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Mathematics Education in Different Cultural Traditions- A Comparative Study of East Asia and the West : The 13th ICMI Study
The volume covers a very wide field including the contexts of mathematics education, the curriculum, teaching and learning, and teachers’ values and beliefs. Within these broad parameters some of the particular cross-cultural issues that are discussed include intuition and logical reasoning, influences of Confucianism and Ancient Greek traditions, basic skills and process abilities, learners’ perspectives, assessment practices, text books and ICT multimedia.
Mathematics and Culture II : Visual Perfection: Mathematics and Creativity
This book presents the mathematical foundations of systems theory in a self-contained, comprehensive, detailed and mathematically rigorous way. This volume is devoted to the analysis of dynamical systems with emphasis on problems of uncertainty, whereas the second volume will be devoted to control. It combines features of a detailed introductory textbook with that of a reference source. The book contains many examples and figures illustrating the text which help to bring out the intuitive ideas behind the mathematical constructions.
Mathematics - Key Technology for the Future : Joint Projects Between Universities and Industry 2004–2007
This book is about the results of a number of projects funded by the BMBF in the initiative "Mathematics for Innovations in Industry and Services". It shows that a broad spectrum of analytical and numerical mathematical methods and programming techniques are used to solve a lot of different specific industrial or services problems. The main focus is on the fact that the mathematics used is not usually standard mathematics or black box mathematics but is specifically developed for specific industrial or services problems. Mathematics is more than a tool box or an ancilarry science for other scientific disciplines or users. Through this book the reader will gain insight into the details of mathematical modeling and numerical simulation for a lot of industrial applications.
Mathematical Models of Granular Matter
Granular matter displays a variety of peculiarities that distinguish it from other appearances studied in condensed matter physics and renders its overall mathematical modelling somewhat arduous. Prominent directions in the modelling granular flows are analyzed from various points of view. Foundational issues, numerical schemes and experimental results are discussed. The volume furnishes a rather complete overview of the current research trends in the mechanics of granular matter. Various chapters introduce the reader to different points of view and related techniques. New models describing granular bodies as complex bodies are presented. Results on the analysis of the inelastic Boltzmann equations are collected in different chapters. Gallavotti-Cohen symmetry is also discussed.
Mathematical Models of Financial Derivatives
Mathematical Models of Financial Derivatives is a textbook on the theory behind modeling derivatives using the financial engineering approach, focussing on the martingale pricing principles that are common to most derivative securities. A wide range of financial derivatives commonly traded in the equity and fixed income markets are analyzed, emphasizing on the aspects of pricing, hedging and their risk management. Starting from the renowned Black-Scholes-Merton formulation of option pricing model, readers are guided through the text on the new advances on the state-of-the-art derivative pricing models and interest rate models. Both analytic techniques and numerical methods for solving various types of derivative pricing models are emphasized.
Isomorphisms Between H¹ Spaces
Presents a thorough and self-contained presentation of H¹ and its known isomorphic invariants, such as the uniform approximation property, the dimension conjecture, and dichotomies for the complemented subspaces. The necessary background is developed from scratch. This includes a detailed discussion of the Haar system, together with the operators that can be built from it (averaging projections, rearrangement operators, paraproducts, Calderon-Zygmund singular integrals). Complete proofs are given for the classical martingale inequalities of C. Fefferman, Burkholder, and Khinchine-Kahane, and for large deviation inequalities. Complex interpolation, analytic families of operators, and the Calderon product of Banach lattices are treated in the context of H^p spaces. Througout the book, special attention is given to the combinatorial methods developed in the field, particularly J. Bourgain's proof of the dimension conjecture, L. Carleson's biorthogonal system in H¹, T. Figiel's integral representation, W.B. Johnson's factorization of operators, B. Maurey's isomorphism, and P. Jones' proof of the uniform approximation property. An entire chapter is devoted to the study of combinatorics of colored dyadic intervals."
Isomonodromic Deformations and Frobenius Manifolds : An Introduction
The notion of a Frobenius structure on a complex analytic manifold appeared at the end of the seventies in the theory of singularities of holomorphic functions. Motivated by physical considerations, further development of the theory has opened new perspectives on, and revealed new links between, many apparently unrelated areas of mathematics and physics. Based on a series of graduate lectures, this book provides an introduction to algebraic geometric methods in the theory of complex linear differential equations. Starting from basic notions in complex algebraic geometry, it develops some of the classical problems of linear differential equations and ends with applications to recent research questions related to mirror symmetry.
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 Philosophy and Occidental Phenomenology on the Perennial Issue of Microcosm and Macrocosm
this volume are reviving the perennial positioning of the human condition in the play of forces within and without the human being. This theme has run from Plato through the Middle Ages, Renaissance and Modernity, and has been ignored by contemporaries. It now acquires a new pertinence and striking significance due to the scientific discoveries into the "infinitely small" in life, on the one hand, and the prodigious technological discoveries of the "infinitely great" on the other. Both open up undreamt-of prospects for the continuing conquest of cosmic forces.
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.
Islamic Bioethics : Problems and Perspectives
This book presents a critical analysis of the debate at the religious, legal and political level sparked off by the introduction of new biomedical technologies (cloning, genetics, organ transplants, IVF, etc.) in Muslim countries. It compares the positions of "classic" Muslim law and contemporary religious authorities; laws in Muslim countries; the attitudes and concrete behaviour of populations, families and individuals, as well as the regulations of medical associations, bioethics committees etc..
