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Mathematics for Life Science and Medicine
Dynamical systems theory in mathematical biology has attracted much attention from many scientific directions. The purpose of this volume is to present and discuss the many rich properties of the dynamical systems that appear in life science and medicine. The main topics include cancer treatment, dynamics of paroxysmal tachycardia, vector disease models, epidemic diseases and metapopulations, immune systems, pathogen competition and coexistence and the evolution of virulence and the rapid evolution of viruses within a host. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present new results, and to inspire future contributions to mathematical modeling in life science and medicine.
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 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 Systems Theory I : Modelling, State Space Analysis, Stability and Robustness
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.
Mathematical Models of Distribution Channels
In Chapters 1 and 2 the authors provide an introduction to the current, analytical literature on distribution channels, and they present an intuitively appealing prologue to the Channel Myths that are developed rigorously in later Chapters. In Chapters 3, 4, and 10 they extend the literature by ascertaining the relationship between the manufacturer-optimal wholesale-price strategy and channel breadth. Specific analyses include multiple, non-competing retailers, multiple states-of-nature, and multiple, competing retailers. In Chapters 5-7 the authors determine the profitability of various wholesale-price strategies; this analysis culminates in Chapters 8 and 9 with the determination of the (very limited) conditions under which channel coordination can be optimal for the manufacturer. In Chapter 11 they prove that existing methods of measuring the effect of a change in the degree of inter-retailer substitutability are totally misleading. They then develop an original, theoretical basis for measuring the impact of a change in the degree of inter-retailer substitutability that yields insightful, intuitively appealing results. In Chapter 12 the authors set forth an agenda for future research based on a meta-model that embraces all existing models in the literature. They also issue an appeal for creation of a "Unifying Theory of Distribution Channels" that will enable researchers to work independently and yet to contribute toward the common goal of deepening the marketing science professions’ understanding of distribution channels.
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."
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.
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.
Iron metabolism : Methods and protocols
Explores classical and cutting-edge methods optimized and validated to analyze various aspects of iron metabolism, from in vitro to multi-organ level. Opening with a section on basic iron metabolism methods, the book continues with methods applicable to a variety of systems, ranging from bacteria to cultured mammalian cells and tissues, with a focus on cellular heme and iron-sulfur cluster species, as well as mitochondrial iron and its derivatives. Written for the highly successful Methods in Molecular Biology series, chapters include introductions to their respective topics, lists of the necessary materials and reagents, step-by-step and readily reproducible laboratory protocols, and tips on troubleshooting and avoiding known pitfalls.
IQ Calibration Techniques for CMOS Radio Tranceivers
There are a lot of factors that degrade the matching of gains and phases between I/Q signals: the instinct layout mismatch, the random mismatch of the devices, the different temperatures over the I/Q signal paths. IQ Calibration Techniques For CMOS Radio Transceivers describes a fully-analog compensation technique without baseband circuitry to control the calibration process. This book will use an 802.11g transceiver design as an example to give a detailed description on the I/Q gains and phases imbalance auto-calibration mechanism.
IP Traffic Theory and Performance
This book presents different approaches in IP traffic theory and classifies them, especially towards applications in the Internet. It comprises the state of the art in this area, which is currently presented only by numerous research papers and overview articles. The book provides an ideal starting point for detailed studies of traffic analysis in IP networks. It gives the reader the possibility to judge on different models and to select the appropriate for his individual needs in applications.
Ionospheric multi-spacecraft analysis tools : Approaches for deriving ionospheric parameters
This book provides a comprehensive toolbox of analysis techniques for ionospheric multi-satellite missions. The immediate need for this volume was motivated by the ongoing ESA Swarm satellite mission, but the tools that are described are general and can be used for any future ionospheric multi-satellite mission with comparable instrumentation.
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.
Inverse Problems and Imaging : Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy September 15–21, 2002
Nowadays we are facing numerous and important imaging problems: nondestructive testing of materials, monitoring of industrial processes, enhancement of oil production by efficient reservoir characterization, emerging developments in noninvasive imaging techniques for medical purposes - computerized tomography (CT), magnetic resonance imaging (MRI), positron emission tomography (PET), X-ray and ultrasound tomography, etc. In the CIME Summer School on Imaging (Martina Franca, Italy 2002), leading experts in mathematical techniques and applications presented broad and useful introductions for non-experts and practitioners alike to many aspects of this exciting field. The volume contains part of the above lectures completed and updated by additional contributions on other related topics: a general presentation and introduction (Moscoso), X-ray tomography (Natterer), Electromagnetic imaging (Dorn, Bertete-Aguirre, Papanicolaou), coherent imaging in telecommunications in a multiple input-multiple output setup (Dorn), polarization based optical imaging (Moscoso), topological derivatives used in shape reconstruction related to inverse scattering problems (Carpio, Rapún), Point interactions (Dell’Antonio, Figari, Teta).
Introduction to Wave Scattering, Localization and Mesoscopic Phenomena
Waves represent a classic topic of study in physics, mathematics, and engineering. Many modern technologies are based on our understanding of waves and their interaction with matter. In the past thirty years there have been some revolutionary developments in the study of waves. The present volume is the only available source which details these developments in a systematic manner, with the aim of reaching a broad audience of non-experts. It is an important resource book for those interested in understanding the physics underlying nanotechnology and mesoscopic phenomena, as well as for bridging the gap between the textbooks and research frontiers in any wave related topic. A special feature of this volume is the treatment of classical and quantum mechanical waves within a unified framework, thus facilitating an understanding of similarities and differences between the two.
Introduction to toxicology
Charts the evolution of the field of toxicology, from the use of natural toxins by ancient tribes through the developments established by Paracelsus, and progresses through to the current topics in the public interest. For centuries, the study of toxicology has fascinated students. The book begins with basic toxicological principles, including an historical summary, dose-response relationships (NEW chapter), exposure-response relationships (NEW chapter), disposition, and metabolism of xenobiotic toxic substances. Other important new chapters include target organ toxicity, toxicity of carcinogenic agents and new and updated concepts in toxicity testing, and antidotes and treatment of poisonings. In all, nine new or expanded chapters from the third edition are advanced. Current concerns about the effects of therapeutic drugs, carcinogens, industrial toxins, pesticides, and herbicides on human health, animal welfare, and the stability and maintenance of the ecosystem continue to highlight toxicology as an important and growing scientific discipline.
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 Probability with Statistical Applications
This textbook is an introduction to probability and statistics for non-mathematics majors who do not need the exhaustive detail and mathematical depth provided in more comprehensive treatments of the subject. The presentation covers the mathematical laws of random phenomena, including discrete and continuous random variables, expectation and variance, and common probability distributions such as the binomial, Poisson, and normal distributions. Main statistical concepts considered are point and interval estimates, hypothesis testing, power function, various statistical tests: z, t, chi-square and Kolmogorov-Smirnov.
Introduction to Planetary Science : The Geological Perspective
This textbook is intended to be used in a lecture course for college students majoring in the Earth Sciences. Planetary Science provides an opportunity for these students to apply a wide range of subject matter pertaining to the Earth to the study of other planets of the solar system and their principal satellites. As a result, students gain a wider perspective of the different worlds that are accessible to us and they are led to recognize the Earth as the only oasis in space where we can live without life-support systems.The subject matter is presented in 24 chapters that lead the reader through the solar system starting with historical perspectives on space exploration and the development of the scientific method. The presentations concerning the planets and their satellites emphasize that their origin and subsequent evolution can be explained by applications of certain basic principles of physics, chemistry, and celestial mechanics and that the surface features of the solid bodies in the solar system can be interpreted by means of the principles of geology.
