Advanced Linear Algebra:With an Introduction to Module Theory '23

著者：Chang, Shou-Te

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手配先：海外仕入UK他

• 現地価格：$88
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手配先：海外仕入USA

• 現地価格：$88
• お届けまでの予想日数： 2週間～3週間
• 在庫数：183
• 組合員価格：¥15,390 (税込)

内容の説明

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.Basically, there are two parts in 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. Tensor product of modules are also briefly discussed.

登録情報

商品コード：1036020472
出版社: World Scientific Publishing Co., Pte. Ltd.
出版年月: 2024/01
ISBN-10: 9811276358
ISBN-13: 978-981-1276-35-4
出版国: シンガポール
装丁: hardcover/Geb./rel.
媒体: 冊子
ページ数: 276 p.
ジャンル: 代数学