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Invitation to Linear Operators From Matrices to Bounded Linear Operators on a Hilbert Space

Invitation to Linear Operators From Matrices to Bounded Linear Operators on a Hilbert Space

Most books on linear operators are not easy to follow for students and researchers without an extensive background in mathematics. Self-contained and using only matrix theory Invitation to Linear Operators: From Matricies to Bounded Linear Operators on a Hilbert Space explains in easy-to-follow steps a variety of interesting recent results on linear operators on a Hilbert space. The author first states the important properties of a Hilbert space then sets out the fundamental properties of bounded linear operators on a Hilbert space. The final section presents some of the more recent developments in bounded linear operators. | Invitation to Linear Operators From Matrices to Bounded Linear Operators on a Hilbert Space

GBP 175.00
1

Differential Equations A Linear Algebra Approach

Differential Equations A Linear Algebra Approach

Differential Equations: A Linear Algebra Approach follows an innovative approach of inculcating linear algebra and elementary functional analysis in the backdrop of even the simple methods of solving ordinary differential equations. The contents of the book have been made user-friendly through concise useful theoretical discussions and numerous illustrative examples practical and pathological. | Differential Equations A Linear Algebra Approach

GBP 105.00
1

Non-Linear Differential Equations and Dynamical Systems

Non-Linear Differential Equations and Dynamical Systems

Non-Linear Differential Equations and Dynamical Systems is the second book within Ordinary Differential Equations with Applications to Trajectories and Vibrations Six-volume Set. As a set they are the fourth volume in the series Mathematics and Physics Applied to Science and Technology. This second book consists of two chapters (chapters 3 and 4 of the set). The first chapter considers non-linear differential equations of first order including variable coefficients. A first-order differential equation is equivalent to a first-order differential in two variables. The differentials of order higher than the first and with more than two variables are also considered. The applications include the representation of vector fields by potentials. The second chapter in the book starts with linear oscillators with coefficients varying with time including parametric resonance. It proceeds to non-linear oscillators including non-linear resonance amplitude jumps and hysteresis. The non-linear restoring and friction forces also apply to electromechanical dynamos. These are examples of dynamical systems with bifurcations that may lead to chaotic motions. Presents general first-order differential equations including non-linear like the Ricatti equationDiscusses differentials of the first or higher order in two or more variablesIncludes discretization of differential equations as finite difference equationsDescribes parametric resonance of linear time dependent oscillators specified by the Mathieu functions and other methodsExamines non-linear oscillations and damping of dynamical systems including bifurcations and chaotic motions

GBP 44.99
1

Linear Synchronous Motors Transportation and Automation Systems Second Edition

Linear Synchronous Motors Transportation and Automation Systems Second Edition

Considered to be the first book devoted to the subject Linear Synchronous Motors: Transportation and Automation Systems Second Edition evaluates the state of the art demonstrating the technological innovations that are improving the design construction and performance of modern control systems. This new edition not only illustrates the development of linear synchronous motor drives but it also discusses useful techniques for selecting a motor that will meet the specific requirements of linear electrical drives. New Features for the Second Edition: Several updated and expanded sections as well as two new chapters on FEM Even more numerical examples calculations and mathematical models Broadened target audience that includes researchers scientists students and more Evaluating trends and practical techniques for achieving optimal system performance the authors showcase ready-to-implement solutions for common roadblocks in this process. The book presents fundamental equations and calculations used to determine and evaluate system operation efficiency and reliability with an exploration of modern computer-aided design of linear synchronous motors including the finite element approach. It covers topics such as linear sensors and stepping motors magnetic levitation systems elevators and factory automation systems. It also features case studies on flat PM tubular PM air-cored and hybrid linear synchronous motors as well as 3D finite element method analysis of tubular linear reluctance motors and linear oscillatory actuators. With such an exceptional presentation of practical tools and conceptual illustrations this volume is an especially powerful resource. It will benefit readers from all walks by providing numerical examples models guidelines and diagrams to help develop a clear understanding of linear synchronous motor operations characteristics and much more. | Linear Synchronous Motors Transportation and Automation Systems Second Edition

GBP 69.99
1

Control of Linear Systems

Control of Linear Systems

The book begins with the definition of time together with a brief description of its crucial properties and with the principles of the physical uniqueness and continuity of physical variables which are essential for the natural tracking control synthesis. The book presents further new results on matrices on polynomial matrices on matrix polynomials and on the new compact simple and elegant calculus that enabled the generalization of the transfer function matrix concept and of the state concept the proofs of the new observability controllability trackability and tracking conditions as well as the natural tracking control synthesis for all five classes of the treated linear systems. | Control of Linear Systems

