Description
Book Synopsis:
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. – zbMATH The determinant-free proofs are elegant and intuitive. – American Mathematical Monthly The most original linear algebra book to appear in years, it certainly belongs in every undergraduate library – CHOICE Read moreDetails
Looking to expand your knowledge of linear algebra? Look no further than "Linear Algebra Done Right"! This best-selling textbook is the perfect resource for undergraduate math majors and graduate students. With its expanded treatment of the singular value decomposition and its consequences, this fourth edition offers even more valuable content. Plus, it includes a new chapter on multilinear algebra, covering topics like bilinear forms, quadratic forms, tensor products, and determinants. With over 250 new exercises added, you'll have plenty of opportunities to practice and solidify your understanding.
One of the standout features of "Linear Algebra Done Right" is its unique approach to teaching. By banishing determinants to the end of the book, the focus is squarely on understanding the structure of linear operators on finite-dimensional vector spaces. The author has taken extraordinary care to explain concepts and simplify proofs, ensuring that students at all levels can follow along. You'll also appreciate the student-friendly formatting, which makes for an engaging and visually appealing learning experience, whether you're reading the print or electronic version.
Don't worry if you're new to linear algebra—this book requires no prerequisites other than the usual mathematical maturity. It starts with the fundamentals, covering topics like vector spaces, linear independence, span, basis, and dimension. As you progress, you'll delve into linear maps, eigenvalues, eigenvectors, and inner-product spaces. The book culminates with the finite-dimensional spectral theorem and an exploration of the structure of linear operators using generalized eigenvectors.
With its didactic masterpiece of a textbook, "Linear Algebra Done Right" has garnered high praise from experts in the field. It's been hailed as the most original linear algebra book in years and a must-have for undergraduate libraries. So don't miss out on this opportunity to enhance your knowledge and master linear algebra. Start your journey with "Linear Algebra Done Right" today!
Discover More Best Sellers in Mathematics
Shop Mathematics
$8.99
Mathematics - 100 Hard Extreme Dot To Dot Puzzles Book: Exciting And Mindful Dot-To-Dot For Adults- More Than 90 With Christmas, Sports, People, Vehicles, ... And Relaxation (Extreme Dot To Dot Books)
The Tipping Point: How Little Things Can Make a Big Difference
$11.99
Mathematics - The Tipping Point: How Little Things Can Make a Big Difference
Practice Makes Perfect: Algebra II Review and Workbook, Third Edition
$13.12
Mathematics - Practice Makes Perfect: Algebra II Review and Workbook, Third Edition
$6.75
Mathematics - Handwriting Practice Book for Kids Ages 6-10 : Printing workbook for Grades 1, 2 & 3, Learn to Trace Alphabet Letters and Numbers 1-100, Sight Words, ... and Math Drills for Grades 1, 2, 3 & 4)
$3.90
Mathematics - Data Analytics for Absolute Beginners: Make Decisions Using Every Variable: (Introduction to Data, Data Visualization, Business Intelligence & Machine ... Science, Python & Statistics for Beginners)
$28.57
Mathematics - Mastering Essential Math Skills, Book 2: Middle Grades/High School, 3rd Edition: 20 minutes a day to success (Stepping Stones to Proficiency in Algebra)
The Black Swan: Second Edition: The Impact of the Highly Improbable (Incerto Book 2)
$13.99
Mathematics - The Black Swan: Second Edition: The Impact of the Highly Improbable (Incerto Book 2)
