Linear Algebra and Geometry is popular PDF and ePub book, written by Igor R. Shafarevich in 2012-08-23, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Linear Algebra and Geometry can be Read Online from any device for your convenience.
Linear Algebra and Geometry Book PDF Summary
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.
Detail Book of Linear Algebra and Geometry PDF
- Author : Igor R. Shafarevich
- Release : 23 August 2012
- Publisher : Springer Science & Business Media
- ISBN : 9783642309946
- Genre : Mathematics
- Total Page : 536 pages
- Language : English
- PDF File Size : 13,9 Mb
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