Geometry Of Matrices
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Vectors Matrices And Geometry
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Author : K.T. Leung
language : en
Publisher: Hong Kong University Press
Release Date : 1994-08-01
Vectors Matrices And Geometry written by K.T. Leung and has been published by Hong Kong University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-08-01 with Mathematics categories.
This book is the last volume of a three-book series written for Sixth Form students and first-year undergraduates. It introduces the important concepts of finite-dimensional vector spaces through the careful study of Euclidean geometry. In turn, methods of linear algebra are then used in the study of coordinate transformations through which a complete classification of conic sections and quadric surfaces is obtained. The book concludes with a detailed treatment of linear equations in n variables in the language of vectors and matrices. Illustrative examples are included in the main text and numerous exercises are given in each section. The other books in the series are Fundamental Concepts of Mathematics (published 1988) and Polynomials and Equations (published 1992).
Geometry Of Matrices In Memory Of Professor L K Hua 1910 1985
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Author : Zhe-xian Wan
language : en
Publisher: World Scientific
Release Date : 1996-05-25
Geometry Of Matrices In Memory Of Professor L K Hua 1910 1985 written by Zhe-xian Wan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-05-25 with Mathematics categories.
The present monograph is a state-of-art survey of the geometry of matrices whose study was initiated by L K Hua in the forties. The geometry of rectangular matrices, of alternate matrices, of symmetric matrices, and of hermitian matrices over a division ring or a field are studied in detail. The author's recent results on geometry of symmetric matrices and of hermitian matrices are included. A chapter on linear algebra over a division ring and one on affine and projective geometry over a division ring are also included. The book is clearly written so that graduate students and third or fourth year undergraduate students in mathematics can read it without difficulty.
Geometry Of Matrices
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Author : Zhexian Wan
language : en
Publisher: World Scientific
Release Date : 1996
Geometry Of Matrices written by Zhexian Wan and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Mathematics categories.
The present monograph is a state-of-art survey of the geometry of matrices whose study was initiated by L K Hua in the forties. The geometry of rectangular matrices, of alternate matrices, of symmetric matrices, and of hermitian matrices over a division ring or a field are studied in detail. The author's recent results on geometry of symmetric matrices and of hermitian matrices are included. A chapter on linear algebra over a division ring and one on affine and projective geometry over a division ring are also included. The book is clearly written so that graduate students and third or fourth year undergraduate students in mathematics can read it without difficulty.
Matrices And Graphs In Geometry
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Author : Miroslav Fiedler
language : en
Publisher: Cambridge University Press
Release Date : 2011-02-03
Matrices And Graphs In Geometry written by Miroslav Fiedler and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-03 with Mathematics categories.
Demonstrates the close relationship between matrix theory and elementary Euclidean geometry, with emphasis on using simple graph-theoretical notions.
Geometry Of Matrices Over Ring
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Author : Liping Huang
language : en
Publisher:
Release Date : 2006
Geometry Of Matrices Over Ring written by Liping Huang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Geometry categories.
本书介绍了环与模,环上矩阵论,非交换主理想整环上的仿射几何与射影几何,非交换主理想整环上的长方矩阵几何,交换主理想整环上的对称矩阵几何,除环上Hermitian矩阵几何,除环上分块三角矩阵几何,以及矩阵几何在代数学、几何学、图论等方面的应用.
Elementary Linear And Matrix Algebra
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Author : John T. Moore
language : en
Publisher: McGraw-Hill Companies
Release Date : 1972
Elementary Linear And Matrix Algebra written by John T. Moore and has been published by McGraw-Hill Companies this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972 with Mathematics categories.
Matrix Information Geometry
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Author : Frank Nielsen
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-08-07
Matrix Information Geometry written by Frank Nielsen and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-07 with Technology & Engineering categories.
This book presents advances in matrix and tensor data processing in the domain of signal, image and information processing. The theoretical mathematical approaches are discusses in the context of potential applications in sensor and cognitive systems engineering. The topics and application include Information Geometry, Differential Geometry of structured Matrix, Positive Definite Matrix, Covariance Matrix, Sensors (Electromagnetic Fields, Acoustic sensors) and Applications in Cognitive systems, in particular Data Mining.
Linear Algebra Through Geometry
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Author : T. Banchoff
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Linear Algebra Through Geometry written by T. Banchoff and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
In this book we lead the student to an understanding of elementary linear algebra by emphasizing the geometric significance of the subject. Our experience in teaching beginning undergraduates over the years has convinced us that students learn the new ideas of linear algebra best when these ideas are grounded in the familiar geometry of two and three dimensions. Many important notions of linear algebra already occur in these dimensions in a non-trivial way, and a student with a confident grasp of these ideas will encounter little difficulty in extending them to higher dimensions and to more abstract algebraic systems. Moreover, we feel that this geometric approach provides a solid basis for the linear algebra needed in engineering, physics, biology, and chemistry, as well as in economics and statistics. The great advantage of beginning with a thorough study of the linear algebra of the plane is that students are introduced quickly to the most important new concepts while they are still on the familiar ground of two-dimensional geometry. In short order, the student sees and uses the notions of dot product, linear transformations, determinants, eigenvalues, and quadratic forms. This is done in Chapters 2.0-2.7. Then the very same outline is used in Chapters 3.0-3.7 to present the linear algebra of three-dimensional space, so that the former ideas are reinforced while new concepts are being introduced.
Linear Algebra And Geometry
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Author : Al Cuoco
language : en
Publisher: American Mathematical Soc.
Release Date : 2019-04-10
Linear Algebra And Geometry written by Al Cuoco and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-04-10 with Algebras, Linear categories.
Linear Algebra and Geometry is organized around carefully sequenced problems that help students build both the tools and the habits that provide a solid basis for further study in mathematics. Requiring only high school algebra, it uses elementary geometry to build the beautiful edifice of results and methods that make linear algebra such an important field. The materials in Linear Algebra and Geometry have been used, field tested, and refined for over two decades. It is aimed at preservice and practicing high school mathematics teachers and advanced high school students looking for an addition to or replacement for calculus. Secondary teachers will find the emphasis on developing effective habits of mind especially helpful. The book is written in a friendly, approachable voice and contains nearly a thousand problems. An instructor's manual for this title is available electronically to those instructors who have adopted the textbook for classroom use. Please send email to [email protected] for more information.
Linear Algebra Through Geometry
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Author : Thomas Banchoff
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Linear Algebra Through Geometry written by Thomas Banchoff and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This book introduces the concepts of linear algebra through the careful study of two and three-dimensional Euclidean geometry. This approach makes it possible to start with vectors, linear transformations, and matrices in the context of familiar plane geometry and to move directly to topics such as dot products, determinants, eigenvalues, and quadratic forms. The later chapters deal with n-dimensional Euclidean space and other finite-dimensional vector space.