Mechanics of Continua and Wave Dynamics is a textbook for a course on the mechanics of solids and fluids with the emphasis on wave theory. The material is presented with simplicity and clarity but also with mathematical rigor. Many wave phenomena, especially those of geophysical nature (different types of waves in the ocean, seismic waves in the earth crust, wave propagation in the atmosphere, etc.), are considered. Each subject is introduced with simple physical concepts using numerical examples and models. The treatment then goes into depth and complicated aspects are illustrated by appropriate generalizations. Numerous exercises with solutions will help students to comprehend and assimilate the ideas.
As man turns his attention from the overcrowded continents of this planet and explores the spaciousness of the ocean, the applications of ocean acoustics become increasingly numerous and important. This book pro- vides an up-to-date introduction to the theory of sound propagation in the ocean, with much new material having been added throughout the second edition. It includes both ray and wave treatments and considerable attention is paid to stochastic problems such as the scattering of sound at rough surfaces and random inhomogeneties. An introductory chapter that discusses the basic experimental data complements the following theoretical chapters.
Acoustics of Layered Media II presents the theory of sound propagation and reflection of spherical waves and bounded beams in layered media. It is mathematically rigorous but at the same time care is taken that the physical usefulness in applications and the logic of the theory are not hidden. Both moving and stationary media, discretely and continuously layered, including a range-dependent environment, are treated for various types of acoustic wave sources. Detailed appendices provide further background on the mathematical methods. This second edition reflects the notable recent progress in the field of acoustic wave propagation in inhomogeneous media.
The vigorous development of the internet and other information technologies have significantly expanded the amount and variety of sources of information available on decision making. This book presents the current trends of soft computing applications to the fields of measurements and information acquisition. Main topics are the production and presentation of information including multimedia, virtual environment, and computer animation as well as the improvement of decisions made on the basis of this information in various applications ranging from engineering to business. In order to make high-quality decisions, one has to fuse information of different kinds from a variety of sources with differing degrees of reliability and uncertainty. The necessity to use intelligent methodologies in the analysis of such systems is demonstrated as well as the inspiring relation of computational intelligence to its natural counterpart. This book includes several contributions demonstrating a further movement towards the interdisciplinary collaboration of the biological and computer sciences with examples from biology and robotics.
Broadband optical access network is an ideal solution to alleviate the first/last mile bottleneck of current Internet infrastructures. Richly illustrated throughout to help clarify important topics, Broadband Optical Access Networks covers the architectures, protocols enabling technologies of broadband optical access networks, and all current and future competing technologies for access networks. This comprehensive work presents the evolution of optical access networks, including reach extension, bandwidth enhancement, and discusses the convergence of optical and wireless technologies for broadband access, making it an invaluable reference for researchers, electrical engineers, and graduate students.
This book can be viewed as a scientific investigation combined with methodological studies. For practical reasons each of the methods is described in the following general manner including: the uses and the scientific investigation tasks; methods of sampling; testing equipment; test preparation; tests; data processing; controversial issues and conclusions. Each of the 37 methods contains a range of 1 to 8 variants. As far as we know, the book is the first publication in the field.
The present Yearbook (which is the sixth in the series) is subtitled Economy, Demography, Culture, and Cosmic Civilizations. To some extent it reveals the extraordinary potential of scientific research. The common feature of all our Yearbooks, including the present volume, is the usage of formal methods and social studies methods in their synthesis to analyze different phenomena. In other words, if to borrow Alexander Pushkin's words, ‘to verify the algebra with harmony’. One should note that publishing in a single collection the articles that apply mathematical methods to the study of various epochs and scales – from deep historical reconstruction to the pressing problems of the modern world – reflects our approach to the selection of contributions for the Yearbook. History and Mathematics, Social Studies and formal methods, as previously noted, can bring nontrivial results in the studies of different spheres and epochs. This issue consists of three main sections: (I) Historical and Technological Dimensions includes two papers (the first is about the connection between genes, myths and waves of the peopling of Americas; the second one is devoted to quantitative analysis of innovative activity and competition in technological sphere in the Middle Ages and Modern Period); (II) Economic and Cultural Dimensions (the contributions are mostly focused on modern period); (III) Modeling and Theories includes two papers with interesting models (the first one concerns modeling punctuated equilibria apparent in the macropattern of urbanization over time; in the second one the author attempts to estimate the number of Communicative Civilizations). We hope that this issue will be interesting and useful both for historians and mathematicians, as well as for all those dealing with various social and natural sciences.
