الصفحة 6
الصفحة 6
Mathematics and the Historians Craft : The Kenneth O. May Lectures
Mathematical practitioners, for pedagogical reasons or to contextualize the work, tend to focus on finding the antecedents for current mathematical theories in a search for how particular subdisciplines and results came to be as they are today. On the other hand, historians of mathematics bypass the current state of affairs, and are more interested in questions that bear on the changing nature of the discipline itself.
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.
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 Problems in Image Processing : Partial Differential Equations and the Calculus of Variations
The goals of this book are to present a variety of image analysis applications, the precise mathematics involved and how to discretize them. Thus, this book is intended for two audiences. The first is the mathematical community by showing the contribution of mathematics to this domain. It is also the occasion to highlight some unsolved theoretical questions. The second is the computer vision community by presenting a clear, self-contained and global overview of the mathematics involved in image processing problems. This work will serve as a useful source of reference and inspiration for fellow researchers in Applied Mathematics and Computer Vision, as well as being a basis for advanced courses within these fields.
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."
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.
IoT and AI Technologies for Sustainable Living : A Practical Handbook
Brings together all the latest methodologies, tools and techniques related to the Internet of Things and Artificial Intelligence in a single volume to build insight into their use in sustainable living. The areas of application include agriculture, smart farming, healthcare, bioinformatics, self-diagnosis systems, body sensor networks, multimedia mining, and multimedia in forensics and security. Provides a comprehensive discussion of modeling and implementation in water resource optimization, recognizing pest patterns, traffic scheduling, web mining, cyber security and cyber forensics. It will help develop an understanding of the need for AI and IoT to have a sustainable era of human living. The tools covered include genetic algorithms, cloud computing, water resource management, web mining, machine learning, block chaining, learning algorithms, sentimental analysis and Natural Language Processing (NLP).
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 : Mathematical and Analytical Techniques with Applications to Engineering
This book presents the theory of inverse spectral and scattering problems and of many other inverse problems for differential equations in an essentially self-contained way. An outline of the theory of ill-posed problems is given, because inverse problems are often ill-posed.
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.
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 basic concepts of modern physics : Special relativity, quantum and statistical physics
These notes are designed as a text book for a course on the Modern Physics Theory for undergraduate students. The purpose is providing a rigorous and self-contained presentation of the simplest theoretical framework using elementary mathematical tools.
Introduction to Symplectic Dirac Operators
One of the basic ideas in differential geometry is that the study of analytic properties of certain differential operators acting on sections of vector bundles yields geometric and topological properties of the underlying base manifold. Symplectic spinor fields are sections in an L^2-Hilbert space bundle over a symplectic manifold and symplectic Dirac operators, acting on symplectic spinor fields, are associated to the symplectic manifold in a very natural way. Hence they may be expected to give interesting applications in symplectic geometry and symplectic topology. These symplectic Dirac operators are called Dirac operators, since they are defined in an analogous way as the classical Riemannian Dirac operator known from Riemannian spin geometry. They are called symplectic because they are constructed by use of the symplectic setting of the underlying symplectic manifold. This volume is the first one that gives a systematic and self-contained introduction to the theory of symplectic Dirac operators and reflects the current state of the subject. At the same time, it is intended to establish the idea that symplectic spin geometry and symplectic Dirac operators may give valuable tools in symplectic geometry and symplectic topology,
Introduction to materials science for engineers
Provides balanced, current treatment of the full spectrum of engineering materials, covering all the physical properties, applications and relevant properties associated with engineering materials. It explores all of the major categories of materials while also offering detailed examinations of a wide range of new materials with high-tech applications.
Introduction to food chemistry
Bridges this gap in the relevant literature, as it employs the latest pedagogical theories in textbook writing to present the subject to students with broad range of cognitive skills. This book presents specific learning objectives for each chapter and is self-contained so students will not need to search for essential information outside the textbook. This new edition has been expanded to include chapters on sweeteners, glass transition, amino acids, proteins for major food commodities and food additives. All of the original chapters have been updated and expanded to include new research and technologies.
Introduction to Empirical Processes and Semiparametric Inference
This book provides a self-contained, linear, and unified introduction to empirical processes and semiparametric inference. These powerful research techniques are surprisingly useful for developing methods of statistical inference for complex models and in understanding the properties of such methods. The targeted audience includes statisticians, biostatisticians, and other researchers with a background in mathematical statistics who have an interest in learning about and doing research in empirical processes and semiparametric inference but who would like to have a friendly and gradual introduction to the area. The book can be used either as a research reference or as a textbook. The level of the book is suitable for a second year graduate course in statistics or biostatistics, provided the students have had a year of graduate level mathematical statistics and a semester of probability.
Introduction to Cryptography : Principles and Applications
In the first part, this book covers the key concepts of cryptography on an undergraduate level, from encryption and digital signatures to cryptographic protocols. In the second part, more advanced topics are addressed, such as the bit security of one-way functions and computationally perfect pseudorandom bit generators.
Introduction to Calculus and Classical Analysis
This text is intended for an honors calculus course or for an introduction to analysis. Involving rigorous analysis, computational dexterity, and a breadth of applications, it is ideal for undergraduate majors. This second edition includes corrections as well as some additional material.The text is completely self-contained and starts with the real number axioms; the integral is defined as the area under the graph, while the area is defined for every subset of the plane; there is a heavy emphasis on computational problems.
Introduction to Algorithms
Combines rigor and comprehensiveness. The book covers a broad range of algorithms in depth, yet makes their design and analysis accessible to all levels of readers. Each chapter is relatively self-contained and can be used as a unit of study. The algorithms are described in English and in a pseudocode designed to be readable by anyone who has done a little programming. The explanations have been kept elementary without sacrificing depth of coverage or mathematical rigor. The first edition became a widely used text in universities worldwide as well as the standard reference for professionals. The second edition featured new chapters on the role of algorithms, probabilistic analysis and randomized algorithms, and linear programming.
Introduction to Algorithms
Combines rigor and comprehensiveness. It covers a broad range of algorithms in depth, yet makes their design and analysis accessible to all levels of readers, with self-contained chapters and algorithms in pseudocode. Since the publication of the first edition, Introduction to Algorithms has become the leading algorithms text in universities worldwide as well as the standard reference for professionals. This fourth edition has been updated throughout.
