Expands the lectures given at a regional conference in Lincoln, Nebraska which brought together a wide variety of scientists, pure mathematicians and engineers.

A collection of papers on different aspects of operator theory and complex analysis, covering the recent achievements of the Odessa-Kharkov school, where Potapov was very active. The book appeals to a wide group of mathematicians and engineers, and much of the material can be used for advanced courses and seminars.

This work offers a unified presentation of the theory of binary polynomial transforms and details their numerous applications in nonlinear signal processing. The book also: introduces the Rademacher logical functions; considers fast algorithms for computing Rademacher and polynomial logical functions; focuses attention on general auto- and cross-correlation functions; and more.;The work is intended for applied mathematicians; electrical, electronics and other engineers; computer scientists; and upper-level undergraduate and graduate students in these disciplines.

This book discusses the formalization of mathematical theories centering on complex analysis and matrix theory, covering topics such as algebraic systems, complex numbers, gauge integration, the Fourier transformation and its discrete counterpart, matrices and their transformation, inner product spaces, and function matrices. The formalization is performed using the interactive theorem prover HOL4, chiefly developed at the University of Cambridge. Many of the developments presented are now integral parts of the library of this prover. As mathematical developments continue to gain in complexity, sometimes demanding proofs of enormous sizes, formalization has proven to be invaluable in terms of obtaining real confidence in their correctness. This book provides a basis for the computer-aided verification of engineering systems constructed using the principles of complex analysis and matrix theory, as well as building blocks for the formalization of more involved mathematical theories.

Structure and Function of the Extracellular Matrix: A Multiscale Quantitative Approach introduces biomechanics and biophysics with applications to understand the biological function of the extracellular matrix in health and disease. A general multiscale approach is followed by investigating behavior from the scale of single molecules, through fibrils and fibers, to tissues of various organ systems. Through mathematical models and structural information, quantitative description of the extracellular matrix function is derived with tissue specific details. The book introduces the properties and organization of extracellular matrix components and quantitative models of the matrix, and guides the reader through predicting functional properties. This book integrates evolutionary biology with multiscale structure to quantitatively understand the function of the extracellular matrix. This approach allows a fresh look into normal functioning as well as the pathological alterations of the extracellular matrix. Professor Suki's book is written to be useful to undergraduates, graduate students, and researchers interested in the quantitative aspects of the extracellular matrix. Researchers working in mechanotransduction, respiratory and cardiovascular mechanics, and multiscale biomechanics of tendon, cartilage, skin, and bone may also be interested in this book. - Examines the evolutionary origins and consequences of the extracellular matrix - Delivers the first book to quantitatively treat the extracellular matrix as a multiscale system - Presents problems and a set of computational laboratory projects in various chapters to aid teaching and learning - Provides an introduction to the properties and organization of the extracellular matrix components

Advanced Chemical Process Control Bridge the gap between theory and practice with this accessible guide Process control is an area of study which seeks to optimize industrial processes, applying different strategies and technologies as required to navigate the variety of processes and their many potential challenges. Though the body of chemical process control theory is robust, it is only in recent decades that it has been effectively integrated with industrial practice to form a flexible toolkit. The need for a guide to this integration of theory and practice has therefore never been more urgent. Advanced Chemical Process Control meets this need, making advanced chemical process control accessible and useful to chemical engineers with little grounding in the theoretical principles of the subject. It provides a basic introduction to the background and mathematics of control theory, before turning to the implementation of control principles in industrial contexts. The result is a bridge between the insights of control theory and the needs of engineers in plants, factories, research facilities, and beyond. Advanced Chemical Process Control readers will also find: Detailed overview of Control Performance Monitoring (CPM), Model Predictive Control (MPC), and more Discussion of the cost benefit analysis of improved control in particular jobs Authored by a leading international expert on chemical process control Advanced Chemical Process Control is essential for chemical and process engineers looking to develop a working knowledge of process control, as well as for students and graduates entering the chemical process control field.

A comprehensive introduction to identifying network-connected systems, covering models and methods, and applications in adaptive optics.

Routledge Library Editions: Jung brings together as one set, or individual volumes, a series of previously out-of-print titles, originally published between 1927 and 1993. Covering a variety of areas this set reflects the continued interest in Jung and analytical psychology, showing how Jungian theory can have influence in many walks of life. It provides in one place a number of reference sources from a range of authors, showing the development of Jung’s theories over time.

An innovative introduction to chemical engineering computing As chemical engineering technology advances, so does the complexity of the problems that arise. The problemsthat chemical engineers and chemical engineering students face today can no longer be answered with programs written on a case-by-case basis. Introduction to Chemical Engineering Computing teaches professionalsand students the kinds of problems they will have to solve, the types of computer programs needed to solve these problems, and how to ensure that the problems have been solved correctly. Each chapter in Introduction to Chemical Engineering Computing contains a description of the physicalproblem in general terms and in a mathematical context, thorough step-by-step instructions, numerous examples,and comprehensive explanations for each problem and program. This indispensable text features Excel,MATLAB(r), Aspen PlusTM, and FEMLAB programs and acquaints readers with the advantages of each. Perfect for students and professionals, Introduction to Chemical Engineering Computing gives readers the professional tools they need to solve real-world problems involving: * Equations of state * Vapor-liquid and chemical reaction equilibria * Mass balances with recycle streams * Mass transfer equipment * Process simulation * Chemical reactors * Transfer processes in 1D * Fluid flow in 2D and 3D * Convective diffusion equations in 2D and 3D