Stability conditions for functional differential equations can be obtained using Lyapunov functionals. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations describes the general method of construction of Lyapunov functionals to investigate the stability of differential equations with delays. This work continues and complements the author’s previous book Lyapunov Functionals and Stability of Stochastic Difference Equations, where this method is described for difference equations with discrete and continuous time. The text begins with both a description and a delineation of the peculiarities of deterministic and stochastic functional differential equations. There follows basic definitions for stability theory of stochastic hereditary systems, and the formal procedure of Lyapunov functionals construction is presented. Stability investigation is conducted for stochastic linear and nonlinear differential equations with constant and distributed delays. The proposed method is used for stability investigation of different mathematical models such as: • inverted controlled pendulum; • Nicholson's blowflies equation; • predator-prey relationships; • epidemic development; and • mathematical models that describe human behaviours related to addictions and obesity. Lyapunov Functionals and Stability of Stochastic Functional Differential Equations is primarily addressed to experts in stability theory but will also be of interest to professionals and students in pure and computational mathematics, physics, engineering, medicine, and biology.
Lonely Planet: The world's number one travel guide publisher* Lonely Planet's Germany is your passport to the most relevant, up-to-date advice on what to see and skip, and what hidden discoveries await you. Explore the glamour and grit of Berlin, tour hilltop castles in the fairy tale Black Forest and sail along the romantic Rhine - all with your trusted travel companion. Get to the heart of Germany and begin your journey now! Inside Lonely Planet's Germany: Colour maps and images throughout Highlights and itineraries help you tailor your trip to your personal needs and interests Insider tips to save time and money and get around like a local, avoiding crowds and trouble spots Essential info at your fingertips - hours of operation, phone numbers, websites, transit tips, prices Honest reviews for all budgets - eating, sleeping, sightseeing, going out, shopping, hidden gems that most guidebooks miss Cultural insights provide a richer, more rewarding travel experience - history, people, music, landscapes, wildlife, cuisine, politics Covers Berlin and around, Saxony, Munich and Bavaria, Stuttgart and the Black Forest, Frankfurt, Cologne, the Rhineland, Lower Saxony and Bremen, Hamburg and the North, Central Germany and more The Perfect Choice: Lonely Planet's Germany is our most comprehensive guide to Germany, and is perfect for discovering both popular and offbeat experiences. Looking for more extensive coverage? Check out Lonely Planet's Berlin for an in-depth look at all the capital has to offer, or our Munich, Bavaria & the Black Forest regional guide. About Lonely Planet: Lonely Planet is a leading travel media company and the world's number one travel guidebook brand, providing both inspiring and trustworthy information for every kind of traveller since 1973. Over the past four decades, we've printed over 145 million guidebooks and grown a dedicated, passionate global community of travellers. You'll also find our content online, and in mobile apps, video, 14 languages, nine international magazines, armchair and lifestyle books, ebooks, and more. 'Lonely Planet guides are, quite simply, like no other.' - New York Times 'Lonely Planet. It's on everyone's bookshelves, it's in every traveller's hands. It's on mobile phones. It's on the Internet. It's everywhere, and it's telling entire generations of people how to travel the world.' - Fairfax Media (Australia) *Source: Nielsen BookScan: Australia, UK, USA, 5/2016-4/2017 eBook Features: (Best viewed on tablet devices and smartphones) Downloadable PDF and offline maps prevent roaming and data charges Effortlessly navigate and jump between maps and reviews Add notes to personalise your guidebook experience Seamlessly flip between pages Bookmarks and speedy search capabilities get you to key pages in a flash Embedded links to recommendations' websites Zoom-in maps and images Inbuilt dictionary for quick referencing Important Notice: The digital edition of this book may not contain all of the images found in the physical edition.
