Linear Algebra Done Right (Undergraduate Texts in Mathematics),New

Linear Algebra Done Right (Undergraduate Texts in Mathematics),New

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This bestselling textbook for a second course in linear algebra is aimed at undergrad math majors and graduate students. 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 finitedimensional vector spaces. The author has taken unusual care to motivate concepts and to simplify proofs. A variety of interesting exercises in each chapter helps students understand and manipulate the objects of linear algebra.The third edition contains major improvements and revisions throughout the book. More than 300 new exercises have been added since the previous edition. Many new examples have been added to illustrate the key ideas of linear algebra. New topics covered in the book include product spaces, quotient spaces, and dual spaces. Beautiful new formatting creates pages with an unusually pleasant appearance in both print and electronic versions.No prerequisites are assumed other than the usual demand for suitable mathematical maturity. Thus the text starts by discussing vector spaces, linear independence, span, basis, and dimension. The book then deals with linear maps, eigenvalues, and eigenvectors. Innerproduct spaces are introduced, leading to the finitedimensional spectral theorem and its consequences. Generalized eigenvectors are then used to provide insight into the structure of a linear operator.

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Frequently Asked Questions

  • Q: What is the main focus of 'Linear Algebra Done Right'? A: The main focus of 'Linear Algebra Done Right' is to understand the structure of linear operators on finite-dimensional vector spaces, moving away from traditional emphasis on determinants.
  • Q: Who is the target audience for this textbook? A: 'Linear Algebra Done Right' is aimed primarily at undergraduate mathematics majors and graduate students seeking a deeper understanding of linear algebra.
  • Q: What are the key topics covered in this textbook? A: Key topics include vector spaces, linear independence, bases, linear maps, eigenvalues, eigenvectors, inner-product spaces, and the finite-dimensional spectral theorem.
  • Q: Does this textbook contain exercises for practice? A: Yes, the third edition includes over 300 new exercises designed to help students understand and manipulate concepts in linear algebra.
  • Q: What edition is this book and when was it published? A: This is the third edition of 'Linear Algebra Done Right', published on December 18, 2014.
  • Q: What is the binding type of this textbook? A: 'Linear Algebra Done Right' is available in hardcover binding, providing durability for frequent use.
  • Q: Are there any prerequisites for reading this book? A: No specific prerequisites are assumed, but readers should have suitable mathematical maturity to grasp the concepts discussed.
  • Q: What improvements are made in the third edition compared to previous editions? A: The third edition features major revisions, new examples, additional topics like product spaces and dual spaces, and improved formatting for better readability.
  • Q: How many pages does this textbook have? A: 'Linear Algebra Done Right' consists of 357 pages, providing a comprehensive overview of linear algebra concepts.
  • Q: Who is the author of this book? A: The textbook is authored by Sheldon Axler, known for his clear and motivating approach to teaching linear algebra.