Mathematics of Large Eddy Simulation of Turbulent Flows
Large eddy simulation (LES) is a method of scientific computation seeking to predict the dynamics of organized structures in turbulent flows by approximating local, spatial averages of the flow. This book focuses on the mathematical foundations of LES and its models and provides a connection between the powerful tools of applied mathematics, partial differential equations and LES. Thus, it is concerned with fundamental aspects not treated so deeply in the other books in the field, aspects such as well-posedness of the models, their energy balance and the connection to the Leray theory of weak solutions of the Navier-Stokes equations.
Mathematical Tools for Data Mining : Set Theory, Partial Orders, Combinatorics
Mathematics is presented in a thorough and rigorous manner offering a detailed explanation of each topic, with applications to data mining such as frequent item sets, clustering, decision trees also being discussed. More than 400 exercises are included and they form an integral part of the material. Some of the exercises are in reality supplemental material and their solutions are included. The reader is assumed to have a knowledge of elementary analysis.
Mathematical Statistics : Exercises and Solutions
This book consists of four hundred exercises in mathematical statistics and their solutions,this solutions to train students for their research ability in mathematical statistics and presents many additional results and examples that complement any text in mathematical statistics. To develop problem-solving skills, two solutions and/or notes of brief discussions accompany a few exercises.The exercises are grouped into seven chapters with titles matching those in the author's Mathematical Statistics.
Isodual theory of antimatter : With applications to antigravity, grand unification and cosmology
Antimatter, already conjectured by A. Schuster in 1898, was actually predicted by P.A.M. Dirac in the late 19-twenties in the negative-energy solutions of the Dirac equation. Its existence was subsequently confirmed via the Wilson chamber and became an established part of theoretical physics. Dirac soon discovered that particles with negative energy do not behave in a physically conventional manner, and he therefore developed his "hole theory". This restricted the study of antimatter to the sole level of second quantization. As a result antimatter created a scientific imbalance, because matter was treated at all levels of study, while antimatter was treated only at the level of second quantization.In search of a new mathematics for the resolution of this imbalance the author conceived what we know today as Santilli’s isodual mathematics, which permitted the construction of isodual classical mechanics, isodual quantization and isodual quantum mechanics. The scope of this monograph is to show that our classical, quantum and cosmological knowledge of antimatter is at its beginning with much yet to be discovered, and that a commitment to antimatter by experimentalists will be invaluable to antimatter science.
Islamic FinTech : Insights and Solutions
Addresses the effects and implications of rapid technological changes within the financial services industry on Islamic finance and Islamic banks. Exploring current challenges, opportunities and threats, the authors provide an overview of how FinTech can operate within an Islamic context, under the Shari’ah principles or the Halal framework, for example. Examining the potential opportunities of Islamic FinTech from a socio-economic perspective, this edited collection will be of use to anyone researching FinTech or Islamic Finance as well as practitioners and policy-makers involved in banking and financial services.
Investigation and management of soft rock cliffs
Cliff recession and coastal landsliding of soft rock cliffs present significant threats to land use and development. Investigation and management of soft rock cliffs presents state-of-the-art guidance on how eroding cliffs can best be managed, stressing the need to consider both structural and non-structural solutions to cliff recession problems. This authoritative text outlines the investigation approaches, measurement and monitoring techniques, and prediction methods available for obtaining the necessary cliff recession information.
Inverse Problems in Electric Circuits and Electromagnetics
This text treats important new methods in inverse problems in electromagnetics. The inverse problems such as synthesis, diagnostics, fault detection, and identification are becoming one of the most important subjects in the field because of the significant practical applications to electric circuits and electromagnetics. This book introduces the recent achievements in mathematics and computing, while focusing on an approach to inverse problems that provides numerical solutions. The text systematically supplies descriptions of the most important practical inverse problems and the methods to solve them, thereby providing the reader with the best application for these intuitive processes. Also included are descriptions of the properties of inverse problems and known methods of their solution as well as the practical implementation of these methods in electric circuits theory and electromagnetic field theory.
Inventory and Supply Chain Management with Forecast Updates
Inventory and Supply Chain Management with Forecast Updates is concerned with the problems of inventory and supply chain decision making with information updating over time. The models considered include inventory decisions with multiple sources and delivery modes, supply-contract design and evaluation, contracts with exercise price, volume-flexible contracts allowing for spot-market purchase decisions, and competitive supply chains. Real problems are formulated into tractable mathematical models, which allow for an analysis of various approaches, and provide insights for better supply chain management. The book provides a unified treatment of these models, presents a critique of the existing results, and points out potential research directions. Attention is focused on solutions – that is, inventory decisions prior and subsequent to information updates and the impact of the quality of information on these decisions.
Inventive Thinking through TRIZ : A Practical Guide
This is the second edition of the Michael Orloff's successful practical introduction to TRIZ (Theory of Inventive Problem Solving) - a strategy and methods for breaking out of rigid thought patterns to achieve truly creative engineering solutions. Written for self-study, the book provides the reader in the most vivid and systematic manner with the key ideas, techniques, and paradigms of the quite complex TRIZ method. The author is experienced in many practical applications of TRIZ in various fields.
Invariant Manifolds for Physical and Chemical Kinetics
By bringing together various ideas and methods for extracting the slow manifolds the authors show that it is possible to establish a more macroscopic description in nonequilibrium systems. The book treats slowness as stability. A unifying geometrical viewpoint of the thermodynamics of slow and fast motion enables the development of reduction techniques, both analytical and numerical. Examples considered in the book range from the Boltzmann kinetic equation and hydrodynamics to the Fokker-Planck equations of polymer dynamics and models of chemical kinetics describing oxidation reactions. Special chapters are devoted to model reduction in classical statistical dynamics, natural selection, and exact solutions for slow hydrodynamic manifolds. The book will be a major reference source for both theoretical and applied model reduction. Intended primarily as a postgraduate-level text in nonequilibrium kinetics and model reduction, it will also be valuable to PhD students and researchers in applied mathematics, physics and various fields of engineering.
