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# ๐ Linear algebra and projective geometry by Reinhold. Baer โ 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:

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...

This volume of the Encyclopaedia contains two contributions on closely related subjects: the theory of linear algebraic groups and invariant theory. The first part is written by T.A. Springer, a well-known expert in the first mentioned field. He presents ...

This is a graduate textbook covering an especially broad range of topics. The first part of the book contains a careful but rapid discussion of the basics of linear algebra, including vector spaces, linear transformations, quotient spaces, and isomorphism...

This book is written as a textbook for the course of multidimensional geometryand linear algebra. At Mathematical Department of Bashkir State University thiscourse is taught to the first year students in the Spring semester. It is a part ofthe basic mathe...

Designed for use by first-year graduate students from a variety of engineering and scientific disciplines, this comprehensive textbook covers the solution of linear systems, least squares problems, eigenvalue problems, and the singular value decomposition...

This accessible book for beginners uses intuitive geometric concepts to create abstract algebraic theory with a special emphasis on geometric characterizations. The book applies known results to describe various geometries and their invariants, and presen...

The first edition of this book presented the theory of linear algebraic groups over an algebraically closed field. The second edition, thoroughly revised and expanded, extends the theory over arbitrary fields, which are not necessarily algebraically close...

This book is an introduction to group theory, complex numbers and linear algebra. In an unusual approach, the first topic covered is group theory, although it is only a small part of a small toe placed in the water. Chapters covering the set of real numbe...

This is a good, straightforward introduction to linear algebra. The "concurrent examples" approach works well. My main concern is that the geometric aspects of the subject are somewhat slighted. Geometry is treated very briefly (e.g., despite the emphasis...

Richard Day was one of the first economists to recognize the importance of complex dynamics, or chaos theory, in economics and to systematically explore whether a mathematical existence of such behavior could be established in standard models of economic ...

This updated and introductory text approaches integration via measure as opposed to measure via integration, an approach which makes it easier to grasp the subject. Apart from its central importance to pure mathematics, the material is also relevant to ap...

This book provides an overview of recent research on saving and consumption, a field in which substantial progress has been made over the last decade. Economists attempting to understand saving and consumption patterns have generated some of the best scie...

The outcome of a conference held in East Carolina University in June 1982, this book provides an account of developments in the theory and application of nonlinear waves in both fluids and plasmas. Twenty-two contributors from eight countries here cover a...

Mathematical problems such as graph theory problems are of increasing importance for the analysis of modelling data in biomedical research such as in systems biology, neuronal network modelling etc. This book follows a new approach of including graph theo...

Hadronic atoms provide a unique laboratory for studying hadronic interactions essentially at threshold. This text is the first book-form exposition of hadronic atom theory with emphasis on recent developments, both theoretical and experimental. Since the ...

Integral equations form an important class of problems, arising frequently in engineering, and in mathematical and scientific analysis. This textbook provides a readable account of techniques for their numerical solution. The authors devote their attentio...