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A concise text on advanced linear al...

Yang, Yisong.

A concise text on advanced linear algebra[electronic resource] /

紀錄類型:	書目-電子資源 : Monograph/item
杜威分類號:	512.5
書名/作者:	A concise text on advanced linear algebra/ Yisong Yang.
作者:	Yang, Yisong.
出版者:	Cambridge : : Cambridge University Press,, 2015.
面頁冊數:	xiii, 318 p. : : ill., digital ;; 24 cm.
標題:	Algebras, Linear
標題:	Algebras, Linear - Study and teaching (Higher)
標題:	Algebras, Linear - Study and teaching (Graduate)
ISBN:	9781316103845
ISBN:	9781107087514
ISBN:	9781107456815
摘要、提要註:	This engaging textbook for advanced undergraduate students and beginning graduates covers the core subjects in linear algebra. The author motivates the concepts by drawing clear links to applications and other important areas, such as differential topology and quantum mechanics. The book places particular emphasis on integrating ideas from analysis wherever appropriate. For example, the notion of determinant is shown to appear from calculating the index of a vector field which leads to a self-contained proof of the Fundamental Theorem of Algebra, and the Cayley-Hamilton theorem is established by recognizing the fact that the set of complex matrices of distinct eigenvalues is dense. The material is supplemented by a rich collection of over 350 mostly proof-oriented exercises, suitable for students from a wide variety of backgrounds. Selected solutions are provided at the back of the book, making it suitable for self-study as well as for use as a course text.
電子資源:	https://doi.org/10.1017/CBO9781316103845

A concise text on advanced linear algebra[electronic resource] /
Yang, Yisong.

A concise text on advanced linear algebra[electronic resource] /Yisong Yang. - Cambridge :Cambridge University Press,2015. - xiii, 318 p. :ill., digital ;24 cm.

This engaging textbook for advanced undergraduate students and beginning graduates covers the core subjects in linear algebra. The author motivates the concepts by drawing clear links to applications and other important areas, such as differential topology and quantum mechanics. The book places particular emphasis on integrating ideas from analysis wherever appropriate. For example, the notion of determinant is shown to appear from calculating the index of a vector field which leads to a self-contained proof of the Fundamental Theorem of Algebra, and the Cayley-Hamilton theorem is established by recognizing the fact that the set of complex matrices of distinct eigenvalues is dense. The material is supplemented by a rich collection of over 350 mostly proof-oriented exercises, suitable for students from a wide variety of backgrounds. Selected solutions are provided at the back of the book, making it suitable for self-study as well as for use as a course text.

ISBN: 9781316103845Subjects--Topical Terms:

195984
Algebras, Linear

LC Class. No.: QA184.2 / .Y36 2015

Dewey Class. No.: 512.5

A concise text on advanced linear algebra[electronic resource] /
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245 1 2 $a A concise text on advanced linear algebra $h [electronic resource] / $c Yisong Yang.
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300 $a xiii, 318 p. : $b ill., digital ; $c 24 cm.
520 $a This engaging textbook for advanced undergraduate students and beginning graduates covers the core subjects in linear algebra. The author motivates the concepts by drawing clear links to applications and other important areas, such as differential topology and quantum mechanics. The book places particular emphasis on integrating ideas from analysis wherever appropriate. For example, the notion of determinant is shown to appear from calculating the index of a vector field which leads to a self-contained proof of the Fundamental Theorem of Algebra, and the Cayley-Hamilton theorem is established by recognizing the fact that the set of complex matrices of distinct eigenvalues is dense. The material is supplemented by a rich collection of over 350 mostly proof-oriented exercises, suitable for students from a wide variety of backgrounds. Selected solutions are provided at the back of the book, making it suitable for self-study as well as for use as a course text.
650 0 $a Algebras, Linear $3 195984
650 0 $a Algebras, Linear $x Study and teaching (Higher) $3 711570
650 0 $a Algebras, Linear $x Study and teaching (Graduate) $3 711571
856 4 0 $u https://doi.org/10.1017/CBO9781316103845

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