Numbers have frequently been called a universal language for their ability to transmit information across cultures. This book offers an overview of the development of numbers, their expression in mathematics and measurement, and profiles of visionaries who saw order amidst the numbers.
This book is a comprehensive look at geometry – its history, discoverers, and applications - including how it works, and why it works. Along the way are imaginative twists and opposing viewpoints.
Chaotic Dynamics: Theory and Applications to EconomicsThis book is a tool for the theoretical and numerical investigation of nonlinear dynamical systems modeled by means of ordinary differential and difference equations. The work is divided into two parts: a book, comprising a theoretical overview of the subject matter and a number of applications; and an integrated software program. The book first discusses the fundamental concepts and methods of chaos theory, and then applies these theoretical results
Lectures on Classical Differential Geometry: Second Edition
Excellent brief introduction presents fundamental theory of curves and surfaces and applies them to a number of examples. Topics include curves, theory of surfaces, fundamental equations, geometry on a surface, envelopes, conformal mapping, minimal surfaces, more. Well-illustrated, with abundant problems and solutions. Bibliography.
A matroid is an abstract mathematical structure that captures combinatorial properties of matrices. This book offers a unique introduction to matroid theory, emphasizing motivations from matrix theory and applications to systems analysis.
This book serves also as a comprehensive presentation of the theory and application of mixed matrices, developed primarily by the present author in the last decade.
