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81422874
Linear Algebra Done Right (Undergraduate Texts in Mathematics)
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Item #:
81422874
ZAR 1115
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Altogether, the text is a didactic masterpiece.
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What Stands Out
Comprehensive Coverage
This edition offers a thorough exploration of linear algebra concepts, ensuring students grasp complex theories while building a strong mathematical foundation, ideal for undergraduate courses.
Clear Exposition
The text is renowned for its clear and engaging writing style, making difficult topics more accessible to students, thus enhancing their learning experience and understanding of linear algebra.
Updated Examples
Includes modern examples and problems that reflect current applications of linear algebra, ensuring relevance and practical engagement for students, which helps them connect theory with real-world scenarios.
Product Details
- Now available in Open Access, this best-selling textbook for a second course in linear algebra is aimed at undergraduate math majors and graduate students. The fourth edition gives an expanded treatment of the singular value decomposition and its consequences. It includes a new chapter on multilinear algebra, treating bilinear forms, quadratic forms, tensor products, and an approach to determinants via alternating multilinear forms. This new edition also increases the use of the minimal polynomial to provide cleaner proofs of multiple results. Also, over 250 new exercises have been added.The novel approach taken here banishes determinants to the end of the book. The text focuses on the central goal of linear algebra: understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken unusual care to motivate concepts and simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra. Beautiful formatting creates pages with an unusually student-friendly appearance in both print and electronic versions.No prerequisites are assumed other than the usual demand for suitable mathematical maturity. The text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Inner-product spaces are introduced, leading to the finite-dimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator.From the reviews of previous editions:Altogether, the text is a didactic masterpiece. ― zbMATHThe determinant-free proofs are elegant and intuitive. ― American Mathematical MonthlyThe most original linear algebra book to appear in years, it certainly belongs in every undergraduate library ― CHOICE
| Publisher | Springer |
| Publication date | November 20, 2023 |
| Edition | Fourth Edition 2024 |
| Language | English |
| Print length | 407 pages |
| ISBN-10 | 3031410254 |
| ISBN-13 | 978-3031410253 |
| Item Weight | 1.75 pounds (790 grams) |
| Dimensions | 6.25 x 1 x 9.25 inches (15.9 x 2.5 x 23.5 cm) |
| Part of series | Undergraduate Texts in Mathematics |
Who Should Buy?
-
Undergraduate Students
Ideal for students taking linear algebra courses looking for a clear, conceptual understanding of the subject.
-
Self-Learners
Great for individuals studying on their own who benefit from a rigorous approach and detailed explanations.
-
Math Majors
Highly beneficial for mathematics majors needing a strong foundation in linear algebra concepts for advanced studies.
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Beginners in Math
Not suitable for those without prior mathematical background as it assumes some level of understanding.
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Features & Benefits
- Expanded treatment of singular value decomposition
- New chapter on multilinear algebra
- Increased use of minimal polynomial for cleaner proofs
- Over 250 new exercises added
- Focuses on understanding the structure of linear operators on finite-dimensional vector spaces
- Unusually student-friendly formatting
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