The Mathematical Matrix

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Matrix Mathematics

Author: Dennis S. Bernstein
language: en
Publisher: Princeton University Press
Release Date: 2009-07-06
When first published in 2005, Matrix Mathematics quickly became the essential reference book for users of matrices in all branches of engineering, science, and applied mathematics. In this fully updated and expanded edition, the author brings together the latest results on matrix theory to make this the most complete, current, and easy-to-use book on matrices. Each chapter describes relevant background theory followed by specialized results. Hundreds of identities, inequalities, and matrix facts are stated clearly and rigorously with cross references, citations to the literature, and illuminating remarks. Beginning with preliminaries on sets, functions, and relations,Matrix Mathematics covers all of the major topics in matrix theory, including matrix transformations; polynomial matrices; matrix decompositions; generalized inverses; Kronecker and Schur algebra; positive-semidefinite matrices; vector and matrix norms; the matrix exponential and stability theory; and linear systems and control theory. Also included are a detailed list of symbols, a summary of notation and conventions, an extensive bibliography and author index with page references, and an exhaustive subject index. This significantly expanded edition of Matrix Mathematics features a wealth of new material on graphs, scalar identities and inequalities, alternative partial orderings, matrix pencils, finite groups, zeros of multivariable transfer functions, roots of polynomials, convex functions, and matrix norms. Covers hundreds of important and useful results on matrix theory, many never before available in any book Provides a list of symbols and a summary of conventions for easy use Includes an extensive collection of scalar identities and inequalities Features a detailed bibliography and author index with page references Includes an exhaustive subject index with cross-referencing
The Mathematics of Matrices

Author: Philip J. Davis
language: en
Publisher: Xerox College Publishing
Release Date: 1973
In response to the growth and diversification of adventure programming, the Association for Experiential Education developed an accreditation process that addresses both the fluid nature of adventure programming and the need for specificity in standards. This book describes exemplary administrative practices and policies of accredited adventure programs. Chapter 1 addresses philosophical, educational, and ethical concerns, including mission statements, program principles, environmental ethics, leave-no-trace practices, and access for clients with disabilities. Chapter 2 examines risk management planning and related employee training. Areas covered include health risk assessment, emergency situations, liability, transportation, licenses and permits, and accident guidelines. Sample forms include incident and accident reports; missing/damaged equipment report; leader evaluations of students, biking trips, and leadership training; and hiking route plans. Chapters 3-4 cover staffing certifications and requirements, employment policies and procedures, personnel policies and procedures, and transportation policies. Chapters 5-6 describe technical skills needed by leaders and recommended instructional strategies for various land and water activities: hiking, ropes/challenge courses and problem-solving exercises, orienteering, biking, climbing and rappelling, caving, river crossing, mountaineering, solos, canoeing, and kayaking. The final chapters address service projects, international travel, technology in the wilderness, and third-party contractor agreements. (SV)
Matrix Theory

Author: Joel N. Franklin
language: en
Publisher: Courier Corporation
Release Date: 2012-07-31
Mathematically rigorous introduction covers vector and matrix norms, the condition-number of a matrix, positive and irreducible matrices, much more. Only elementary algebra and calculus required. Includes problem-solving exercises. 1968 edition.