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Linear Algebra Done Right (Undergraduate Texts in Mathematics)
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Banishing determinants to the end of the book, this text focuses on understanding the structure of linear operators on vector spaces.
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Dettagli del prodotto
| Publisher | Springer |
| Publication date | June 2, 2010 |
| Edition | 2nd Edition |
| Language | English |
| Print length | 251 pages |
| ISBN-10 | 0387982582 |
| ISBN-13 | 978-0387982588 |
| Item Weight | 1.1 pounds (500 grams) |
| Dimensions | 7.5 x 0.62 x 9.25 inches (19.1 x 1.6 x 23.5 cm) |
DESCRIZIONE DEL PRODOTTO
Linear Algebra Done Right (Undergraduate Texts in Mathematics)
Domande e risposte dei clienti
-
Domanda:
What topics are covered in Linear Algebra Done Right?
Risposta: Linear Algebra Done Right focuses primarily on vector spaces and linear transformations, emphasizing the theoretical aspects over computation. It covers eigenvalues, eigenvectors, and inner product spaces, providing a deep understanding of linear algebra concepts. This book is ideal for students who want to grasp the underlying principles of the subject rather than just methods for solving specific problems. For example, if you are studying for a theoretical mathematics course, this text will help you appreciate the theoretical framework that governs linear algebra. -
Domanda:
Who is the author of Linear Algebra Done Right?
Risposta: Linear Algebra Done Right is authored by Sheldon Axler, a prominent mathematician known for his contributions to the field of linear algebra. His unique approach, which minimizes the reliance on determinants, offers a fresh perspective that many readers find enlightening. Understanding Axler's methodology can help students cultivate a more intuitive grasp of linear algebra. This makes it a solid choice for those pursuing advanced studies in mathematics or related fields. -
Domanda:
Is Linear Algebra Done Right suitable for self-study?
Risposta: Yes, Linear Algebra Done Right is highly suitable for self-study. The book is structured with clear explanations and well-defined concepts that allow readers to progress at their own pace. Additionally, the exercises provided reinforce understanding and application. Many self-learners have reported that the concise chapters facilitate comprehension, making it an excellent resource for independent study of linear algebra, especially for those preparing for academic assessments or seeking to deepen their understanding of the subject. -
Domanda:
What makes Linear Algebra Done Right different from other linear algebra texts?
Risposta: Linear Algebra Done Right distinguishes itself by prioritizing conceptual understanding over traditional computational techniques. Unlike many other texts that focus heavily on matrix techniques, Axler's book emphasizes vector spaces and transformations, allowing students to gain a stronger theoretical foundation. This difference is particularly beneficial for mathematics majors or those interested in pursuing higher-level theoretical concepts, making it a valuable addition to any academic library focused on mathematical rigor. -
Domanda:
How does Linear Algebra Done Right approach determinants?
Risposta: In Linear Algebra Done Right, Sheldon Axler famously minimizes the use of determinants, arguing that they are not essential for understanding linear algebra's core concepts. Instead, he focuses on linear transformations and eigenvalues, which can be explored without determinants. This approach offers a more streamlined perspective on how linear algebra operates, making it particularly appealing for students who want to delve deep into the nature of linear spaces and mappings. -
Domanda:
Are there any prerequisites for reading Linear Algebra Done Right?
Risposta: While there are no strict prerequisites, a basic understanding of linear algebra concepts can enhance the reading experience of Linear Algebra Done Right. Familiarity with matrices, vectors, and basic algebraic operations can be beneficial. The book is often recommended for upper-level undergraduate students, so having prior exposure to introductory linear algebra will allow readers to engage more effectively with Axler's advanced approach. -
Domanda:
What level of mathematics is Linear Algebra Done Right appropriate for?
Risposta: Linear Algebra Done Right is primarily aimed at upper-undergraduate students, but it is also suitable for graduate students. Its focus on rigorous proofs and theoretical insights makes it appropriate for those studying higher mathematics. If you are pursuing a degree in mathematics, physics, or engineering, this text can help solidify your understanding of linear algebra and its applications in various fields, particularly in theoretical contexts. -
Domanda:
Can Linear Algebra Done Right be used for introductory courses?
Risposta: Linear Algebra Done Right is not typically recommended for introductory courses due to its advanced approach and theoretical focus. It is better suited for students who have completed a basic linear algebra course and wish to explore the subject's deeper aspects. For example, after an introductory course that covers computational techniques, this book can serve as an excellent resource for further studies or to prepare for more advanced mathematics courses. -
Domanda:
Does Linear Algebra Done Right include exercises and solutions?
Risposta: Yes, Linear Algebra Done Right includes numerous exercises designed to test understanding and reinforce concepts introduced in each chapter. While the book does not provide solutions within the text itself, many educators and students work together to tackle the exercises. This practice encourages collaborative learning experiences, making it especially useful for study groups or in academic settings where peer discussions can enhance comprehension of linear algebra topics. -
Domanda:
Where can I buy Linear Algebra Done Right in San Marino?
Risposta: You can purchase Linear Algebra Done Right on Ubuy. They offer various editions of the book, making it convenient to find the version that best meets your needs. Whether you are looking for a hardcover or paperback edition, Ubuy provides a user-friendly platform for shopping and access to product reviews, which can help you make an informed decision.
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Caratteristiche e benefici
- A novel approach to second course in linear algebra for math majors.
- Prioritizes understanding linear operators over traditional methods.
- Includes extensive exercises to enhance comprehension.
- New chapters on diagonal matrices and linear functionals in the second edition.
- Hundreds of improvements for clarity and engagement.
- Simplified proofs that build foundational knowledge effectively.
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