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Mathematica for Theoretical Physics : Classical Mechanics and Nonlinear Dynamics
Mathematica for Theoretical Physics: Classical Mechanics and Nonlinear Dynamics This second edition of Baumann's Mathematica® in Theoretical Physics shows readers how to solve physical problems and deal with their underlying theoretical concepts while using Mathematica® to derive numeric and symbolic solutions. Each example and calculation can be evaluated by the reader, and the reader can change the example calculations and adopt the given code to related or similar problems. The second edition has been completely revised and expanded into two volumes: The first volume covers classical mechanics and nonlinear dynamics. Both topics are the basis of a regular mechanics course. The second volume covers electrodynamics, quantum mechanics, relativity, and fractals and fractional calculus. New examples have been added and the representation has been reworked to provide a more interactive problem-solving presentation. This book can be used as a textbook or as a reference work, by students and researchers alike. A brief glossary of terms and functions is contained in the appendices.
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.
Materials Fundamentals of Gate Dielectrics
This book presents materials fundamentals of novel gate dielectrics that are being introduced into semiconductor manufacturing to ensure the continuous scalling of the CMOS devices. This is a very fast evolving field of research so we choose to focus on the basic understanding of the structure, thermodunamics, and electronic properties of these materials that determine their performance in device applications. Most of these materials are transition metal oxides. Ironically, the d-orbitals responsible for the high dielectric constant cause sever integration difficulties thus intrinsically limiting high-k dielectrics. Though new in the electronics industry many of these materials are wel known in the field of ceramics, and we describe this unique connection. The complexity of the structure-property relations in TM oxides makes the use of the state of the art first-principles calculations necessary. Several chapters give a detailed description of the modern theory of polarization, and heterojunction band discontinuity within the framework of the density functional theory. Experimental methods include oxide melt solution calorimetry and differential scanning calorimetry, Raman scattering and other optical characterization techniques, transmission electron microscopy, and x-ray photoelectron spectroscopy.
Materials for Tomorrow : Theory, Experiments and Modelling
This book contains six chapters on central topics in materials science. Each is written by specialists in the field, and gives a state-of-the-art presentation of the subject for graduate students and scientists not necessarily working in that field. Computer simulations of new materials, theory and experimental work are all extensively discussed. As nanomaterials are of great current interest, most of the topics discussed have a bearing on nanomaterials and nanodevices. In addition to inorganic nanotubes, metallic nanocrystals, electronic nanodevices, spintronics and interfaces on an atomic scale, the text also presents computer simulations on one of the less well understood fields in solid-state physics and materials science: glasses and undercooled fluids.
Materials for Springs
“Materials for springs” is basically intended for engineers related to spring materials and technologies who graduated from metallurgical or mechanical engineering courses in technical high school, or in other higher engineering schools, as well as those who are related to the purchase or sales of spring materials. The first chapter introduces into the fundamental selection processes of spring materials including the information sources on materials database. It is followed by the basic mechanisms and theories of spring failures such as fatigue fracture, creep/stress relaxation and stress corrosion cracking of metallic materials.
Material Properties under Intensive Dynamic Loading
Understanding the physical and thermomechanical response of materials subjected to intensive dynamic loading is a challenge of great significance in engineering today. This volume assumes the task of gathering both experimental and diagnostic methods in one place, since not much information has been previously disseminated in the scientific literature. This book will thus be an invaluable companion for both the seasoned practioner as well as for the novice entering the field of experimental shock physics.
Material Inhomogeneities and their Evolution : A Geometric Approach
The first part of the book deals with the geometrical description of uniform bodies and their homogeneity (i.e., integrability) conditions. In the second part, a theory of material evolution is developed and its relevance in various applied contexts discussed. The necessary geometrical notions are introduced as needed in the first two parts but often without due attention to an uncompromising mathematical rigour. This task is left for the third part of the book, which is a highly technical compendium of those concepts of modern differential geometry that are invoked in the first two parts (differentiable manifolds, Lie groups, jets, principal fibre bundles, G-structures, connections, frame bundles, integrable prolongations, groupoids, etc.).
