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الصفحة 5
الصفحة 5
Mathematical Epidemiology
Based on lecture notes of two summer schools with a mixed audience from mathematical sciences, epidemiology and public health, this volume offers a comprehensive introduction to basic ideas and techniques in modeling infectious diseases, for the comparison of strategies to plan for an anticipated epidemic or pandemic, and to deal with a disease outbreak in real time. It covers detailed case studies for diseases including pandemic influenza, West Nile virus, and childhood diseases. Models for other diseases including Severe Acute Respiratory Syndrome, fox rabies, and sexually transmitted infections are included as applications. Its chapters are coherent and complementary independent units. In order to accustom students to look at the current literature and to experience different perspectives, no attempt has been made to achieve united writing style or unified notation.
Mathematical Control Theory and Finance
This book highlights recent developments in mathematical control theory and its applications to finance. It presents a collection of original contributions by distinguished scholars, addressing a large spectrum of problems and techniques. Control theory provides a large set of theoretical and computational tools with applications in a wide range of fields, ranging from "pure" areas of mathematics up to applied sciences like finance. Stochastic optimal control is a well established and important tool of mathematical finance. Other branches of control theory have found comparatively less applications to financial problems, but the exchange of ideas and methods has intensified in recent years. This volume should contribute to establish bridges between these separate fields. The diversity of topics covered as well as the large array of techniques and ideas brought in to obtain the results make this volume a valuable resource for advanced students and researchers.
Mathematical Control Theory : An Introduction
Mathematical Control Theory: An Introduction presents, in a mathematically precise manner, a unified introduction to deterministic control theory. With the exception of a few more advanced concepts required for the final part of the book, the presentation requires only a knowledge of basic facts from linear algebra, differential equations, and calculus. In addition to classical concepts and ideas, the author covers the stabilization of nonlinear systems using topological methods, realization theory for nonlinear systems, impulsive control and positive systems, the control of rigid bodies, the stabilization of infinite dimensional systems, and the solution of minimum energy problems.
Mathematical Aspects of Classical and Celestial Mechanics
In this book we describe the basic principles, problems, and methods of clssical mechanics. Our main attention is devoted to the mathematical side of the subject. Although the physical background of the models considered here and the applied aspects of the phenomena studied in this book are explored to a considerably lesser extent, we have tried to set forth first and foremost the “working” apparatus of classical mechanics. This apparatus is contained mainly in Chapters 1, 3, 5, 6, and 8. Chapter 1 is devoted to the basic mathematical models of classical - chanics that are usually used for describing the motion of real mechanical systems. Special attention is given to the study of motion with constraints and to the problems of realization of constraints in dynamics. In Chapter 3 we discuss symmetry groups of mechanical systems and the corresponding conservation laws. We also expound various aspects of ord- reduction theory for systems with symmetries, which is often used in appli- tions. Chapter 4 is devoted to variational principles and methods of classical mechanics. They allow one, in particular, to obtain non-trivial results on the existence of periodic trajectories. Special attention is given to the case where the region of possible motion has a non-empty boundary. Applications of the variational methods to the theory of stability of motion are indicated.
Mathematical and Computational Models for Congestion Charging
This book presents rigorous treatments of issues related to congestion pricing. The chapters describe recent advances in areas such as mathematical and computational models for predicting traffic congestion, determining when, where, and how much to levy tolls, and analyzing the impact of tolls on transporation systems. The analyses and methodologies developed in this book provide Mechanisms that aid in determining and comparing congestion pricing schemes; Methodologies for evaluating the efficiency of existing and proposed congestion pricing schemes; A means to predict the impact of pricing on urban transporation systems; and Information essential to the financial and political success of congestion pricing programs.
Mathematical Analysis I
The purpose of the volume is to provide a support for a first course in Mathematical Analysis, along the lines of the recent Programme Specifications for mathematical teaching in European universities. The contents are organised to appeal especially to Engineering, Physics and Computer Science students, all areas in which mathematical tools play a crucial role. Basic notions and methods of differential and integral calculus for functions of one real variable are presented in a manner that elicits critical reading and prompts a hands-on approach to concrete applications. The layout has a specifically-designed modular nature, allowing the instructor to make flexible didactical choices when planning an introductory lecture course. The book may in fact be employed at three levels of depth. At the elementary level the student is supposed to grasp the very essential ideas and familiarise with the corresponding key techniques.