GBP 130.00
1

Fundamentals of Linear Systems for Physical Scientists and Engineers

Fundamentals of Linear Systems for Physical Scientists and Engineers

Thanks to the advent of inexpensive computing it is possible to analyze compute and develop results that were unthinkable in the '60s. Control systems telecommunications robotics speech vision and digital signal processing are but a few examples of computing applications. While there are many excellent resources available that focus on one or two topics few books cover most of the mathematical techniques required for a broader range of applications. Fundamentals of Linear Systems for Physical Scientists and Engineers is such a resource. The book draws from diverse areas of engineering and the physical sciences to cover the fundamentals of linear systems. Assuming no prior knowledge of complex mathematics on the part of the reader the author uses his nearly 50 years of teaching experience to address all of the necessary mathematical techniques. Original proofs hundreds of examples and proven theorems illustrate and clarify the material. An extensive table provides Lyapunov functions for differential equations and conditions of stability for the equilibrium solutions. In an intuitive step-by-step manner the book covers a breadth of highly relevant topics in linear systems theory from the introductory level to a more advanced level. The chapter on stochastic processes makes it invaluable for financial engineering applications. Reflecting the pressures in engineering education to provide compact yet comprehensive courses of instruction this book presents essential linear system theoretic concepts from first principles to relatively advanced yet general topics. The book’s self-contained nature and the coverage of both linear continuous- and discrete-time systems set it apart from other texts.

GBP 59.99
1

Linear and Switch-Mode RF Power Amplifiers Design and Implementation Methods

Linear and Switch-Mode RF Power Amplifiers Design and Implementation Methods

RF power amplifiers are implemented in communication semiconductor wafer processing magnetic resonance imaging (MRI) and radar systems to produce RF signal with the desired characteristics to perform several critical tasks in the entire system. They can be designed to operate in linear or switch-mode depending on the specific application. This book explores the design and implementation methods for both linear and switch-mode amplifiers with real world engineering problems. The text discusses phased controlled switch-mode amplifiers and distortion and modulation effects in RF amplifiers. It illustrates the interface and integration of components and sub-systems for RF amplifiers. The material is further reinforced with MATLAB design files. | Linear and Switch-Mode RF Power Amplifiers Design and Implementation Methods

GBP 74.99
1

Linear and Nonlinear Waves in Microstructured Solids Homogenization and Asymptotic Approaches

Linear and Nonlinear Waves in Microstructured Solids Homogenization and Asymptotic Approaches

This book uses asymptotic methods to obtain simple approximate analytic solutions to various problems within mechanics notably wave processes in heterogeneous materials. Presenting original solutions to common issues within mechanics this book builds upon years of research to demonstrate the benefits of implementing asymptotic techniques within mechanical engineering and material science. Focusing on linear and nonlinear wave phenomena in complex micro-structured solids the book determines their global characteristics through analysis of their internal structure using homogenization and asymptotic procedures in line with the latest thinking within the field. The book’s cutting-edge methodology can be applied to optimal design non-destructive control and in deep seismic sounding providing a valuable alternative to widely used numerical methods. Using case studies the book covers topics such as elastic waves in nonhomogeneous materials regular and chaotic dynamics based on continualisation and discretization and vibration localization in 1D Linear and Nonlinear lattices. The book will be of interest to students research engineers and professionals specialising in mathematics and physics as well as mechanical and civil engineering. | Linear and Nonlinear Waves in Microstructured Solids Homogenization and Asymptotic Approaches

GBP 44.99
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Observability and Controllability of General Linear Systems

Observability and Controllability of General Linear Systems

Observability and Controllability of General Linear Systems treats five different families of the linear systems three of which are new. The book begins with the definition of time together with a brief description of its crucial properties. It presents further new results on matrices on polynomial matrices on matrix polynomials on rational matrices and on the new compact simple and elegant calculus that enabled the generalization of the transfer function matrix concept and of the state concept the proofs of the new necessary and sufficient observability and controllability conditions for all five classes of the studied systems. Features • Generalizes the state space concept and the complex domain fundamentals of the control systems unknown in previously published books by other authors. • Addresses the knowledge and ability necessary to overcome the crucial lacunae of the existing control theory and drawbacks of its applications. • Outlines new effective mathematical means for effective complete analysis and synthesis of the control systems. • Upgrades completes and broadens the control theory related to the classical self-contained control concepts: observability and controllability. • Provides information necessary to create and teach advanced inherently upgraded control courses.