Material Agency : Towards a Non-Anthropocentric Approach
This book is a groundbreaking attempt to address questions of non-human and material agency from a wide range of perspectives and disciplines: archaeology, anthropology, sociology, cognitive science, philosophy, and economics. The editors and authors demostrate that a distributed, relational approach to agency, incorporating both humans and artifacts, has important ramifications for how we understand material culture.
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 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 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.
Mass Extinction
The present book combines three main aspects: five major mass extinctions; contributions on some other minor extinctions; and more importantly contributions on the current mass extinction.
Masonry Constructions : Mechanical Models and Numerical Applications
This monograph firstly provides a detailed description of the constitutive equation of masonry-like materials, clearly setting out its most important features. It then goes on to provide a numerical procedure to solve the equilibrium problem of masonry solids.
Mary and Early Christian Women : Hidden Leadership
This book reveals exciting early Christian evidence that Mary was remembered as a powerful role model for women leaders—women apostles, baptizers, and presiders at the ritual meal. Early Christian art portrays Mary and other women clergy serving as deacon, presbyter/priest, and bishop. In addition, the two oldest surviving artifacts to depict people at an altar table inside a real church depict women and men in a gender-parallel liturgy inside two of the most important churches in Christendom—Old Saint Peter’s Basilica in Rome and the second Hagia Sophia in Constantinople. Dr. Kateusz’s research brings to light centuries of censorship, both ancient and modern, and debunks the modern imagination that from the beginning only men were apostles and clergy.
Marxist Philosophy in China : From Qu Qiubai to Mao Zedong, 1923-1945
The book sets the philosophical writings of philosophers in the context of the development of Marxist philosophy internationally, and examines particularly the influence on these philosophers of Soviet Marxist philosophy. It argues that these Chinese Marxist philosophers’ interpretations of Marxist philosophy were quite orthodox when judged by the standards of contemporary Soviet Marxism. The book explores core themes in Marxist philosophy in China, including the dilemma of determinism, and investigates the way in which these Chinese Marxist philosophers sought a formula for the ‘Sinification’ of Marxist philosophy that both retained the universal dimensions of Marxism and allowed its application to the Chinese context. The book concludes with analysis of the role of the Yanan New Philosophy Association in developing from Soviet Marxist philosophy the philosophical dimension of Mao Zedong Thought, the official ideology of the Chinese Communist Party after 1945.
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.
Martens and Fishers (Martes) in human-altered environments : An international perspective
Examines the conditions where humans and martens are compatible and incompatible, and promotes land use practices that allow Martes to be representatively distributed and viable. All Martes have been documented to use forested habitats and 6 species (excluding the stone marten) are generally considered to require complex mid- to late-successional forests throughout much of their geographic ranges. All species in the genus require complex horizontal and vertical structure to provide escape cover protection from predators, habitat for their prey, access to food resources, and protection from the elements. Martens and the fisher have high metabolic rates, have large spatial requirements, have high surface area to volume ratios for animals that often inhabit high latitudes, and often require among the largest home range areas per unit body weight of any group of mammals. Resulting from these unique life history characteristics, this genus is particularly sensitive to human influences on their habitats, including habitat loss, stand-scale simplification of forest structure via some forms of logging, and landscape-scale effects of habitat fragmentation. Given their strong associations with structural complexity in forests, martens and the fisher are often considered as useful barometers of forest health and have been used as ecological indicators, flagship, and umbrella species in different parts of the world. Thus, efforts to successfully conserve and manage martens and fishers are associated with the ecological fates of other forest dependent species and can greatly influence ecosystem integrity within forests that are increasingly shared among wildlife and humans.We have made great strides in our fundamental understanding of how animals with these unique life history traits perceive and utilize habitats, respond to habitat change, and how their populations function and perform under different forms of human management and mismanagement.
Mars, A Cosmic Stepping Stone : Uncovering Humanity’s Cosmic Context
The questions of our origin and cosmic abundance of life are among the compelling facing humanity. For all of the difficulties facing us however, the planet Mars may act as a cosmic stepping stone in uncovering the answers. This book examines these issues in one of the comprehensive treatments about Mars and our legacy of engagement with it.
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)