Mathematical Analysis : Linear and Metric Structures and Continuity
The book is divided into three parts. The first part introduces the basic ideas of linear and metric spaces, including the Jordan canonical form of matrices and the spectral theorem for self-adjoint and normal operators. The second part examines the role of general topology in the context of metric spaces and includes the notions of homotopy and degree. The third and final part is a discussion on Banach spaces of continuous functions, Hilbert spaces and the spectral theory of compact operators.
Math Everywhere : Deterministic and Stochastic Modelling in Biomedicine, Economics and Industry
These proceedings are reporting on the conference ''Math Everywhere", a successful event celebrating a leading scientist, promoting ideas he pursued and sharing the open atmosphere he is known for. The areas of the contributions are the following , Deterministic and Stochastic Systems. Mathematical Problems in Biology, Medicine and Ecology, Mathematical Problems in Industry and Economics.
Matetrentino : Percorsi matematici a Trento e dintorni = Matetrentino : Mathematical courses in Trento and the surrounding area
This book and the exhibition it tells arise from the desire to communicate how beautiful and interesting a discipline such as mathematics can be and to bring the curious "visitor" closer to it. Here are collected the texts and images of the four thematic areas (topology, maximum and minimum, visualization and symmetry) developed in the exhibition and illustrated taking inspiration from the reality of Trento and its territory.
Matematica si parte! : Nozioni di base ed esercizi per il primo anno di Ingegneria = Mathematics, let's go! : Basics and exercises for the first year of Engineering
This manual has been created to allow future engineering students to successfully face their studies. Some basic concepts in mathematics are presented, generally already learned before entering the University. It has been found that not all students have a complete mastery of this set of fundamental notions: therefore this manual provides useful support, in the form of both exercises and theoretical notions. The future student will be able to choose the chapters that interest him most, in order to verify his ability to solve problems such as "Review problems", using his own reasoning skills and knowledge.
Matematica generale con il calcolatore
By introducing mathematical objects, it teaches students how to use a computer to perform numerical and symbolic calculations, define a function and calculate its values, plot and explore graphs, and execute simple algorithms. The course is rich in examples, applications, and models, drawn from economics, physics, biology, statistics, and mathematics itself. The analysis of these models constitutes, in a certain sense, the true purpose of the mathematical theory covered. Automatic calculation tools (mathematics software, spreadsheets) are used extensively to explore and illustrate concepts and properties. Mathcad® software, in particular, was used, both as a calculation tool and as a simple yet powerful programming language. Considerable space is devoted to approximation, emphasizing the distinction between numerical and symbolic calculation; to algorithms as a synthesis of the syntactic and semantic aspects of mathematical objects; and to computer simulation, interpreted as a "physical" experiment and a source of conjecture. The ability to use a calculator marks a sort of "democratization" of mathematics: even complex results, which have always required a broad background of knowledge and laborious calculations, are now quickly accessible to anyone who understands the meaning of mathematical objects and knows how to use the syntax.
Matematica e cultura in Europa
Non è vero che la matematica susciti sempre poco interesse. Questa almeno è l'impressione che si ricava quando lo spunto per parlarne viene non solo dalla scienza e dalla tecnologia, ma anche dall'arte, dalla letteratura, dal cinema e dal teatro. Ce lo ha insegnato Michele Emmer con i suoi convegni Matematica e Cultura e lo abbiamo sperimentato a Bologna con le iniziative del 2000 per l'Anno Mondiale della Matematica e per Bologna Città Europea della Cultura. D’altra parte, negli ultimi anni abbiamo finalmente visto sullo schermo come protagonisti di film di successo dei matematici, non rappresentati come individui strani, ma come professionisti che svolgono il proprio lavoro, non necessariamente di insegnanti. Anche alcune opere teatrali di risonanza internazionale hanno parlato di matematici e questo ci ha spinto a organizzare per la prima volta in Italia, a Bologna, la rassegna Matematica e Teatro, che ha dato occasione non solo di assistere a spettacoli molto piacevoli, ma anche di parlare dei rapporti tra scienza, matematica e potere al tempo di Napoleone, di numeri primi, di teoria di Galois.
Matematica e cultura 2008 = mathematics and culture 2008
In this new book, the tenth of the series that began in Venice with the meetings "Mathematics and culture" that many have tried to imitate, we talk about all this and among others Simon Singh (author of the best seller "The last theorem di Fermat "), in her third presence in Venice, and Siobhan Roberts (author of" The king of infinite space. History of the man who saved geometry "). Venice bridge between mathematics and culture.
