الصفحة 56
الصفحة 56
Mathematical Methods for Mechanics : A Handbook with MATLAB Experiments
The interaction between mathematics and mechanics is a never ending source of new developments. Today, challenging problems like space flight, gyroscope motions and tidal currents, can be studied on a laptop, feats that people still in the 1950’s dreamed of accomplishing. The present textbook addresses such problems and moreover, a wide-ranging spectrum of topics from bifurcation theory, optimization and control to rigid-body motion and continuum mechanics of elastic bodies and fluids. It fully encompasses the provision of mathematical tools up to their technical application. Because verifiability is a main element of science and numerical mathematics remain lackluster without demonstrations, a portion of the book is dedicated purely to computations.
Mathematical methods and modelling in hydrocarbon exploration and production
Hydrocarbon exploration and production incorporate great technology challenges for the oil and gas industry. In order to meet the world's future demand for oil and gas, further technological advance is needed, which in turn requires research across multiple disciplines, including mathematics, geophysics, geology, petroleum engineering, signal processing, and computer science. This book addresses important aspects and fundamental concepts in hydrocarbon exploration and production. Moreover, new developments and recent advances in the relevant research areas are discussed, whereby special emphasis is placed on mathematical methods and modelling. The book reflects the multi-disciplinary character of the hydrocarbon production workflow, ranging from seismic data imaging, seismic analysis and interpretation and geological model building, to numerical reservoir simulation. Various challenges concerning the production workflow are discussed in detail.
Mathematical Masterpieces : Further Chronicles by the Explorers
Experience the discovery of mathematics by reading the original work of some of the greatest minds throughout history. Here are the stories of four mathematical adventures, including the Bernoulli numbers as the passage between discrete and continuous phenomena, the search for numerical solutions to equations throughout time, the discovery of curvature and geometric space, and the quest for patterns in prime numbers. Each story is told through the words of the pioneers of mathematical thought. Particular advantages of the historical approach include providing context to mathematical inquiry, perspective to proposed conceptual solutions, and a glimpse into the direction research has taken.
Mathematical Formulas for Economists
The present collection of formulas has been composed for students of economics or management science at universities, colleges and trade schools. It contains basic knowledge in mathematics, financial mathematics and statistics in a compact and clearly arranged form. This volume is meant to be a reference work to be used by students of undergraduate courses together with a textbook and by researchers in need of exact statements of mathematical results. People dealing with practical or applied problems will also find this collection to be an efficient and easy-to-use work of reference.
Mathematical Events of the Twentieth Century
Russian mathematics (later Soviet mathematics, and Russian mathematics once again) occupies a special place in twentieth-century mathematics. In addition to its well-known achievements, Russian mathematics established a unique style of research based on the existence of prominent mathematical schools. These schools were headed by recognized leaders, who became famous due to their talents and outstanding contributions to science. The present collection is intended primarily to gather in one book the t- timonies of the participants in the development of mathematics over the past century. In their articles the authors have expressed their own points of view on the events that took place. The editors have not felt that they had a right to make any changes, other than stylistic ones, or to add any of their own commentary to the text. Naturally, the points of view of the authors should not be construed as those of the editors. The list of mathematicians invited to participate in the present edition was quite long.
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.
Mathematica for Theoretical Physics : Electrodynamics, Quantum Mechanics, General Relativity, and Fractals
Mathematica for Theoretical Physics: Electrodynamics, Quantum Mechanics, General Relativity, and Fractals 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.
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.
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.
Materials, Chemicals and Methods for Dental Applications
Focuses on the materials used for dental applications looking at the fundamental issues and the developments that have taken place the past decade. While it provides a broad overview of dental materials, the chemicals that are used for the preparation and fabrication of dental materials are explained as well. Also, the desired properties of these materials are discussed and the relevance of the chemical, physical, and mechanical properties is elucidated. Methods for the characterization and classification, as well as clinical studies are reviewed here. In particular, materials for dental crowns, implants, toothpaste compositions, mouth rinses, as well as materials for toothbrushes and dental floss are discussed. For example, in toothpaste compositions, several classes of materials an chemcials are incorporated, such as abrasives, detergents, humectants, thickeners, sweeteners, coloring agents, bad breath reduction agents, flavoring agents, tartar control agents, and others. These chemicals, together with their structures, are detailed in the text.
Materials Issues for Generation IV Systems ; Status, Open Questions and Challenges
Global warming, shortage of low-cost oil resources and the increasing demand for energy are currently controlling the world's economic expansion while often opposing desires for sustainable and peaceful development. In this context, atomic energy satisfactorily fulfills the criteria of low carbon gas production and high overall yield. However, in the absence of industrial fast-breeders the use of nuclear fuel is not optimal, and the production of high activity waste materials is at a maximum. These are the principal reasons for the development of a new, fourth generation of nuclear reactors, minimizing the undesirable side-effects of current nuclear energy production technology while increasing yields by increasing operation temperatures and opening the way for the industrial production of hydrogen through the decomposition of water.
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 Chemistry
"Written to fill the need for a textbook that addresses inorganic-, organic-, and nano-based materials from a structure vs. property treatment, Materials Chemistry aims to provide a suitable breadth and depth coverage of the rapidly evolving materials field - in a concise format. This modern treatment offers innovative coverage and practical perspective throughout.
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 Design : Informing Architecture by Materiality
The approach of Material Design opens the way to an innovative use of materials in the design professions. Taking material qualities and properties such as texture, elasticity and transparency as a point of departure, the book describes a multitude of material operations, like folding and bending, carving and cutting, weaving and knitting, mirroring and screening.
Master Dentistry ; Vol.1 : Oral and Maxillofacial Surgery, Radiology, Pathology and Oral Medicine
Provides a comprehensive overview of the oral and maxillofacial subjects in dentistry that students will need in order to pass their final exams. This invaluable adjunct to exam preparation provides a practical synthesis of core information, reflecting real-life case scenarios. Information is structured to enhance understanding and clinical decision making, and a variety of self-assessment methods prepare students for success. Comprehensively updated, the book covers a range of essential topics in the field of contemporary oral and maxillofacial subjects, including surgical flap design, state-of-the-art surgical techniques, zygomatic implants, molecular pathology, current imaging applications and pain management. The text is integrated and evidence based throughout. Covers oral and maxillofacial surgery, radiology, pathology and oral medicine subjects Brand new chapter on facial skin broadens diagnostic ability Range of self-assessment tasks to support learning Aligns to dental school curricula globally Concise and easy to follow Designed to support recall for examination purposes Practical guidance on examination preparation and skills Perfect for BDS exam preparation and candidates taking the MFDS, MJDF, ORE or other post-graduate exams
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.
Martin Waldseemüller’s 'Carta marina' of 1516 : Study and transcription of the long legends
This book presents the first detailed study of one of the most important masterpieces of Renaissance cartography, Martin Waldseemüller’s Carta marina of 1516. By transcribing, translating into English, and detailing the sources of all of the descriptive texts on the map, as well as the sources of many of the images, the book makes the map available to scholars in a wholly unprecedented way.
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.