GBP 130.00
1

Generalized Linear Models for Categorical and Continuous Limited Dependent Variables

Generalized Linear Models for Categorical and Continuous Limited Dependent Variables

Generalized Linear Models for Categorical and Continuous Limited Dependent Variables is designed for graduate students and researchers in the behavioral social health and medical sciences. It incorporates examples of truncated counts censored continuous variables and doubly bounded continuous variables such as percentages. The book provides broad but unified coverage and the authors integrate the concepts and ideas shared across models and types of data especially regarding conceptual links between discrete and continuous limited dependent variables. The authors argue that these dependent variables are if anything more common throughout the human sciences than the kind that suit linear regression. They cover special cases or extensions of models estimation methods model diagnostics and of course software. They also discuss bounded continuous variables boundary-inflated models and methods for modeling heteroscedasticity. Wherever possible the authors have illustrated concepts models and techniques with real or realistic datasets and demonstrations in R and Stata and each chapter includes several exercises at the end. The illustrations and exercises help readers build conceptual understanding and fluency in using these techniques. At several points the authors bring together material that has been previously scattered across the literature in journal articles software package documentation files and blogs. These features help students learn to choose the appropriate models for their purpose.

GBP 42.99
1

Nonparametric Regression and Spline Smoothing

Nonparametric Regression and Spline Smoothing

Provides a unified account of the most popular approaches to nonparametric regression smoothing. This edition contains discussions of boundary corrections for trigonometric series estimators; detailed asymptotics for polynomial regression; testing goodness-of-fit; estimation in partially linear models; practical aspects problems and methods for confidence intervals and bands; local polynomial regression; and form and asymptotic properties of linear smoothing splines. | Nonparametric Regression and Spline Smoothing

GBP 44.99
1

Evolution Equations

Evolution Equations

Celebrating the work of renowned mathematician Jerome A. Goldstein this reference compiles original research on the theory and application of evolution equations to stochastics physics engineering biology and finance. The text explores a wide range of topics in linear and nonlinear semigroup theory operator theory functional analysis and linear and nonlinear partial differential equations and studies the latest theoretical developments and uses of evolution equations in a variety of disciplines. Providing nearly 500 references the book contains discussions by renowned mathematicians such as H. Brezis G. Da Prato N. E. Gretskij I. Lasiecka Peter Lax M. M. Rao and R. Triggiani.

GBP 180.00
1

Advanced Vibration Analysis

Advanced Vibration Analysis

Delineating a comprehensive theory Advanced Vibration Analysis provides the bedrock for building a general mathematical framework for the analysis of a model of a physical system undergoing vibration. The book illustrates how the physics of a problem is used to develop a more specific framework for the analysis of that problem. The author elucidates a general theory applicable to both discrete and continuous systems and includes proofs of important results especially proofs that are themselves instructive for a thorough understanding of the result. The book begins with a discussion of the physics of dynamic systems comprised of particles rigid bodies and deformable bodies and the physics and mathematics for the analysis of a system with a single-degree-of-freedom. It develops mathematical models using energy methods and presents the mathematical foundation for the framework. The author illustrates the development and analysis of linear operators used in various problems and the formulation of the differential equations governing the response of a conservative linear system in terms of self-adjoint linear operators the inertia operator and the stiffness operator. The author focuses on the free response of linear conservative systems and the free response of non-self-adjoint systems. He explores three method for determining the forced response and approximate methods of solution for continuous systems. The use of the mathematical foundation and the application of the physics to build a framework for the modeling and development of the response is emphasized throughout the book. The presence of the framework becomes more important as the complexity of the system increases. The text builds the foundation formalizes it and uses it in a consistent fashion including application to contemporary research using linear vibrations.

GBP 59.99
1

Mechanics of Elastic Waves and Ultrasonic Nondestructive Evaluation

Mechanics of Elastic Waves and Ultrasonic Nondestructive Evaluation

Summary:This book presents necessary background knowledge on mechanics to understand and analyze elastic wave propagation in solids and fluids. This knowledge is necessary for elastic wave propagation modeling and for interpreting experimental data generated during ultrasonic nondestructive testing and evaluation (NDT&E). The book covers both linear and nonlinear analyses of ultrasonic NDT&E techniques. The materials presented here also include some exercise problems and solution manual. Therefore this book can serve as a textbook or reference book for a graduate level course on elastic waves and/or ultrasonic nondestructive evaluation. It will be also useful for instructors who are interested in designing short courses on elastic wave propagation in solids or NDT&E. The materials covered in the first two chapters provide the fundamental knowledge on linear mechanics of deformable solids while Chapter 4 covers nonlinear mechanics. Thus both linear and nonlinear ultrasonic techniques are covered here. Nonlinear ultrasonic techniques are becoming more popular in recent years for detecting very small defects and damages. However this topic is hardly covered in currently available textbooks. Researchers mostly rely on published research papers and research monographs to learn about nonlinear ultrasonic techniques. Chapter 3 describes elastic wave propagation modeling techniques using DPSM. Chapter 5 is dedicated to an important and very active research field – acoustic source localization – that is essential for structural health monitoring and for localizing crack and other type of damage initiation regions. Features• Introduces Linear and Nonlinear ultrasonic techniques in a single book. • Commences with basic definitions of displacement displacement gradient traction and stress. • Provides step by step derivations of fundamental equations of mechanics as well as linear and nonlinear wave propagation analysis. • Discusses basic theory in addition to providing detailed NDE applications. • Provides extensive example and exercise problems along with an extensive solutions manual. | Mechanics of Elastic Waves and Ultrasonic Nondestructive Evaluation

