A Concise Text on Advanced Linear Algebra

Nonfiction, Science & Nature, Mathematics, Algebra, Science
Cover of the book A Concise Text on Advanced Linear Algebra by Yisong Yang, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Yisong Yang ISBN: 9781316190029
Publisher: Cambridge University Press Publication: December 4, 2014
Imprint: Cambridge University Press Language: English
Author: Yisong Yang
ISBN: 9781316190029
Publisher: Cambridge University Press
Publication: December 4, 2014
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Scylla by Yisong Yang
Cover of the book Making the Soviet Intelligentsia by Yisong Yang
Cover of the book The Future of African Customary Law by Yisong Yang
Cover of the book Evolutionary Linguistics by Yisong Yang
Cover of the book Cosmic Challenge by Yisong Yang
Cover of the book The Supreme Court and the Attitudinal Model Revisited by Yisong Yang
Cover of the book The Treatment of Drinking Problems by Yisong Yang
Cover of the book The Mammals of the Southern African Sub-region by Yisong Yang
Cover of the book Beyond Politics by Yisong Yang
Cover of the book Society and Discourse by Yisong Yang
Cover of the book Leaders and International Conflict by Yisong Yang
Cover of the book Confucian Democracy in East Asia by Yisong Yang
Cover of the book Advances in Irrigation Agronomy by Yisong Yang
Cover of the book Elementary Syntactic Structures by Yisong Yang
Cover of the book Immigration Detention by Yisong Yang
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy