Triple Systems


Book Description

Among the simplest combinatorial designs, triple systems have diverse applications in coding theory, cryptography, computer science, and statistics. This book provides a systematic and comprehensive treatment of this rich area of mathematics.







Jordan Triple Systems in Complex and Functional Analysis


Book Description

This book is a systematic account of the impressive developments in the theory of symmetric manifolds achieved over the past 50 years. It contains detailed and friendly, but rigorous, proofs of the key results in the theory. Milestones are the study of the group of holomomorphic automorphisms of bounded domains in a complex Banach space (Vigué and Upmeier in the late 1970s), Kaup's theorem on the equivalence of the categories of symmetric Banach manifolds and that of hermitian Jordan triple systems, and the culminating point in the process: the Riemann mapping theorem for complex Banach spaces (Kaup, 1982). This led to the introduction of wide classes of Banach spaces known as JB∗-triples and JBW∗-triples whose geometry has been thoroughly studied by several outstanding mathematicians in the late 1980s. The book presents a good example of fruitful interaction between different branches of mathematics, making it attractive for mathematicians interested in various fields such as algebra, differential geometry and, of course, complex and functional analysis.




Jordan Triple Systems by the Grid Approach


Book Description

Grids are special families of tripotents in Jordan triple systems. This research monograph presents a theory of grids including their classification and coordinization of their cover. Among the applications given are - classification of simple Jordan triple systems covered by a grid, reproving and extending most of the known classification theorems for Jordan algebras and Jordan pairs - a Jordan-theoretic interpretation of the geometry of the 27 lines on a cubic surface - structure theories for Hilbert-triples and JBW*-triples, the Jordan analogues of Hilbert-triples and W*-algebras which describe certain symmetric Banach manifolds. The notes are essentially self-contained and independent of the structure theory of Jordan algebras and Jordan pairs. They can be read by anyone with a basic knowledge in algebraic geometry or functional analysis. The book is intended to serve both as a reference for researchers in Jordan theory and as an introductory textbook for newcomers to the subject.







Jordan Triple Systems by the Grid Approach


Book Description

Grids are special families of tripotents in Jordan triple systems. This research monograph presents a theory of grids including their classification and coordinization of their cover. Among the applications given are - classification of simple Jordan triple systems covered by a grid, reproving and extending most of the known classification theorems for Jordan algebras and Jordan pairs - a Jordan-theoretic interpretation of the geometry of the 27 lines on a cubic surface - structure theories for Hilbert-triples and JBW*-triples, the Jordan analogues of Hilbert-triples and W*-algebras which describe certain symmetric Banach manifolds. The notes are essentially self-contained and independent of the structure theory of Jordan algebras and Jordan pairs. They can be read by anyone with a basic knowledge in algebraic geometry or functional analysis. The book is intended to serve both as a reference for researchers in Jordan theory and as an introductory textbook for newcomers to the subject.




Comprehensive Project Management


Book Description

Project Management -- the process of managing, allocating, and timing resources to achieve a given goal in an efficient and expedient manner -- has emerged as a separate discipline that is being increasingly embraced by various sectors, ranging from business to engineering. Comprehensive in perspective, this book presents an approach to project management -- from planning through implementation -- that integrates qualitative and quantitative techniques . Practical in approach, it demonstrates with numerous examples how three categories of tools -- management practices, optimization models, and computer applications -- complement one another to enhance overall project management. Considers traditional project management techniques, modern applications of operations research methodologies, and computer applications -- as well as supporting topics such as forecasting and inventory management. Reviews other methodologies, such as regression analysis and decision making methodologies that a project manager can utilize. Organizes chapters hierarchically to illustrate the incremental steps in a project management process -- from setting project goals to terminating the project. Features numerous examples and a chapter-length case study. For Industrial Engineers and Operations Managers.







Intermediate Algebra 2e


Book Description




Transactions of the American Mathematical Society


Book Description

Monthly journal devoted entirely to research in pure and applied mathematics, and, in general, includes longer papers than those in the Proceedings of the American Mathematical Society.