Intrusion Detection Systems
Sٍheds new light on defense alert systems against computer and network intrusions. It also covers integrating intrusion alerts within security policy framework for intrusion response, related case studies and much more. This volume is presented in an easy-to-follow style while including a rigorous treatment of the issues, solutions, and technologies tied to the field.
Intrusion Detection and Correlation : Challenges and Solutions
Challenges and Solutions presents intrusion detection systems (IDSs) and addresses the problem of managing and correlating the alerts produced. This volume discusses the role of intrusion detection in the realm of network security with comparisons to traditional methods such as firewalls and cryptography. Challenges and Solutions analyzes the challenges in interpreting and combining (i.e., correlating) alerts produced by these systems. In addition, existing academic and commercial systems are classified; their advantage and shortcomings are presented, especially in the case of deployment in large, real-world sites. Challenges and Solutions is designed for a professional audience composed of researchers and practitioners in industry. This book is also suitable for graduate-level students in computer science.
Introduction to the Theory of Cooperative Games
This book systematically presents the main solutions of cooperative games: the core, bargaining set, kernel, nucleolus, and the Shapley value of TU games, and the core, the Shapley value, and the ordinal bargaining set of NTU games. To each solution the authors devote a separate chapter wherein they study its properties in full detail. Moreover, important variants are defined or even intensively analyzed. The authors also investigate in separate chapters continuity, dynamics, and geometric properties of solutions of TU games. The study culminates in uniform and coherent axiomatizations of all the foregoing solutions (excluding the bargaining set). Such axiomatizations have not appeared in any book. Moreover, the book contains a detailed analysis of the main results on cooperative games without side payments. Such analysis is very limited or non-existent in other books on game theory.
Introduction to Stochastic Integration
The theory of stochastic integration, also called the Ito calculus, has a large spectrum of applications in virtually every scientific area involving random functions, but it can be a very difficult subject for people without much mathematical background. The Ito calculus was originally motivated by the construction of Markov diffusion processes from infinitesimal generators. Previously, the construction of such processes required several steps, whereas Ito constructed these diffusion processes directly in a single step as the solutions of stochastic integral equations associated with the infinitesimal generators. Moreover, the properties of these diffusion processes can be derived from the stochastic integral equations and the Ito formula. This introductory textbook on stochastic integration provides a concise introduction to the Ito calculus
Introduction to software design with Java
Provides an in-depth introduction to software design, with a focus on object-oriented design, and using the Java programming language. Its goal is to help readers learn software design by discovering the experience of the design process. To this end, the text follows a continuous narrative that introduces each element of design know-how in context, and explores alternative solutions in that context. This narrative is complemented by hundreds of code fragments and design diagrams.
Introduction to Programming with Fortran : with coverage of Fortran 90, 95, 2003 and 77
Introduction to Programming with Fortran contains: lots of clear and simple examples highlighting the key language features of the most recent versions of Fortran – Fortran 2003, 95 and 90. practical examples based on ISO TR 15580 and ISO TR 15581 which are widely supported and cover the ISO TR on Enhanced Modules – particularly important to large code suites common problems that occur when programming which are highlighted via clear examples and solutions Introduction to Programming with Fortran is an essential introduction for beginners as well as a concise reference for professionals. Overall the book gives a very effective hands-on coverage of Fortran, valuable to students and practitioners alike.
Introduction to Fuzzy Logic using MATLAB
Fuzzy Logic, at present is a hot topic, among academicians as well various programmers. This book is provided to give a broad, in-depth overview of the field of Fuzzy Logic. The basic principles of Fuzzy Logic are discussed in detail with various solved examples. The different approaches and solutions to the problems given in the book are well balanced and pertinent to the Fuzzy Logic research projects. The applications of Fuzzy Logic are also dealt to make the readers understand the concept of Fuzzy Logic. The solutions to the problems are programmed using MATLAB 6.0 and the simulated results are given. The MATLAB Fuzzy Logic toolbox is provided for easy reference.
Introduction to development engineering
Introduces the emerging field of development engineering and its constituent theories, methods, and applications. It is both an instructional text for students and a resource for researchers and practitioners involved in the design and scaling of technologies for low-resource communities. The scope is broad, ranging from the development of mobile applications for low-literacy users to hardware and software solutions for providing electricity and water in remote environments. It is also highly interdisciplinary, drawing on methods and theories from the social sciences as well as engineering and the natural sciences.
Introduction to Computational Optimization Models for Production Planning in a Supply Chain
In this book we strive to provide models that capture many of the - tails faced by ?rms operating in a modern supply chain, but we stop short of proposing models for economic analysis of the entire multi-player chain. In other words, we produce models that are useful for planning within a supply chain rather than models for planning the supply chain. The usefulness of the models is enhanced greatly by the fact that they have been implemented - ing computer modeling languages. Implementations are shown in Chapter 7, which allows solutions to be found using a computer.
Interpolation, Schur Functions and Moment Problems
In signal processing, they are often named reflection coefficients. Under the word "Schur analysis" one encounters a variety of problems related to Schur functions, such as interpolation problems, moment problems, the study of the relationships between the Schur coefficients and the properties of the function, or the study of underlying operators. Such questions are also considered for some generalizations of Schur functions. Furthermore, there is an extension of the notion of a Schur function for functions that are analytic and have a positive real part in the open upper half-plane; these functions are called Carathéodory functions. This volume is almost entirely dedicated to the analysis of Schur and Carathéodory functions and to the solutions of problems for these classes.



















