Bøger af Reinhold Baer

Linear Algebra and Projective Geometry: Pure and Applied Mathematics, Volume 2, written by Reinhold Baer, is a comprehensive textbook that explores the relationship between linear algebra and projective geometry. The book is divided into two parts, with the first part focusing on linear algebra and the second part focusing on projective geometry. In the first part, the author covers topics such as vector spaces, linear transformations, determinants, eigenvalues, and eigenvectors. The author also discusses the theory of matrices, including matrix algebra, matrix inverses, and the computation of determinants. Additionally, the author provides numerous examples and exercises to help readers solidify their understanding of linear algebra concepts.The second part of the book delves into projective geometry, which is the study of geometric properties that are invariant under projection. The author discusses topics such as projective spaces, projective transformations, duality, and conics. The author also explores the relationship between projective geometry and linear algebra, demonstrating how linear algebra can be used to solve problems in projective geometry.Overall, Linear Algebra and Projective Geometry: Pure and Applied Mathematics, Volume 2 is a valuable resource for students and researchers in mathematics, physics, and engineering. The book provides a thorough treatment of both linear algebra and projective geometry, with numerous examples and exercises to help readers develop a deep understanding of these important topics.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

Frontmatter -- Über die Zerlegungen einer Mischgruppe nach einer Untermischgruppe -- Backmatter

Frontmatter -- Beiträge zur Galois sehen Theorie

Frontmatter -- Einleitung. -- § 1. Das System der Grundbegriffe -- § 2. Die Axiomatik der Hp-Relation -- § 3. Die Axiomatik des Stetigkeitsbegriffs -- § 4. In einen Punkt stetig fortsetzbare Abbildungen -- § 5. Topologie in Gruppen von topologischen Abbildungen -- Anhang. Topologische Räume mit vorgegebener, höchstens abzählbarer Gruppe