufSeller cancelled my order after waiting a full week. They informed me that they had miscalculated their inventory though I'm not sure why it took them a week to figure that out and notify me.
- m***m (219)- Bewertung vom Käufer.Letzter MonatBestätigter KaufI thoroughly enjoyed dealing with this seller. They shipped the item in a timely manner and it was exactly as it was described in the listing.
- -***n (1899)- Bewertung vom Käufer.Letzter MonatBestätigter KaufA+++++ Product