Ebook: Handbook of Linear Algebra, Second Edition
Author: Leslie Hogben
- Tags: Applied Biomathematics Differential Equations Game Theory Graph Linear Programming Probability Statistics Stochastic Modeling Vector Analysis Mathematics Science Math Algebra Pure Trigonometry New Used Rental Textbooks Specialty Boutique
- Series: Discrete Mathematics and Its Applications
- Year: 2013
- Publisher: Chapman and Hall/CRC
- Edition: 2
- Language: English
- pdf
With a substantial amount of new material, the Handbook of Linear Algebra, Second Edition provides comprehensive coverage of linear algebra concepts, applications, and computational software packages in an easy-to-use format. It guides you from the very elementary aspects of the subject to the frontiers of current research. Along with revisions and updates throughout, the second edition of this bestseller includes 20 new chapters.
New to the Second Edition
- Separate chapters on Schur complements, additional types of canonical forms, tensors, matrix polynomials, matrix equations, special types of matrices, generalized inverses, matrices over finite fields, invariant subspaces, representations of quivers, and spectral sets
- New chapters on combinatorial matrix theory topics, such as tournaments, the minimum rank problem, and spectral graph theory, as well as numerical linear algebra topics, including algorithms for structured matrix computations, stability of structured matrix computations, and nonlinear eigenvalue problems
- More chapters on applications of linear algebra, including epidemiology and quantum error correction
- New chapter on using the free and open source software system Sage for linear algebra
- Additional sections in the chapters on sign pattern matrices and applications to geometry
- Conjectures and open problems in most chapters on advanced topics
Highly praised as a valuable resource for anyone who uses linear algebra, the first edition covered virtually all aspects of linear algebra and its applications. This edition continues to encompass the fundamentals of linear algebra, combinatorial and numerical linear algebra, and applications of linear algebra to various disciplines while also covering up-to-date software packages for linear algebra computations.