A concise text on advanced linear algebra:
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 part...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2015
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xiii, 318 pages) |
| ISBN: | 9781316103845 |
| DOI: | 10.1017/CBO9781316103845 |
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Datensatz im Suchindex
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| author | Yang, Yisong |
| author_facet | Yang, Yisong |
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| building | Verbundindex |
| bvnumber | BV043940393 |
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| dewey-full | 512/.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.5 |
| dewey-search | 512/.5 |
| dewey-sort | 3512 15 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9781316103845 |
| format | Electronic eBook |
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| id | DE-604.BV043940393 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:13Z |
| institution | BVB |
| isbn | 9781316103845 |
| language | English |
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| physical | 1 online resource (xiii, 318 pages) |
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| publishDate | 2015 |
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| publisher | Cambridge University Press |
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| spelling | Yang, Yisong Verfasser aut A concise text on advanced linear algebra Yisong Yang, Polytechnic school of Engineering, New York University Cambridge Cambridge University Press 2015 1 online resource (xiii, 318 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 Algebras, Linear / Textbooks Algebras, Linear / Study and teaching (Higher) Algebras, Linear / Study and teaching (Graduate) Erscheint auch als Druckausgabe 978-1-107-08751-4 Erscheint auch als Druckausgabe 978-1-107-45681-5 https://doi.org/10.1017/CBO9781316103845 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Yang, Yisong A concise text on advanced linear algebra Algebras, Linear / Textbooks Algebras, Linear / Study and teaching (Higher) Algebras, Linear / Study and teaching (Graduate) |
| title | A concise text on advanced linear algebra |
| title_auth | A concise text on advanced linear algebra |
| title_exact_search | A concise text on advanced linear algebra |
| title_full | A concise text on advanced linear algebra Yisong Yang, Polytechnic school of Engineering, New York University |
| title_fullStr | A concise text on advanced linear algebra Yisong Yang, Polytechnic school of Engineering, New York University |
| title_full_unstemmed | A concise text on advanced linear algebra Yisong Yang, Polytechnic school of Engineering, New York University |
| title_short | A concise text on advanced linear algebra |
| title_sort | a concise text on advanced linear algebra |
| topic | Algebras, Linear / Textbooks Algebras, Linear / Study and teaching (Higher) Algebras, Linear / Study and teaching (Graduate) |
| topic_facet | Algebras, Linear / Textbooks Algebras, Linear / Study and teaching (Higher) Algebras, Linear / Study and teaching (Graduate) |
| url | https://doi.org/10.1017/CBO9781316103845 |
| work_keys_str_mv | AT yangyisong aconcisetextonadvancedlinearalgebra |