Advanced Linear Algebra
This is a graduate textbook covering an especially broad range of topics. The first part of the book contains a careful but rapid discussion of the basics of linear algebra, including vector spaces, linear transformations, quotient spaces, and isomorphism theorems. The author then proceeds to modules, emphasizing a comparison with vector spaces. A thorough discussion of inner product spaces, eigenvalues, eigenvectors, and finite dimensional spectral theory follows, culminating in the finite dimensional spectral theorem for normal operators. The second part of the book is a collection of topics, including metric vector spaces, metric spaces, Hilbert spaces, tensor products, and affine geometry. The last chapter discusses the umbral calculus, an area of modern algebra with important applications.
For the third edition, the author has:
* added a new chapter on associative algebras that includes the well known characterizations of the finite-dimensional division algebras over the real field (a theorem of Frobenius) and over a finite field (Wedderburn's theorem);
* polished and refined some arguments (such as the discussion of reflexivity, the rational canonical form, best approximations and the definitions of tensor products);
* upgraded some proofs that were originally done only for finite-dimensional/rank cases;
* added new theorems, including the spectral mapping theorem and a theorem to the effect that, dim(V)
* corrected all known errors;
* the reference section has been enlarged considerably, with over a hundred references to books on linear algebra.
From the reviews of the second edition:
"In this 2nd edition, the author has rewritten the entire book and has added more than 100 pages of new materials. ... As in the previous edition, the text is well written and gives a thorough discussion of many topics of linear algebra and related fields. ... the exercises are rewritten and expanded. ... Overall, I found the book a very useful one. ... It is a suitable choice as a graduate text or as a reference book."
- Ali-Akbar Jafarian, ZentralblattMATH
"This is a formidable volume, a compendium of linear algebra theory, classical and modern ... . The development of the subject is elegant ... . The proofs are neat ... . The exercise sets are good, with occasional hints given for the solution of trickier problems. ... It represents linear algebra and does so comprehensively."
-Henry Ricardo, MathDL
Stochastic Aspects of Classical and Quantum Systems: Proceedings of the 2nd French-German Encounter in Mathematics and Physics, Held in Marseille, France, March 28-April 1, 1983
Stochastic Aspects of Classical and Quantum Systems: Proceedings of the 2nd French-German Encounter in Mathematics and Physics, Held in Marseille, France, March 28-April 1, 1983 a été écrit par Array qui connu comme un auteur et ont écrit beaucoup de livres intéressants avec une grande narration. Stochastic Aspects of Classical and Quantum Systems: Proceedings of the 2nd French-German Encounter in Mathematics and Physics, Held in Marseille, France, March 28-April 1, 1983 a été l'un des livres de populer sur 2019. Il contient 227 pages. Ce livre a été très surpris en raison de sa note top et a obtenu environ best avis des utilisateurs. Donc, après avoir terminé la lecture de ce livre, je recommande aux lecteurs de ne pas sous-estimer ce grand livre. Vous devez prendre Stochastic Aspects of Classical and Quantum Systems: Proceedings of the 2nd French-German Encounter in Mathematics and Physics, Held in Marseille, France, March 28-April 1, 1983 que votre liste de lecture ou vous serez regretter parce que vous ne l'avez pas lu encore dans votre vie.
The Eye of Minds (The Mortality Doctrine, Book One)
From James Dashner, author of the #1 New York Times bestselling Maze Runner series, comes the first book in the bestselling Mortality Doctrine series, an edge-of-your-seat cyber-adventure trilogy that includes The Rule of Thoughts and The Game of Lives.
Includes a sneak peek of The Fever Code, the highly anticipated conclusion to the Maze Runner series—the novel that finally reveals how the Maze was built!
The VirtNet offers total mind and body immersion, and the more hacking skills you have, the more fun it is. Why bother following the rules when it’s so easy to break them? But some rules were made for a reason. Some technology is too dangerous to fool with. And one gamer has been doing exactly that, with murderous results.
The government knows that to catch a hacker, you need a hacker. And they’ve been watching Michael. If he accepts their challenge, Michael will need to go off the VirtNet grid, to the back alleys and corners of the system human eyes have never seen—and it’s possible that the line between game and reality will be blurred forever.
Praise for the Mortality Doctrine Series:
“Dashner takes full advantage of the Matrix-esque potential for asking ‘what is real.’” —io9.com
“Set in a world taken over by virtual reality gaming, the series perfectly capture[s] Dashner’s hallmarks for inventiveness, teen dialogue and an ability to add twists and turns like no other author.” —MTV.com
“A brilliant, visceral, gamified mash-up of The Matrix and Inception, guaranteed to thrill even the non-gaming crowd.” —Christian Science Monitor