On the centenary of the Russian Revolution, Jonathan Daly and Leonid Trofimov have reinvigorated the study of a turning point in world history. Instead of rehashing the internal dynamics of the Bolshevik takeover, the authors have carefully juxtaposed the international ambitions of the Bolsheviks with the Revolution’s reception around the world. Daly and Trofimov pair their lucid introductory essay with documents from Soviet officials, intellectuals in South America, W. E. B. Du Bois in the United States, and others, so readers will quickly realize how revolutionary ideas cross oceans and transcend geopolitical boundaries. This volume thus takes a topic once reserved for students of Russian history and places it in a world historical perspective; those interested in global history, European history, and, of course, those fascinated by events in Petrograd and Moscow will find ample sources of inspiration in this text. As the Russian Federation is now exerting its influence on a global scale, the time is ripe to consider the Russian Revolution in such broad terms." —Nigel Raab, Loyola Marymount University
This volume is the first of its kind to offer a detailed, monographic treatment of Semitic genealogical classification. The introduction describes the author's methodological framework and surveys the history of the subgrouping discussion in Semitic linguistics, and the first chapter provides a detailed description of the proto-Semitic basic vocabulary. Each of its seven main chapters deals with one of the key issues of the Semitic subgrouping debate: the East/West dichotomy, the Central Semitic hypothesis, the North West Semitic subgroup, the Canaanite affiliation of Ugaritic, the historical unity of Aramaic, and the diagnostic features of Ethiopian Semitic and of Modern South Arabian. The book aims at a balanced account of all evidence pertinent to the subgrouping discussion, but its main focus is on the diagnostic lexical features, heavily neglected in the majority of earlier studies dealing with this subject. The author tries to assess the subgrouping potential of the vocabulary using various methods of its diachronic stratification. The hundreds of etymological comparisons given throughout the book can be conveniently accessed through detailed lexical indices.
For the first time after D. H. Müller’s pioneering studies of the 1900s, a large body of folklore texts in Soqotri becomes available to the Semitological scholarship. The language is spoken by ca. 100.000 people inhabiting the island Soqotra (Gulf of Aden, Yemen). Soqotri is among the most archaic Semitic languages spoken today, whereas the oral literature of the islanders is a mine of deeply original motifs and plots. Texts appear in transcription, English and Arabic translations, and an Arabic-based native script. Philological annotations deal with grammatical, lexical and literary features, as well as realia. The Glossary accumulates all words attested in the volume. The Plates provide a glimpse into the fascinating landscapes of the island and the traditional lifestyle of its inhabitants.
One of the keys to successful business process engineering is tight alignment of processes with organisational goals and values. Historically, however, it has always been difficult to relate different levels of organizational processes to the strategic and operational objectives of a complex organization with many interrelated and interdependent processes and goals. This lack of integration is especially well recognized within the Human Resource Management (HRM) discipline, where there is a clearly defined need for greater alignment of HRM processes with the overall organizational objectives. Value-Focused Business Process Engineering is a monograph that combines and extends the best on offer in Information Systems and Operations Research/Decision Sciences modelling paradigms to facilitate gains in both business efficiency and business effectiveness.
Asymptotic methods belong to the, perhaps, most romantic area of modern mathematics. They are widely known and have been used in me chanics, physics and other exact sciences for many, many decades. But more than this, asymptotic ideas are found in all branches of human knowledge, indeed in all areas of life. In this broader context they have not and perhaps cannot be fully formalized. However, they are mar velous, they leave room for fantasy, guesses and intuition; they bring us very near to the border of the realm of art. Many books have been written and published about asymptotic meth ods. Most of them presume a mathematically sophisticated reader. The authors here attempt to describe asymptotic methods on a more accessi ble level, hoping to address a wider range of readers. They have avoided the extreme of banishing formulae entirely, as done in some popular science books that attempt to describe mathematical methods with no mathematics. This is impossible (and not wise). Rather, the authors have tried to keep the mathematics at a moderate level. At the same time, using simple examples, they think they have been able to illustrate all the key ideas of asymptotic methods and approaches, to depict in de tail the results of their application to various branches of knowledg- from astronomy, mechanics, and physics to biology, psychology and art. The book is supplemented by several appendices, one of which con tains the profound ideas of R. G.
Deterministic and stochastic control systems with aftereffect are considered. Necessary and sufficient conditions for the optimality of such systems are obtained. Various methods for the construction of exact and approximate solutions of optimal control problems are suggested. Problems of adaptive control for systems with aftereffect are analyzed. Numerous applications are described. The book can be used by researchers, engineers, and graduate students working in optimal control theory and various applications.
The objective of our monograph is to cover the developments on the theoretical foundations of distributed symmetry breaking in the message-passing model. We hope that our monograph will stimulate further progress in this exciting area.
