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Elementary Linear Algebra with Applications : MATLAB, Mathematica and Maplesoft(tm) / George Nakos.
- Format:
- Book
- Author/Creator:
- Nakos, George, 1954- author.
- Series:
- De Gruyter textbook.
- De Gruyter Textbook Series
- Language:
- English
- Subjects (All):
- Algebras, Linear--Data processing.
- Algebras, Linear.
- Mathematica (Computer program language).
- Matrices.
- Orthogonalization methods.
- Vector algebra.
- Vector spaces.
- MATLAB.
- Physical Description:
- 1 online resource (XXVIII, 672 p.)
- Edition:
- First edition.
- Place of Publication:
- Berlin : Walter de Gruyter GmbH, [2024]
- Language Note:
- In English.
- Summary:
- This text offers a unique balance of theory and a variety of standard and new applications along with solved technology-aided problems. The book includes the fundamental mathematical theory, as well as a wide range of applications, numerical methods, projects, and technology-assisted problems and solutions in Maple, Mathematica, and MATLAB. Some of the applications are new, some are unique, and some are discussed in an essay. There is a variety of exercises which include True/False questions, questions that require proofs, and questions that require computations. The goal is to provide the student with is a solid foundation of the mathematical theory and an appreciation of some of the important real-life applications. Emphasis is given on geometry, matrix transformations, orthogonality, and least-squares. Designed for maximum flexibility, it is written for a one-semester/two semester course at the sophomore or junior level for students of mathematics or science.
- Contents:
- Frontmatter
- Preface
- Acknowledgment
- Contents
- 1 Linear systems
- 2 Vectors
- 3 Matrices
- 4 Vector spaces
- 5 Linear transformations
- 6 Determinants
- 7 Eigenvalues
- 8 Orthogonality and least squares
- 9 Quadratic forms, SVD, wavelets
- A Introduction to complex numbers
- B Uniqueness of RREF
- Answers to selected exercises
- Bibliography
- Index of Applications
- Index
- Notes:
- Description based on online resource; title from PDF title page (publisher's Web site, viewed 02. Jun 2024)
- Description based on print version record.
- Includes bibliographical references and index.
- ISBN:
- 3-11-133185-7
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