الصفحة 181
الصفحة 181
Mathematics and the Aesthetic : New Approaches to an Ancient Affinity
The essays in this book explore the ancient affinity between the mathematical and the aesthetic, focusing on the fundamental connections between these two modes of reasoning and communicating. From historical, philosophical and psychological perspectives, with particular attention to certain mathematical areas such as geometry and analysis, the authors examine the ways in which the aesthetic is ever present in mathematical thinking and contributes to the growth and value of mathematical knowledge.
Mathematics and Politics : Strategy, Voting, Power and Proof
Mathematics and Politics requires no prerequisites in either subject. The underlying philosophy involves minimizing algebraic computations while focusing on the conceptual aspects of mathematics in the context of real-world questions in political science. This new addition has an added co-author, Allison Pacelli, and covers six major topics: social choice, yes-no voting systems, political power, game-theoretic models of international conflict, fairness, and escalation. In addition to having two new chapters (treating apportionment and conflict resolution), the text has been extensively reorganized and the number of exercises increased to over 300.
Mathematics and Computation, a Contemporary View ; The Abel Symposium 2006
The 2006 Abel symposium is focusing on contemporary research involving interaction between computer science, computational science and mathematics. In recent years, computation has been affecting pure mathematics in fundamental ways. Conversely, ideas and methods of pure mathematics are becoming increasingly important within computational and applied mathematics. At the core of computer science is the study of computability and complexity for discrete mathematical structures. Studying the foundations of computational mathematics raises similar questions concerning continuous mathematical structures. There are several reasons for these developments. The exponential growth of computing power is bringing computational methods into ever new application areas.
Mathematical Theory of Feynman Path Integrals : An Introduction
Feynman path integrals, suggested heuristically by Feynman in the 40s, have become the basis of much of contemporary physics, from non-relativistic quantum mechanics to quantum fields, including gauge fields, gravitation, cosmology. Recently ideas based on Feynman path integrals have also played an important role in areas of mathematics like low-dimensional topology and differential geometry, algebraic geometry, infinite-dimensional analysis and geometry, and number theory.
Mathematical Techniques in Finance : An Introduction
In Mathematical Techniques in Finance: An Introduction, distinguished finance professional Amir Sadr delivers an essential and practical guide to the mathematical foundations of various areas of finance, including corporate finance, investments, risk management, and more.
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.
Mathematical Problems from Applied Logic I : Logics for the XXIst Century
Mathematical Problems from Applied Logic I presents chapters from selected, world renowned, logicians. Important topics of logic are discussed from the point of view of their further development in light of requirements arising from their successful application in areas such as Computer Science and AI language. An overview of the current state as well as open problems and perspectives are clarified in such fields as non-standard inferences in description logics, logic of provability, logical dynamics and computability theory. The book contains interesting contributions concerning the role of logic today, including some unexpected aspects of contemporary logic and the application of logic. This should be of interest to logicians and mathematicians in general.
Mathematical Morphology : 40 Years On ; Proceedings of the 7th International Symposium on Mathematical Morphology, April 18-20, 2005
Mathematical Morphology is a speciality in Image Processing and Analysis, which considers images as geometrical objects, to be analyzed through their interactions with other geometrical objects. It relies on several branches of mathematics, such as discrete geometry, topology, lattice theory, partial differential equations, integral geometry and geometrical probability. It has produced fast and efficient algorithms for computer analysis of images, and has found applications in bio-medical imaging, materials science, geoscience, remote sensing, quality control, document processing and data analysis. This book contains the 43 papers presented at the 7th International Symposium on Mathematical Morphology, held in Paris on April 18-20, 2005. It gives a lively state of the art of current research topics in this field. It also marks a milestone, the 40 years of uninterrupted development of this ever-expanding domain.
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.
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 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.
IPv6 in Practice: A Unixer's Guide to the Next Generation Internet
This book is a practical guide to IPv6 addressing Unix and network administrators with experience in TCP/IP(v4) but not necessarily any IPv6 knowledge. It focuses on reliable and efficient operation of IPv6 implementations available today rather than on protocol specifications. Consequently, it covers the essential concepts - using instructive and thoroughly tested examples - on how to configure, to administrate, and to debug IPv6 setups.
IP Networking over Next-Generation Satellite Systems ; International Workshop, Budapest, July 2007
Highlights the very latest research output of several EU satellite-related projects and addresses many unresolved issues in next-generation satellite systems, such as efficient deployment of IPv6 over satellites, working with WLAN and WiMax, QoS provisioning over multi-segment networks (including satellite networks), multicast networks and security.
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).
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.
Ion Channels
Ion channels play a vital role in basic physiological functions such as generation of electrical activity in nerves and muscle, control of cardiac excitability, intracellular signaling, hormone secretion, cell proliferation and many other biological processes. Because of their prevalence and the critical role they play in virtually all tissue types and organs, ion channels are also involved in a number of pathophysiological conditions. The aim of this volume is to review recent advances in the field of ion channel related diseases. Following an overview chapter summarizing the current state of ion channel screening technologies, five topics covering areas such as cancer, cardiac arrhythmias, cystic fibrosis, and pain have been selected, and the current state of knowledge is presented by leading experts in their field.
Invited Lectures from the 13th International Congress on Mathematical Education
The book presents the Invited Lectures given at 13th International Congress on Mathematical Education (ICME-13). The papers present the work of prominent mathematics educators from all over the globe and give insight into the current discussion in mathematics education. The Invited Lectures cover a wide spectrum of topics, themes and issues and aim to give direction to future research towards educational improvement in the teaching and learning of mathematics education. This book is of particular interest to researchers, teachers and curriculum developers in mathematics education.
