<電子ブック>
Linear Algebra for the Sciences / by Manuel Benz, Thomas Kappeler
(La Matematica per il 3+2. ISSN:20385757 ; 151)
版 | 1st ed. 2023. |
---|---|
出版者 | Cham : Springer International Publishing : Imprint: Springer |
出版年 | 2023 |
本文言語 | 英語 |
大きさ | XII, 259 p. 17 illus., 3 illus. in color : online resource |
著者標目 | *Benz, Manuel author Kappeler, Thomas author SpringerLink (Online service) |
件 名 | LCSH:Algebras, Linear LCSH:Algebra FREE:Linear Algebra FREE:Algebra |
一般注記 | Part I Systems of linear equations -- 1 Introduction -- 2 Systems with two equations and two unknowns -- 3 Gaussian elimination -- Part II Matrices and related topics -- 4 Basic operations -- 5 Linear dependence, bases, coordinates -- 6 Determinants -- Part III Complex numbers -- 7 Complex numbers: definition and operations -- 8 The Fundamental Theorem of Algebra -- 9 Linear systems with complex coefficients -- Part IV Vector spaces and linear maps -- 10 Vector spaces and their linear subspaces -- 11 Linear maps -- 12 Inner products on K-vector spaces -- Part V Eigenvalues and eigenvectors -- 13 Eigenvalues and eigenvectors of C–linear maps -- 14 Eigenvalues and eigenvectors of R-linear maps -- 15 Quadratic forms on Rn -- Part VI Differential equations -- 16 Introduction -- 17 Linear ODEs with constant coefficients of first order -- 18 Linear ODEs with constant coefficients of higher order -- Appendix A Solutions This book is based on a course for first-semester science students, held by the second author at the University of Zurich several times. Its goal is threefold: to have students learn a minimal working knowledge of linear algebra, acquire some computational skills, and familiarize them with mathematical language to make mathematical literature more accessible. Therefore, we give precise definitions, introduce helpful notations, and state any results carefully worded. We provide no proofs of these results but typically illustrate them with numerous examples. Additionally, for better understanding, we often give supporting arguments for why they are valid HTTP:URL=https://doi.org/10.1007/978-3-031-27220-2 |
目次/あらすじ
所蔵情報を非表示
電子ブック | 配架場所 | 資料種別 | 巻 次 | 請求記号 | 状 態 | 予約 | コメント | ISBN | 刷 年 | 利用注記 | 指定図書 | 登録番号 |
---|---|---|---|---|---|---|---|---|---|---|---|---|
電子ブック | オンライン | 電子ブック |
|
|
Springer eBooks | 9783031272202 |
|
電子リソース |
|
EB00223929 |