Linear algebra

著者

• Lang, Serge

書誌事項

Linear algebra

Serge Lang

（Undergraduate texts in mathematics）

Springer-Verlag, c1987

3rd ed

• : U.S.
• : Germany

注記

First edition of this book appeared under the title Introduction to linear algebra by Addison-Wesley, 1970

Second edition appeared under the title Linear algebra by Addison-Wesley, 1971

Includes bibliographical references and index

内容説明・目次

巻冊次

: U.S. ISBN 9780387964126

内容説明

This book begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorem for linear maps, including eigenvectors and eigenvalues, quadratic and hermitian forms, diagnolization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. Material in this new edition has been rewritten and reorganized and new exercises have been added.

目次

• 1. Vector Spaces
• 2. Matrices
• 3. Linear Mappings
• 4. Linear Maps and Matrices
• 5. Scalar Products and Orthogonality
• 6. Determinants
• 7. Symmetric, Hermitian, and Unitary Operators
• 8. Eigenvectors and Eigenvalues
• 9. Polynomials and Matrices
• 10. Triangulation of Matrices and Linear Maps
• 11. Polynomials and Primary Decomposition
• 12. Convex Sets

巻冊次

: Germany ISBN 9783540964124

内容説明

"Linear Algebra" is intended for a one-term course at the junior or senior level. It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorems for linear maps, including eigenvectors and eigenvalues, quadric and hermitian forms, diagonalization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan canonical form. The book also includes a useful chapter on convex sets and the finite-dimensional Krein-Milman theorem. The presentation is aimed at the student who has already had some exposure to the elementary theory of matrices, determinants, and linear maps. However the book is logically self-contained. In this new edition, many parts of the book have been rewritten and reorganized, and new exercises have been added.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA00424474
• ISBN:
  • 0387964126
  • 3540964126
• LCCN: 86021943
• 出版国コード: us
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: New York
• ページ数/冊数: ix, 285 p.
• 大きさ: 25 cm
• 分類:
  • NDC9 : 411.3
  • LCC : QA251
  • DC19 : 512/.5
  • NDLC : MA61
• 件名:
  • LCSH : Algebras, Linear
• 親書誌ID:
  • BA00018418