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Item #:
102685931
Linear Algebra Done Right (Undergraduate Texts in Mathematics)
Item #:
102685931
NZD 273
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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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What Stands Out
Clear Exposition
Offers an intuitive approach to linear algebra, making complex concepts easily accessible for undergraduate students, which enhances understanding and retention.
Abstract Focus
Emphasizes abstract vector spaces and linear transformations, preparing students for advanced mathematical thinking and applications beyond standard computational methods.
Comprehensive Exercises
Includes thoughtfully structured problems that reinforce learning, encouraging critical thinking and deeper comprehension of linear algebra concepts, appealing to both self-learners and classroom settings.
Product Details
| 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) |
Who Should Buy?
-
Undergraduate Students
Ideal for students taking linear algebra courses, focusing on abstract concepts and proofs rather than computational techniques.
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Mathematics Majors
Perfect for math majors who need a rigorous approach to linear algebra to prepare for advanced study and research.
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Self-learners
Great for individuals seeking a deep understanding of linear algebra independently, with clear explanations and exercises.
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Beginners
Not suitable for those with no prior knowledge of linear algebra; the book assumes familiarity with mathematical proofs.
Product Description
Linear Algebra Done Right (Undergraduate Texts in Mathematics)
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Customer Questions & Answers
-
Question:
What makes this book different from traditional linear algebra texts?
Answer: It focuses on understanding linear operators first, delaying determinants until later. -
Question:
Who is the target audience for this book?
Answer: It's aimed at undergraduate math majors and graduate students seeking advanced understanding. -
Question:
Does this book include exercises for practice?
Answer: Yes, it features a variety of exercises in each chapter to reinforce learning.
Linear Editorial Review
**** "Linear Algebra Done Right" by Sheldon Axler has garnered both praise and criticism since its publication in 2004. However, many readers have concluded that the book achieves its primary aim: providing a clear understanding of linear algebra concepts, particularly for those looking for an advanced treatment. Axler's approach is notably elegant, emphasizing a determinant-free methodology that many find refreshing. By simplifying notation and reorganizing proofs into useful lemmas, he boosts the readability and comprehension of intricate ideas. The exposition is characterized by clear and concise writing, which effectively motivates students through challenging material. The precision in formatting—including a uniform numbering system for definitions and theorems—enhances the learning experience. Additionally, the margins are well utilized for comments, ensuring that the main text remains focused. Despite its strengths, the book is not without its shortcomings. Some readers expressed a desire for deeper geometric insights, particularly in connection to abstract algebraic concepts. Additionally, while the rigorous nature of the material makes it rewarding, some sections, especially in later chapters, may become dense and challenging, indicating a steep learning curve for readers not already familiar with the topic. Another noteworthy aspect of Axler’s work is the end-of-chapter problems. They present a varied level of difficulty that can challenge even intermediate learners while providing enough accessible exercises to cement understanding. However, the lack of designated markers for the hardest problems could pose a challenge for instructors assigning them. In sum, "Linear Algebra Done Right" stands out as an important text for students seeking a deeper understanding of linear algebra, provided they are aware that it serves best as a second course resource. With its distinctive approach and commendable presentation, it has earned a place among the prominent texts in the field, likely to appeal to those ready to grapple with the theoretical dimensions of linear algebra despite its initial learning curve. **
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Pros
- Elegant and clear exposition that simplifies complex proofs and algorithms
- Determinant-free approach that enhances comprehension
- Impeccable formatting and layout aids reference and clarity
- Abundant problem sets of varied difficulty, promoting engagement and mastery
- Encourages intuitive understanding of abstract concepts
Cons
- Limited geometric insight might deter some learners from fully grasping key concepts
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NZD 273
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Features & Benefits
- 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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