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Building bridges between classical results and contemporary nonstandard problems, Mathematical Bridges embraces important topics in analysis and algebra from a problem-solving perspective. The book is structured to assist the reader in formulating and proving conjectures, as well as devising solutions to important mathematical problems by making connections between various concepts and ideas from different areas of mathematics. Instructors, motivated mathematics students from high school juniors to college seniors, and students interested in mathematical competitions should have This volume-the first comprehensive treatment of all the major types of systems models-emphasizes both theory and applications throughout the text; the applicability of the developed theory is demonstrated by means of many specific examples and applications to important classes of systems in areas such as power and energy, feedback control, artifical neural networks, digital signal processing and control, manufacturing, computer networks, and socioeconomics. The book may be used as a graduate textbook or as a self-study reference for graduate students, researchers, and practitioners in applied mathematics, engineering, computer science, physics, chemistry, biology, and economics.

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