September 21, 2016
Textbook - 600 Pages - 59 B/W Illustrations
ISBN 9781498756617
Series: Chapman & Hall/CRC Texts in Statistical Science
Provides an introduction to stochastic modeling and analysis for students of operations research and engineering.
Updated with additional topics, references, examples and exercises.
Includes lots of real examples to illustrate the topics.
Includes lots of exercises with a solutions manual for instructors.
Includes MATLAB programs for all the methods.
This practical and accessible text enables readers from operations research, business, engineering, public policy and computer science to analyze stochastic systems. It presents the major cases of stochastic processes ? discrete and continuous-time Markov chains, renewal processes, regenerative processes, and Markov regenerative processes. This third edition has been updated with many improvements and corrections, the latest references, additional topics - including designing large scale systems and fluid models - and additional examples and exercises.
Introduction; Discrete-Time Markov Chains: Transient Behavior; Discrete-Time Markov Chains: First Passage Times; Discrete-Time Markov Chains: Limiting Behavior; Poisson Processes; Continuous-Time Markov Chains; Queueing Models; Renewal Processes; Markov Regenerative Processes; Diffusion Processes; Appendices.
February 15, 2017
Reference - 325 Pages - 30 B/W Illustrations
ISBN 9781498796019 -
Series: Monographs and Research Notes in Mathematics
Self-contained, requiring basic knowledge of commutative algebra and algebraic geometry
Written in a user-friendly language, summing up and explaining the lifelong work of O. Arnfinn Laudal to a wider audience
Studies the categorical construction of schemes, and makes the explicit definition of a noncommutative scheme possible without special localization projects
Gives new theoretical information to already existing constructions
The existing theory of noncommutative geometry can be understood better and applied following the book
Deformation theory is used as a tool for studying the structure of moduli schemes in geometry by many mathematicians and physicists. Mainly, the structure of the obstruction groups and their vanishing is used for smoothness properties, but there is a need to find the structure of the singularities in moduli spaces as well. This can only be achieved by constructing the singularities, and this can be done by the deformation theory studied in this book, in particular in the study of liftings by generalized matric Massey products.
1. Introduction. 2. Preliminaries. 2.1 Notation and terminology. 2.2 Commutative deformation theory. 2.3 Noncommutative algebra. 2.4 Simple modules. 3. Noncommutative Deformation Theory. 3.1 Noncommutative Deformations. 3.2 Obstruction Theory. 3.3 The Semi-local Formal Moduli and Generalized Matric Massey Products 3.4 The Generalized Burnsidefs Theorem. 3.5 Application to Beilinson theory. 3.6 Deformation due to Diagrams. 4. Noncommutative Schemes. 4.1 Review of Existing theory. 4.2 The Scheme of Simple Modules Simp-infty. 4.3 Noncommutative Schemes and the Serre Theorem. 4.4 Noncommutative Varieties. 4.5 Phase spaces Ph(A)
March 26, 2017
Reference - 600 Pages - 400 B/W Illustrations
ISBN 9781498738910
Series: Discrete Mathematics and Its Applications
A comprehensive reference handbook authored by the top researchers
Fundamentals and techniques from multiple perspectives that span several research communities
Recent results and graded program of open problems and conjectures
Can be used for senior undergraduate or graduate topics course introduction to the area
Finite configurations of geometric primitives under local metric and algebraic constraints arise in many situations in mathematics as well as in engineering and science applications. The former situations result in multiple perspectives, tools and techniques from algebraic geometry and topology; from combinatorics; from finite metric spaces, asymptotic geometry and convex analysis; and from complexity. The latter situations give rise to fresh new problems and directions.
March 15, 2017
Reference - 200 Pages - 10 B/W Illustrations
ISBN 9781498796163
Series: Monographs and Research Notes in Mathematics
Contains a survey of matrix inequalities in terms of trace, norms, and majorizations
Discusses algebraic structures of semi-simple Lie groups and Lie algebras
Considers extensions of the matrix inequalities in Lie groups in terms of Kostantfs pre-order.
Matrix Inequalities and Their Extensions in Lie Groups gives a systematic and updated account of recent important extensions of classical matrix results, especially matrix inequalities, in the context of Lie groups.It is the first systematic work in the area and will appeal to linear algebraists and Lie group researchers.
Review of Matrix Theory. Matrix Decompositions. Majorizations. Matrix Norms. Compound Matrix and Some Applications.
Algebraic Structure Theory of Semisimple Lie Groups. Smooth Manifolds. Lie Groups and Their Lie Algebras. Complex Semisimple Lie Algebras. Cartan Decomposition. KA+K Decomposition. Root Space Decomposition and Iwasawa Decomposition. Weyl Groups. Complete Multiplicative Jordan Decomposition. Kostant's Pre-order.
Inequalities for Matrix Exponentials. The Matrix Exponential Map. Golden-Thompson Inequality. Araki-Lieb-Thirring Inequalities. Heinz Inequalities. Bernstein Inequalities. Further Exponential Inequalities. Extensions in Lie Groups.
Inequalities for Spectral Norm. Heinz Inequalities and Their Generalizations. Extensions to Lie Groups.
Inequalities for Unitarily Invariant Norms. Matrix Inequalities for Unitarily Invariant Norms. Extensions to Lie Groups.
Inequalities for Geometric Means and Spectral Means. Introduction. Symmetric spaces. Inequalities for Geometric Means. Geodesic triangle.
April 15, 2017
Reference - 300 Pages - 50 B/W Illustrations
ISBN 9781498722902
Series: Monographs and Research Notes in Mathematics
Offers the first self-contained overview of many algorithms that have appeared for linear algebraic groups
Gives an idea of the practicality of certain algorithms by including examples that contain the runtimes of the employed algorithms
Includes many examples throughout the book
Provides access to MAGMA code
This book gives a reasonably self-contained account of a number of algorithmic problems and their solutions for linear algebraic groups. The theory underpinning the algorithms is described as well. Topics include closed sets in affine space, lie algebras, linear algebraic groups?basic constructions, algebraic groups and their lie algebras in characteristic zero, arithmetic groups, reductive algebraic groups, and ?-groups.
Closed Sets in Affine Space. Lie Algebras. Linear Algebraic Groups: Basic Constructions. Algebraic groups and their Lie algebras in characteristic zero. Arithmetic groups. Reductive algebraic groups. Æ-groups.