Series:

Pure & Applied Mathematics S.

6 total works

Cover of Abstract and Concrete Categories
A modern introduction to the theory of structures via the language of category theory. Unique to this book is the emphasis on concrete categories. Also noteworthy is the systematic treatment of factorization structures, which gives a new, unifying perspective to earlier work and summarizes recent developments. Each categorical notion is accompanied by many examples, usually moving from special cases to more general cases. Comprises seven chapters; the first five present the basic theory, while the last two contain more recent research results in the realm of concrete categories, cartesian closed categories and quasitopoi. The prerequisite is an elementary knowledge of set theory. Contains exercises.

Cover of Rings That are Nearly Associative

Cover of Connections, Curvature and Cohomology

Cover of Combinatorial Group Theory

Cover of Nonnegative Matrices in Dynamic Systems
Presented here is a work which applies the theory of nonnegative matrices to problems arising in positive differential and control systems. There is a concise review of requisite material in convex analysis and matrix theory, as well as a detailed review of linear differential and control systems. The exposition incorporates simple real-life dynamic models to better illustrate various aspects of the theory being developed. Exercises are also included. The text will be of interest to applied mathematicians, economists, engineers, operations researchers, and graduate students.

Cover of Time Dependent Problems and Difference Methods
This book will be useful to applied mathematicians and physical scientists who want to carry out numerical experiments to investigate physical behavior and test designs.