Elements Of Linear And Multilinear Algebra

These notes are an activity-oriented introduction to linear and multilinear algebra, designed to convince beginners that the subject is accessible. They are intended to accompany an academic year-long course at the advanced undergraduate or beginning graduate level and can also be used for a lecture-style class. The text has tried to keep the facts about vector spaces and inner product spaces separate.

\n Format: Hardback
\n Length: 236 pages
\n Publication date: 14 January 2021
\n Publisher: World Scientific Publishing Co Pte Ltd
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These comprehensive notes serve as an engaging introduction to linear and multilinear algebra, designed to empower beginners with a solid understanding of the subject. The majority of the fundamental results in these fields are straightforward and readily verifiable by diligent students, serving as the primary objective of these notes. Indeed, it is the aim of these notes to instill confidence in the novice that linear and multilinear algebra is accessible and within reach. Throughout the subsequent material, numerous indicators encourage active reader participation, including terms such as proposition, example, theorem, exercise, and corollary. Unless accompanied by a proof or a reference to a proof, these words serve as invitations to verify the assertions made.

These notes are meticulously crafted to accompany an academic year-long course, ideally suited for advanced undergraduate students or early graduate students. With judicious pruning, most of the content can be covered in a two-term sequence. Additionally, the text is well-suited for a lecture-style class, with the instructor proving some results while leaving others as exercises for the students to engage with.

To enhance clarity and organization, this book has attempted to maintain a clear distinction between the facts related to vector spaces and those concerning inner product spaces. Many introductory linear algebra texts tend to conflate these two vastly different subjects, which can lead to confusion for beginners. By separating the material, this book aims to provide a clearer and more focused learning experience.

In conclusion, these notes offer a comprehensive and accessible introduction to linear and multilinear algebra, designed to empower beginners and facilitate their understanding of the subject. With its clear explanations, examples, and exercises, this text is an invaluable resource for students embarking on their journey into the world of algebra.

\n Weight: 492g\n
Dimension: 158 x 237 x 20 (mm)\n
ISBN-13: 9789811222726\n \n