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# ðŸ“™ Linear algebra and projective geometry by Reinhold. Baer â€” epub download

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PURE AND APPLIED MATHEMATICSA Series of Monographs and TextbooksEdited byPaul A. Smith and Samuel Eilenberg Columbia University, New YorkIn this book we intend to establish the essential structural identity of projective geometry and linear algebra. It has, of course, long been realized that these two disciplines are identical. The evidence substantiating this statement is contained in a number of theorems showing that certain geometrical concepts may be represented in algebraic fashion. However, it is rather difficult to locate these fundamental existence theorems in the literature in spite of their importance and great usefulness. The core of our discussion will consequently be formed by theorems of just this type. These are concerned with the representation of projective geometries by linear manifolds, of projectivities by semi-linear transformations, of collineations by linear transformations and of dualities by semi-bilinear forms. These theorems will lead us to a reconstruction of the geometry which was the starting point of our discourse within such (apparently) purely algebraic structures as the endomorphism ring of the underlying linear manifold or the full linear group.

## About book:

## About file:

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- Author:
**Reinhold. Baer** - Year:
**1952** - Publisher:
**Academic Press** - Language:
**English** - ISBN:
**012072250X,9780120722501,9780080873107**

- DPI:
**300** - File size:
**1 770 022** - Format:
**djvu**

Security code:

This advanced textbook on linear algebra and geometry covers a wide range of classical and modern topics. Differing from existing textbooks in approach, the work illustrates the many-sided applications and connections of linear algebra with functional ana...

This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues wi...

This book on linear algebra and geometry is based on a course given by renowned academician I.R. Shafarevich at Moscow State University. The book begins with the theory of linear algebraic equations and the basic elements of matrix theory and continues wi...

Linear Algebra Through Geometry 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...

First published in 1952, this book has proven a valuable introduction for generations of students. It provides a clear and systematic development of projective geometry, building on concepts from linear algebra....

First published in 1952, this book has proven a valuable introduction for generations of students. It provides a clear and systematic development of projective geometry, building on concepts from linear algebra....

This book contains the proceedings of the Conference on Linear Algebraic Groups and Their Representations, held at UCLA in March 1992. The central theme is the fundamental nature of this subject and its interaction with a wide variety of active areas in m...

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 geo...

Practical Linear Algebra introduces students in math, science, engineering, and computer science to Linear Algebra from an intuitive and geometric viewpoint, creating a level of understanding that goes far beyond mere matrix manipulations. Practical aspec...

Linear algebra is now included in the undergraduate curriculum of most universities. It is generally recognized that this branch of algebra, being less abstract and directly motivated by geometry, is easier to understand than some other branches and that ...