Matrix Fundamentals : From Equation Solving to Signal Processing (Springer Undergraduate Mathematics Series) （2ND）

Saff, Edward Barry/ Snider, Arthur David

Springer International Publishing AG（2025/09発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 392 p.
• 言語 ENG
• 商品コード 9783031972218

Full Description

Matrix Fundamentals introduces tools for working with matrices, their applications, and their significance in the broader context of linear algebra. Assuming no previous exposure to matrices, the first four chapters provide a foundation accessible to students with a basic knowledge of calculus, covering essential matrix methods used in various quantitative fields. The book formulates algorithms and discusses their practical implementation. Later chapters introduce more advanced topics, such as singular value decomposition, along with some modern applications. Emphasizing visualization and experimentation, this text is designed for undergraduate courses for students in STEM, as well as business, economics and social sciences.

Contents

Part I.- Introduction: Three Examples.- 1 Systems of Linear Algebraic Equations.- 2 Matrix Algebra.- Part II.- Introduction: The Structure of General Solutions to Linear Algebraic Equations.- 3 Vector Spaces.- 4 Orthogonality in Real Vector Spaces.- Part III.- Introduction: Through the Looking Glass.- 5 Eigenvectors and Eigenvalues of Real Matrices.- 6 Similarity.- 7 Linear Systems of Differential Equations.