Matrix Fundamentals : From Equation Solving to Signal Processing / by Edward Barry Saff, Arthur David Snider.

Format:

Book

Author/Creator:

Saff, Edward Barry., Author.

Snider, Arthur David., Author.

Series:

Springer Undergraduate Mathematics Series, 2197-4144

Language:

English

Subjects (All):

Algebras, Linear.

Engineering mathematics.

Linear Algebra.

Engineering Mathematics.

Local Subjects:

Linear Algebra.

Engineering Mathematics.

Physical Description:

1 online resource (XI, 392 p. 64 illus., 31 illus. in color.)

Edition:

2nd ed. 2025.

Place of Publication:

Cham : Springer Nature Switzerland : Imprint: Springer, 2025.

Summary:

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.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

3-031-97222-8

OCLC:

1531441223