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Linear Algebra and Projective Geometry

2012-06-11 Mathematics
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Release : 2012-06-11
Genre : Mathematics
Kind : eBook
Book Rating : 661/5 ( reviews)

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Book Synopsis Linear Algebra and Projective Geometry by : Reinhold Baer

Download or read book Linear Algebra and Projective Geometry written by Reinhold Baer. This book was released on 2012-06-11. Available in PDF, EPUB and Kindle. Book excerpt: Geared toward upper-level undergraduates and graduate students, this text establishes that projective geometry and linear algebra are essentially identical. The supporting evidence consists of theorems offering an algebraic demonstration of certain geometric concepts. 1952 edition.

Linear Algebra and Geometry

2012-08-23 Mathematics
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Release : 2012-08-23
Genre : Mathematics
Kind : eBook
Book Rating : 941/5 ( reviews)

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Book Synopsis Linear Algebra and Geometry by : Igor R. Shafarevich

Download or read book Linear Algebra and Geometry written by Igor R. Shafarevich. This book was released on 2012-08-23. Available in PDF, EPUB and Kindle. Book excerpt: 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 with vector spaces, linear transformations, inner product spaces, and the theory of affine and projective spaces. The book also includes some subjects that are naturally related to linear algebra but are usually not covered in such courses: exterior algebras, non-Euclidean geometry, topological properties of projective spaces, theory of quadrics (in affine and projective spaces), decomposition of finite abelian groups, and finitely generated periodic modules (similar to Jordan normal forms of linear operators). Mathematical reasoning, theorems, and concepts are illustrated with numerous examples from various fields of mathematics, including differential equations and differential geometry, as well as from mechanics and physics.

Projective Geometry and Modern Algebra

1996-01-26 Mathematics
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Release : 1996-01-26
Genre : Mathematics
Kind : eBook
Book Rating : 004/5 ( reviews)

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Book Synopsis Projective Geometry and Modern Algebra by : Lars Kadison

Download or read book Projective Geometry and Modern Algebra written by Lars Kadison. This book was released on 1996-01-26. Available in PDF, EPUB and Kindle. Book excerpt: The techniques and concepts of modern algebra are introduced for their natural role in the study of projectile geometry; groups appear as automorphism groups of configurations, division rings appear in the study of Desargues' theorem and the study of the independence of the seven axioms given for projectile geometry.

Lectures in Projective Geometry

2012-06-14 Mathematics
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Release : 2012-06-14
Genre : Mathematics
Kind : eBook
Book Rating : 734/5 ( reviews)

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Book Synopsis Lectures in Projective Geometry by : A. Seidenberg

Download or read book Lectures in Projective Geometry written by A. Seidenberg. This book was released on 2012-06-14. Available in PDF, EPUB and Kindle. Book excerpt: An ideal text for undergraduate courses, this volume takes an axiomatic approach that covers relations between the basic theorems, conics, coordinate systems and linear transformations, quadric surfaces, and the Jordan canonical form. 1962 edition.

Linear Geometry

2013-12-01 Mathematics
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Release : 2013-12-01
Genre : Mathematics
Kind : eBook
Book Rating : 014/5 ( reviews)

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Book Synopsis Linear Geometry by : K. W. Gruenberg

Download or read book Linear Geometry written by K. W. Gruenberg. This book was released on 2013-12-01. Available in PDF, EPUB and Kindle. Book excerpt: This is essentially a book on linear algebra. But the approach is somewhat unusual in that we emphasise throughout the geometric aspect of the subject. The material is suitable for a course on linear algebra for mathe matics majors at North American Universities in their junior or senior year and at British Universities in their second or third year. However, in view of the structure of undergraduate courses in the United States, it is very possible that, at many institutions, the text may be found more suitable at the beginning graduate level. The book has two aims: to provide a basic course in linear algebra up to, and including, modules over a principal ideal domain; and to explain in rigorous language the intuitively familiar concepts of euclidean, affine, and projective geometry and the relations between them. It is increasingly recognised that linear algebra should be approached from a geometric point of VIew. This applies not only to mathematics majors but also to mathematically-oriented natural scientists and engineers.

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