Matematica e cultura 2007 = Mathematics and culture 2007
We talk about theater even if the page cannot tell about Bustric's unforgettable show. And about art, and applied arts, such as geometric structure and spiritual meaning of the Zen garden of Ryoanji in Kyoto, and of soap bubbles, which are almost never lacking in Venetian encounters, Four-dimensional bubbles and gigantic bubbles that serve as a model for the Olympic swimming pool in Bejing
Matematica e cultura 2006 = Mathematics and Culture 2006
The series Matematica e cultura, through a journey that began ten years ago, in an ever new, surprising and fascinating way, tries to describe the influences and links existing between the world of mathematics and that of aeronautics, medicine, biology, but also art, cinema. , of theater, literature or history: "A tribute to Mario Merz could not be missing, following his Fibonacci numbers towards infinity. And cinema, that of Davide Ferrario who takes up that thread, those numbers that fly over Turin. film on the axiom of parallels, a Venetian film E.
Matematica e cultura 2005 = Mathematics and culture 2005
E si parla di arte; oltre che di Pizzinato, di Pollock, grazie alla collaborazione della Guggenheim Collection di Venezia.E si parla di architettura, dalla topologia ai progetti di Ghery e di Renzo Piano.E di modelli matematici per la lotta contro il cancro, contro l’AIDS.Di come la matematica può aiutare a prevenire e intervenire. E si parla di matematica della guerra e di come la matematica possa aiutare a proteggere l’ambiente. Nel gennaio 2005, scrivendo queste parole, diventa di grande e drammatica attualità l’utilizzo dei modelli matematici per la meteorologia. Prevedere per salvare.
Martingale Methods in Financial Modelling
This book provides a comprehensive, self-contained and up-to-date treatment of the main topics in the theory of option pricing. The first part of the text starts with discrete-time models of financial markets, including the Cox-Ross-Rubinstein binomial model. The passage from discrete- to continuous-time models, done in the Black-Scholes model setting, assumes familiarity with basic ideas and results from stochastic calculus. However, an Appendix containing all the necessary results is included. This model setting is later generalized to cover standard and exotic options involving several assets and/or currencies. An outline of the general theory of arbitrage pricing is presented. The second part of the text is devoted to the term structure modelling and the pricing of interest-rate derivatives. The main emphasis is on models that can be made consistent with market pricing practice.
Markov Processes, Brownian Motion, and Time Symmetry
The book consists of two parts. Part I,This part introduces strong Markov processes and their potential theory. In particular,it studies Brownian motion, and shows how it generates classical potential theory.Part II, focus on the effects of time reversal, duality, and time-symmetry on potential theory. Certain theorems in Part I are re-proved in Part II under slightly weaker hypotheses. The volume is very useful for people who wish to learn Markov processes but it seems to the reviewer that it is also of great interest to specialists in this area who could derive much stimulus from it. One can be convinced that it will receive wide circulation." (Mathematical Reviews)
Markov Decision Processes with Their Applications
Markov decision processes (MDPs), also called stochastic dynamic programming, were first studied in the 1960s. MDPs can be used to model and solve dynamic decision-making problems that are multi-period and occur in stochastic circumstances. There are three basic branches in MDPs: discrete-time MDPs, continuous-time MDPs and semi-Markov decision processes. Starting from these three branches, many generalized MDPs models have been applied to various practical problems. These models include partially observable MDPs, adaptive MDPs, MDPs in stochastic environments, and MDPs with multiple objectives, constraints or imprecise parameters.
Markov Chains : Models, Algorithms and Applications
Markov chains are a particularly powerful and widely used tool for analyzing a variety of stochastic (probabilistic) systems over time. This monograph will present a series of Markov models, starting from the basic models and then building up to higher-order models. Included in the higher-order discussions are multivariate models, higher-order multivariate models, and higher-order hidden models. In each case, the focus is on the important kinds of applications that can be made with the class of models being considered in the current chapter. Special attention is given to numerical algorithms that can efficiently solve the models. Therefore, Markov Chains: Models, Algorithms and Applications outlines recent developments of Markov chain models for modeling queueing sequences, Internet, re-manufacturing systems, reverse logistics, inventory systems, bio-informatics, DNA sequences, genetic networks, data mining, and many other practical systems.
