Maxillofacial surgery and craniofacial deformity: practices and updates
Collects various aspects of facial and cranial deformities in one single textbook in order to have a systematic way of thinking when approaching these interconnected manifestations. Furthermore, other associated social aspects of health care are integrated to give a wider view of the problem and some important considerations of care.
Maxillofacial Imaging
Maxillofacial imaging has evolved dramatically over the past two decades with development of new cross-sectional imaging techniques. Traditional maxillofacial imaging was based on plain films and dental imaging. However, today’s advanced imaging techniques with CT and MRI have only been partially implemented for maxillofacial questions. This book bridges the gap between traditional maxillofacial imaging and advanced medical imaging. We have applied CT and MRI to a variety of maxillofacial cases and these are illustrated with high-quality images and multiple planes. A comprehensive chapter on imaging anatomy is also included. This book is useful for oral and maxillofacial radiologists, oral and maxillofacial surgeons, dentists, radiologists, plastic surgeons, head and neck surgeons, and others that work with severe maxillofacial disorders.
Maxillofacial Imaging
Demonstrates how advanced medical imaging techniques can be successfully applied to dental and maxillofacial conditions. There is a focus on CT and MRI, but the use of all contemporary imaging techniques are illustrated including PET, PET/CT, ultrasonography, and cone beam CT. The presentation is in atlas style, with succinct, bulleted text and a wealth of high-quality images in multiple planes. All images for each patient are grouped to enable the reader very quickly to gain an imaging overview of the condition under consideration. After a comprehensive introductory chapter on normal imaging anatomy, the role of advanced imaging techniques is described in pathologic conditions of the mandible and maxilla, temporomandibular joint, regions closely related to the jaw, paranasal sinuses, oral cavity, salivary glands, and structures adjacent to the maxillofacial region. A concluding chapter examines the use of interventional procedures for diagnosis and treatment of maxillofacial conditions. Compared with the first edition, numerous additional cases have been incorporated and a completely new chapter focuses on cone beam CT.
Matrix-Based Multigrid : Theory and Applications
Multigrid methods are often used for solving partial differential equations. This book introduces and analyzes the multigrid approach. The approach used here applies to both test problems on rectangular grids and to more realistic applications with complicated grids and domains.
Matrix Convolution Operators on Groups
In the last decade, convolution operators of matrix functions have received unusual attention due to their diverse applications. This monograph presents some new developments in the spectral theory of these operators. The setting is the Lp spaces of matrix-valued functions on locally compact groups. The focus is on the spectra and eigenspaces of convolution operators on these spaces, defined by matrix-valued measures. Among various spectral results, the L2-spectrum of such an operator is completely determined and as an application, the spectrum of a discrete Laplacian on a homogeneous graph is computed using this result. The contractivity properties of matrix convolution semigroups are studied and applications to harmonic functions on Lie groups and Riemannian symmetric spaces are discussed. An interesting feature is the presence of Jordan algebraic structures in matrix-harmonic functions.
Matrix Algebra From a Statistician`s Perspective
This book presents matrix algebra in a way that is well-suited for those with an interest in statistics or a related discipline. It provides thorough and unified coverage of the fundamental concepts along with the specialized topics encountered in areas of statistics such as linear statistical models and multivariate analysis. It includes a number of very useful results that have only been available from relatively obscure sources. Detailed proofs are provided for all results. The style and level of presentation are designed to make the contents accessible to a broad audience. The book is essentially self-contained, though it is best-suited for a reader who has had some previous exposure to matrices (of the kind that might be acquired in a beginning course on linear or matrix algebra).
Mathématiques, informatique, physique. Au fil des TIPE = Mathematics, computer science, physics : Throughout the TIPE projects
Presents nine cases in mathematics, physics, or computer science used in the competition. Each case study is accompanied by general remarks, commentary, a suggested outline, questions a jury might ask, and an explanation placing the case study's theme within its scientific context. The authors hope not only to assist CPGE students in their preparation but also to provide valuable support to teachers who have embraced this new pedagogical approach. Laurent Decreusefond and Alain Maruani, the pedagogical coordinators for the mathematics, computer science, and physics component of the TIPE, have made significant contributions to its design and implementation.
Mathematics of Program Construction ; 9th International Conference, MPC 2008, Marseille, France, July 15-18, 2008. Proceedings
This book constitutes the refereed proceedings of the 9th International Conference on Mathematics of Program Construction, MPC 2008, held in Marseille, France in July 2008.The 18 revised full papers presented together with 1 invited talk were carefully reviewed and selected from 41 submissions. Issues addressed range from algorithmics to support for program construction in programming languages and systems. Topics of special interest are type systems, program analysis and transformation, programming language semantics, program logics.
Mathematics of Program Construction ; 8th International Conference, MPC 2006, Kuressaare, Estonia, July 3-5, 2006, Proceedings
This volume contains the proceedings of the 8th International Conference on Mathematics of ProgramConstruction, MPC 2006,held at Kuressaare, Estonia, July 3-5, 2006, colocated with the 11th International Conference on Algebraic Methodology and Software Technology, AMAST 2006, July 5-8, 2006. TheMPCconferencesaimtopromotethedevelopmentofmathematicalpr- ciples and techniques that are demonstrably useful and usable in the process of constructing computer programs. Topics of interest range from algorithmics to support for program construction in programming languages and systems.
Mathematics of Financial Markets
This book presents the mathematics that underpins pricing models for derivative securities, such as options, futures and swaps, in modern financial markets. The idealized continuous-time models built upon the famous Black-Scholes theory require sophisticated mathematical tools drawn from modern stochastic calculus. However, many of the underlying ideas can be explained more simply within a discrete-time framework. This is developed extensively in this substantially revised second edition to motivate the technically more demanding continuous-time theory, which includes a detailed analysis of the Black-Scholes model and its generalizations, American put options, term structure models and consumption-investment problems. The mathematics of martingales and stochastic calculus is developed where it is needed.
Mathematics for Ecology and Environmental Sciences
Dynamical systems theory in mathematical biology has attracted much attention from many scientific directions. The purpose of this volume is to discuss the many rich and interesting properties of dynamical systems that appear in ecology and environmental sciences. The main topics include population dynamics with dispersal, nonlinear discrete population dynamics, structured population models, mathematical models in evolutionary ecology, stochastic spatial models in ecology, game dynamics and the chemostat model. Each chapter will serve to introduce students and scholars to the state-of-the-art in an exciting area, to present important new results, and to inspire future contributions to mathematical modeling in ecology and environmental sciences.
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 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 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.



















