Description
Book Synopsis: This best-selling 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 finite-dimensional 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. 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.
Details
Looking to take your understanding of linear algebra to the next level? Look no further than "Linear Algebra Done Right"! This best-selling textbook is tailored for undergraduate math majors and graduate students, offering a novel approach that banishes determinants to the end of the book. With a focus on understanding the structure of linear operators on finite-dimensional vector spaces, this text will revolutionize the way you approach linear algebra.
What sets "Linear Algebra Done Right" apart is the author's dedication to motivating concepts and simplifying proofs. With a multitude of interesting exercises in each chapter, you'll have ample opportunities to fully grasp and manipulate the fundamental concepts of linear algebra. Plus, the third edition brings major improvements and revisions, including over 300 new exercises and additional examples to illustrate key ideas.
Not only does "Linear Algebra Done Right" provide comprehensive coverage of vector spaces, linear maps, eigenvalues, and eigenvectors, but it also introduces inner-product spaces and explores advanced topics like product spaces, quotient spaces, and dual spaces. This textbook truly equips you with the tools to expand your understanding of linear algebra and apply it to real-world problems.
Experience the difference in learning with "Linear Algebra Done Right"! With its beautiful new formatting, both in print and electronic versions, the pages come to life with an unusually pleasant appearance. No prerequisites are assumed, other than a suitable level of mathematical maturity. So whether you're a beginner or an experienced math enthusiast, this book is your gateway to mastering linear algebra.
Ready to take your mathematical journey to new heights? Embrace the world of linear algebra with "Linear Algebra Done Right" today!
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