線形代数講座（テキスト） A Course in Linear Algebra (University Texts in the Mathematical Sciences)

George, Raju K./ Ajayakumar, Abhijith

Springer Verlag, Singapore（2025/04発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 551 p.
• 言語 ENG
• 商品コード 9789819986828

Full Description

Designed for senior undergraduate and graduate courses in mathematics and engineering, this self-contained textbook discusses key topics in linear algebra with real-life applications. Split into two parts—theory in part I and solved problems in part II—the book makes both theoretical and applied linear algebra easily accessible. Topics such as sets and functions, vector spaces, linear transformations, eigenvalues and eigenvectors, normed spaces, and inner product spaces are discussed in part I; while in part II, over 500 meticulously solved problems show how to use linear algebra in real-life situations. A must-have book for linear algebra courses; it also serves as valuable supplementary material.

Contents

1.Preliminaries.- 2. Vector Spaces.- 3. Linear Transformations.- 4. Eigenvalues and Eigenvectors.- 5. Normed Spaces and Inner Product Spaces.- 6. Bounded Linear Maps.- 7. Solved Problems: Preliminaries.- 8. Solved Problems: Vector Spaces.- 9.Solved Problems: Linear Transformations.- 10.Solved Problems: Eigenvalues and Eigenvectors.- 11. Solved Problems: Normed Spaces and Inner Product Spaces.- 12.Solved Problems: Bounded Linear Maps.