Advanced Linear Algebra With An Introduction To Module Theory is popular PDF and ePub book, written by Shou-te Chang in 2024-01-24, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Advanced Linear Algebra With An Introduction To Module Theory can be Read Online from any device for your convenience.
Advanced Linear Algebra With An Introduction To Module Theory Book PDF Summary
Certain essential concepts in linear algebra cannot be fully explained in a first course. This is due to a lack of algebraic background for most beginning students. On the other hand, these concepts are taken for granted in most of the mathematical courses at graduate school level. This book will provide a gentle guidance for motivated students to fill the gap. It is not easy to find other books fulfilling this purpose. This book is a suitable textbook for a higher undergraduate course, as well as for a graduate student's self-study. The introduction of set theory and modules would be of particular interest to students who aspire to becoming algebraists.There are three parts to this book. One is to complete the discussion of bases and dimension in linear algebra. In a first course, only the finite dimensional vector spaces are treated, and in most textbooks, it will assume the scalar field is the real number field. In this book, the general case of arbitrary dimension and arbitrary scalar fields is examined. To do so, an introduction to cardinality and Zorn's lemma in set theory is presented in detail. The second part is to complete the proof of canonical forms for linear endomorphisms and matrices. For this, a generalization of vector spaces, and the most fundamental results regarding modules are introduced to readers. This will provide the natural entrance into a full understanding of matrices. Finally, tensor products of vector spaces and modules are briefly discussed.
Detail Book of Advanced Linear Algebra With An Introduction To Module Theory PDF
- Author : Shou-te Chang
- Release : 24 January 2024
- Publisher : World Scientific
- ISBN : 9789811276378
- Genre : Mathematics
- Total Page : 275 pages
- Language : English
- PDF File Size : 12,7 Mb
If you're still pondering over how to secure a PDF or EPUB version of the book Advanced Linear Algebra With An Introduction To Module Theory by Shou-te Chang, don't worry! All you have to do is click the 'Get Book' buttons below to kick off your Download or Read Online journey. Just a friendly reminder: we don't upload or host the files ourselves.