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Linear Algebra Done Right (Undergraduate Texts in Mathematics)
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Linear Algebra Done Right (Undergraduate Texts in Mathematics)
Altogether, the text is a didactic masterpiece.
Linear Algebra Done Right (Undergraduate Texts in Mathematics)
Item #: 81422874

Linear Algebra Done Right (Undergraduate Texts in Mathematics)

90% of respondents would recommend this to a friend

Item #: 81422874

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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

Shop Linear Algebra Done Right (Undergraduate Texts in Mathematics) online at a best price in Guernsey. 3031410254
  • 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?

Suitable For
  • 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.

Not Suitable For
  • Beginners in Math

    Not suitable for those without prior mathematical background as it assumes some level of understanding.

Product Description

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Customer Questions & Answers

  • Question: What topics does 'Linear Algebra Done Right' cover?

    Answer: The book focuses primarily on linear algebra concepts such as vector spaces, linear transformations, eigenvalues, and the spectral theorem. It emphasizes the abstract theory of linear algebra, offering a deep understanding of the subject. This makes it invaluable for students in mathematics, engineering, and related fields as it strengthens foundational skills for advanced topics.
  • Question: Who is the author of 'Linear Algebra Done Right'?

    Answer: The book is authored by Sheldon Axler, a prominent mathematician known for his expertise in linear algebra. His approach to the subject is highly regarded for its clarity and rigor, making this text suitable for both undergraduate and graduate-level courses. Axler's teaching experience influences the structure and clarity of the material presented.
  • Question: Is 'Linear Algebra Done Right' suitable for self-study?

    Answer: Yes, the book is well-suited for self-study due to its clear explanations and structured approach to topics. Each chapter builds on previous concepts, allowing readers to gradually deepen their understanding. It's especially beneficial for students preparing for exams or those seeking a deeper grasp of linear algebra outside a classroom setting.
  • Question: What distinguishes this edition of 'Linear Algebra Done Right'?

    Answer: The Fourth Edition introduces updated examples and exercises that reflect current teaching practices and trends in mathematical research. It maintains the rigorous approach of prior editions while enhancing clarity, making it more accessible. New sections may include additional applications and insights, making it relevant for modern learners.
  • Question: What is the target audience for this textbook?

    Answer: The target audience includes undergraduate mathematics majors and advanced high school students, as well as graduate students in various fields. It's particularly useful for those intending to pursue mathematics or related disciplines, as it lays a strong theoretical foundation that is critical for advanced studies in mathematics.
  • Question: Can 'Linear Algebra Done Right' help me with understanding advanced mathematical concepts?

    Answer: Absolutely. The book focuses on core principles and theoretical aspects of linear algebra, which are essential for grasping more advanced mathematical topics such as differential equations and functional analysis. By mastering the content in this book, you will be better prepared for higher-level coursework and research.
  • Question: Does this textbook include exercises and solutions?

    Answer: Yes, 'Linear Algebra Done Right' contains a variety of exercises at the end of each chapter, which are designed to reinforce the material covered. While some editions might not provide solutions, they encourage critical thinking and problem-solving skills essential for mastering linear algebra concepts. Working through these exercises is highly beneficial for exam preparation.
  • Question: Are there supplementary resources available for this textbook?

    Answer: While 'Linear Algebra Done Right' is comprehensive on its own, there are additional resources like online lecture notes, video lectures, and discussion forums. Many universities offer complementary courses, and platforms such as Khan Academy and Coursera may have relevant modules. These can provide further context and understanding of the concepts.
  • Question: Can I find 'Linear Algebra Done Right' in my local bookstore?

    Answer: It may vary, but many college bookstores and larger chain bookstores might carry this textbook. However, availability can depend on stock levels and local demand. It's advisable to inquire directly with your favorite local bookstore for this title.
  • Question: Where can I buy Linear Algebra Done Right Undergraduate Texts in Mathematics Fourth Edition 2024?

    Answer: You can purchase 'Linear Algebra Done Right' from Ubuy in Guernsey. Ubuy offers a user-friendly shopping experience with various options for this textbook, ensuring you can get your copy conveniently.

Linear Editorial Review

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In a detailed review of the linear algebra textbook, "Linear Algebra Done Right" by Sheldon Axler, customers had mixed experiences with the physical quality of the book itself but praised the content and structure of the material. One user expressed disappointment in the poor printing quality, mentioning that the ink easily smudged and spread on the pages with minimal contact, indicating a significant flaw in the production of the book. Despite this issue, others found the content invaluable, praising Axler's approach to elegant and readable proofs. However, there were contrasting opinions on the technical aspects of the book. Some appreciated the high level of abstraction in the material, making it suitable for understanding not only linear algebra but also mathematics in general. The addition of a new chapter on multilinear algebra in the fourth edition was also highlighted as a positive aspect, along with clear definitions, theorems, and helpful notes throughout the text. Many users commended the book for its brevity, making it a useful reference for undergrad and graduate studies. Overall, while customers had reservations about the physical quality of the book, the majority acknowledged its substantial academic value in teaching linear algebra effectively. The lack of solutions to exercises and the absence of topics such as linear systems of equations were noted as drawbacks by some users. **

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Pros

  • Clear definitions and theorems
  • High level of abstraction aiding understanding of mathematics
  • New chapter on multilinear algebra
  • Useful as a reference work
  • Open access availability supporting the author and students
  • Valuable tasks for conceptual learning

Cons

  • Poor printing quality

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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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