A Concise Text on Advanced Linear Algebra-Cambridge University Press (2015).pdf {Charm-Quark}seeders: 27
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DescriptionA Concise Text on Advanced Linear Algebra Title : A Concise Text on Advanced Linear Algebra Author : Yisong Yang ISBN : 1107456819, 9781107456815, 1107087511, 9781107087514 Publisher : Cambridge University Press pages : 333  Book Description : 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. Contents : 1. Vector spaces 2. Linear mappings 3. Determinants 4. Scalar products 5. Real quadratic forms and self-adjoint mappings 6. Complex quadratic forms and self-adjoint mappings 7. Jordan decomposition 8. Selected topics 9. Excursion: quantum mechanics in a nutshell Solutions to selected problems Bibliographic notes References Index. ------------------------------------------------------------------------------------------------------------------ I share scientific, mathematical and self-help ebooks/textbooks to help students and curious minds. If you like my uploads/torrents then support me by seeding, sharing, commenting and rating :) https://kickass.so/user/Charm-Quark/uploads/ P.S. If you like this eBook, then please support the author(s) by buying it :) ------------------------------------------------------------------------------------------------------------------ Sharing Widget |