GBP 120.00
1

Optimal Networked Control Systems with MATLAB

Optimal Networked Control Systems with MATLAB

Optimal Networked Control Systems with MATLAB® discusses optimal controller design in discrete time for networked control systems (NCS). The authors apply several powerful modern control techniques in discrete time to the design of intelligent controllers for such NCS. Detailed derivations rigorous stability proofs computer simulation examples and downloadable MATLAB® codes are included for each case. The book begins by providing background on NCS networked imperfections dynamical systems stability theory and stochastic optimal adaptive controllers in discrete time for linear and nonlinear systems. It lays the foundation for reinforcement learning-based optimal adaptive controller use for finite and infinite horizons. The text then:Introduces quantization effects for linear and nonlinear NCS describing the design of stochastic adaptive controllers for a class of linear and nonlinear systemsPresents two-player zero-sum game-theoretic formulation for linear systems in input–output form enclosed by a communication networkAddresses the stochastic optimal control of nonlinear NCS by using neuro dynamic programmingExplores stochastic optimal design for nonlinear two-player zero-sum games under communication constraintsTreats an event-sampled distributed NCS to minimize transmission of state and control signals within the feedback loop via the communication networkCovers distributed joint optimal network scheduling and control design for wireless NCS as well as the effect of network protocols on the wireless NCS controller designAn ideal reference for graduate students university researchers and practicing engineers Optimal Networked Control Systems with MATLAB® instills a solid understanding of neural network controllers and how to build them.

GBP 66.99
1

Optimization Techniques and their Applications to Mine Systems

Optimization Techniques and their Applications to Mine Systems

This book describes the fundamental and theoretical concepts of optimization algorithms in a systematic manner along with their potential applications and implementation strategies in mining engineering. It explains basics of systems engineering linear programming and integer linear programming transportation and assignment algorithms network analysis dynamic programming queuing theory and their applications to mine systems. Reliability analysis of mine systems inventory management in mines and applications of non-linear optimization in mines are discussed as well. All the optimization algorithms are explained with suitable examples and numerical problems in each of the chapters. Features include:• Integrates operations research reliability and novel computerized technologies in single volume with a modern vision of continuous improvement of mining systems. • Systematically reviews optimization methods and algorithms applied to mining systems including reliability analysis. • Gives out software-based solutions such as MATLAB® AMPL LINDO for the optimization problems. • All discussed algorithms are supported by examples in each chapter. • Includes case studies for performance improvement of the mine systems. This book is aimed primarily at professionals graduate students and researchers in mining engineering. | Optimization Techniques and their Applications to Mine Systems

GBP 130.00
1

Flight Dynamics Simulation and Control For Rigid and Flexible Aircraft

Flight Dynamics Simulation and Control For Rigid and Flexible Aircraft

Flight Dynamics Simulation and Control of Aircraft: For Rigid and Flexible Aircraft explains the basics of non-linear aircraft dynamics and the principles of control-configured aircraft design as applied to rigid and flexible aircraft drones and unmanned aerial vehicles (UAVs). Addressing the details of dynamic modeling simulation and control in a selection of aircraft the book explores key concepts associated with control-configured elastic aircraft. It also covers the conventional dynamics of rigid aircraft and examines the use of linear and non-linear model-based techniques and their applications to flight control. This second edition features a new chapter on the dynamics and control principles of drones and UAVs aiding in the design of newer aircraft with a combination of propulsive and aerodynamic control surfaces. In addition the book includes new sections approximately 20 problems per chapter examples simulator exercises and case studies to enhance and reinforce student understanding. The book is intended for senior undergraduate and graduate mechanical and aerospace engineering students taking Flight Dynamics and Flight Control courses. Instructors will be able to utilize an updated Solutions Manual and figure slides for their course. | Flight Dynamics Simulation and Control For Rigid and Flexible Aircraft

GBP 120.00
1