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Linear Algebra and Geometry

Springer Berlin,
Buch
53,45 € Lieferbar in 2-3 Tagen
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Opening with the theory of linear algebraic equations and basic elements of matrix theory, this book includes topics not usually covered: exterior algebras, non-Euclidean geometry, theory of quadrics and more. Offers examples from various mathematical fields.

Details
Schlagworte
Hauptbeschreibung

Titel: Linear Algebra and Geometry
Autoren/Herausgeber: Igor R. Shafarevich, Alexey Remizov
Übersetzer: David P Kramer, Lena Nekludova
Ausgabe: 2013

ISBN/EAN: 9783642434099
Originalsprache: Russisch

Seitenzahl: 526
Format: 23,5 x 15,5 cm
Produktform: Taschenbuch/Softcover
Gewicht: 831 g
Sprache: Englisch

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.

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