Islamic banking and finance
Explores the nature and role of money in modern economies and elaborates on the process of credit deposit creation, trade cycles and instruments for the creation of value in financial markets through the perspectives of Islamic finance. The author explains its characteristics, especially the rationale for the lack of interest-based financial activities. He examines the intrinsic ethical and humanistic frameworks that govern financial theories and practices and the models for the creation of value, risk-sharing and socially responsible investing, as well as the governance and regulation that these systems follow. The author also does a comparative assessment of conventional financial systems with Islamic finance with relevant examples, assesses the performance of Islamic systems and examines existing and expanding markets for Islamic finance.
Irritable Bowel syndrome I.B.S
Irritable bowel syndrome (IBS) is a chronic gastrointestinal disorder with a range of symptoms that significantly affect quality of life for patients. Is currently one of the most common disorders of the digestive system in the Western society? Almost 2 out of 10 people suffer from IBS, and it is associated with abdominal pain, bloating and altered stool consistency and imposes a heavy burden for the affected patients. The difficulty of differential diagnosis and its treatment may significantly delay initiation of optimal therapy. Hence, persons with IBS often self-treat symptoms with non-prescribed pharmacological regimens and/or complementary and alternative medicines (CAM) and by modifying diet and daily activities.
Iron Nutrition in Plants and Rhizospheric Microorganisms
This book uses an interdisciplinary approach to provide a comprehensive review on the status of iron nutrition in plants. International scientists discuss research on acquisition of iron by strategy I and strategy II plants. These reviews summarize a variety of plant species and include both laboratory and field observations. Topics covered in this book include: plants as a source of iron for animals and humans, iron translocation in the plants, iron-stimulated activities that influence crop yield and fruit tree productivity, iron uptake by plants as influenced by microorganisms (i.e. free living soil microorganisms, symbiotic nitrogen-fixing and pathogenic bacteria), the role of plant hormones in iron transport, iron-metal competition in phytoremediation, root zone activities involving interactions between minerals and organic matter, the role of microbial siderophores in rhizospheric iron cycling, iron storage as phytoferritin, proteomic and metabolic studies associated with iron stress response, methods for studying iron metabolism including stable isotopes, and the correction of iron deficiency through the use of synthetic or natural chelates.
Iridescences : The Physical Colors of Insects
Biologists will find a clear and in-depth study of the different physical phenomena generating colors. It will constitute a boundless "biomimetical" inspiration for physicists and engineers, for if physics is simple, the combinations of effects and the structures involved are extremely complex and original.
Ion Implantation and Synthesis of Materials
This book presents the physics and materials science of ion implantation and ion beam modification of materials. It covers ion-solid interactions used to predict ion ranges, ion straggling and lattice disorder. Also treated are shallow-junction formation and slicing silicon with hydrogen ion beams. Topics important for materials modification, such as ion-beam mixing, stresses, and sputtering, are also described.
Invexity and Optimization
Invexity and Optimization presents results on invex function and their properties in smooth and nonsmooth cases, pseudolinearity and eta-pseudolinearity. Results on optimality and duality for a nonlinear scalar programming problem are presented, second and higher order duality results are given for a nonlinear scalar programming problem, and saddle point results are also presented. Invexity in multiobjective programming problems and Kuhn-Tucker optimality conditions are given for a multiobjecive programming problem, Wolfe and Mond-Weir type dual models are given for a multiobjective programming problem and usual duality results are presented in presence of invex functions. Continuous-time multiobjective problems are also discussed. Quadratic and fractional programming problems are given for invex functions. Symmetric duality results are also given for scalar and vector cases.
Investor-State Dispute Settlement and National Courts : Current Framework and Reform Options
This book examines the multiple intersections between national and international courts in the field of investment protection, and suggests possible modes for regulating future jurisdictional interactions between domestic courts and international tribunals.
Investing in Private Equity Partnerships : The Role of Monitoring and Reporting
Private equity has become an important asset class for institutional investors. As the asset class grows and investors get more experienced, the debate concerning transparency and governance of private equity funds has intensified. Fund investors demand more disclosure from private equity fund managers. Are these calls justified? What information do fund investors need? How can private equity fund investors manage their exposure to the asset class effectively? Kay Müller presents an in-depth analysis into the monitoring activities of institutional investors and explores their information requirements by interviewing leading European private equity fund investors. He contrasts these results with the actual reporting by fund managers and reveals essential information gaps based on a disclosure study of private equity fund reports. Since effective and open communication supports long-lasting and trusted partnerships, these findings provide important guidance on how to improve the relationships between investors and fund managers in the private equity industry.
Investigative Electrocardiography in Epidemiological Studies and Clinical Trials
It reviews the prevalence and incidence and emphasizes the prognostic implications of common ECG abnormalities in contrasting populations. It provides a comprehensive, penetrating and critical analysis of topics such as QT prolongation in clinical drug trials, left ventricular hypertrophy, myocardial ischemia/infarction and epidemiological consideration of relative risks associated with ECG abnormalities. As such it is an essential tool in epidemiological or clinical research using ECGs and in investigations of possible adverse responses of new pharmacological agents.