A young worldly Russian, a violinist, Vladimir Volkonsky, unexpectedly falls in love with an innocent voice student. Her name is Lara. He first sees her on stage from the orchestra where he is rehearsing for a concert. During the months leading into winter, Lara and Vladimir are warmed against the chilly Moscow nights by each other. They are awakened to a passion that previously each had found only in music. While that passion tragically is lost when Vladimir fulfills his childhood dream to leave his homeland, the spirit of her love sustains him in his new life in the United States. Set is Moscow and Richmond, Virginia, the tragic romance of Lara and Vladimir is revealed with sensual and ethereal passages, touching both the heart and the spirit. Filled with historical references to the last days of the Czar, the lives of musicians and brushes with celebrities, Forbidden Dreams is filled with passion, music and paranormal experiences.
Written by three of the world's most renowned petroleum and environmental engineers, Probability in Petroleum and Environmental Engineering is the first book to offer the practicing engineer and engineering student new cutting-edge techniques for prediction and forecasting in petroleum engineering and environmental management. The authors combine a rigorous, yet easy-to-understand, approach to probability and how it is applied to petroleum and environmental engineering to solve multiple problems that engineers or geologists face every day.
This is the first comprehensive survey of the field of constraint databases, written by leading researchers. Constraint databases are a fairly new and active area of database research. Their ability to deal with infinite sets makes them particularly promising as a technology for integrating spatial and temporal data with standard relational databases. Constraint databases bring techniques from a variety of fields, such as logic and model theory, algebraic and computational geometry, as well as symbolic computation, to the design and analysis of data models and query languages.
Rigorous presentation of Mathematical Homogenization Theory is the subject of numerous publications. This book, however, is intended to fill the gap in the analytical and numerical performance of the corresponding asymptotic analysis of the static and dynamic behaviors of heterogenous systems. Numerous concrete applications to composite media, heterogeneous plates and shells are considered. A lot of details, numerical results for cell problem solutions, calculations of high-order terms of asymptotic expansions, boundary layer analysis etc., are included.
In ancient tradition, Pythagoras emerges as a wise teacher, an outstanding mathematician, an influential politician, and as a religious and ethical reformer. This volume offers a comprehensive study of Pythagoras, Pythagoreanism, and the early Pythagoreans through an analysis of the many representations of the individual and his followers.
For many years, the history of Byelorussia under Nazi occupation was written primarily from the perspective of the resistance movement. This movement, a reaction to the brutal occupation policies, was very strong indeed. Still, as the author shows, there existed in Byelorussia a whole web of local institutions and organizations which, some willingly, others with reservations, participated in the implementation of various aspects of occupation policies. The very sensitivity of the topic of collaboration has prevented researchers from approaching it for many years, not least because in the former Soviet territories ideological considerations have played an important role in preserving the topic’s “untouchable” status. Focusing on the attitude of German authorities toward the Byelorussians, marked by their anti-Slavic and particularly anti-Byelorussian prejudices on the one hand and the motives of Byelorussian collaborators on the other, the author clearly shows that notwithstanding the postwar trend to marginalize the phenomenon of collaboration or to silence it altogether, the local collaboration in Byelorussia was clearly visible and pervaded all spheres of life under the occupation.
Murder in the Lab by Leonid Heifets Murder in the Lab by Leonid Heifets is a tale of international mystery. Individuals of diverse personalities and backgrounds turn haggard and peeved, owing to the exhausting daily laboratory routine and intrigue. Jealousy, envy, and sexual hookups are not unusual occurrences in this setting. In the span of five months, there have been two deaths. To whom or to what can these deaths be attributed? Could they be the result of infighting among the employees? Are the deaths related to the development of new genetic methods that may transform medicine, with the potential for huge commercial success? The stakes are high-advanced diagnosis and prediction of illnesses before they occur, and above all, life-saving gene therapy. Investigators from the police and FBI must also be on guard for espionage, since the same genetics mastery can be used to develop biological weapons. Two deaths have forced those working in the lab to reexamine their relationships. About the Author Leonid Heifets, M.D., Ph.D., Sc.D., is Professor Emeritus, Department of Medicine, National Jewish Health, in Denver, Colorado. He is a nationally and internationally recognized expert in tuberculosis. After thirty-three years of service at National Jewish Health, in 2012 he retired from his position professor and director of one of the largest TB reference laboratories. Prior to employment at National Jewish, he worked as a physician, epidemiologist, and microbiologist in Russia. He is a recipient of two Lifetime Achievement Awards--one from National Jewish Health Faculty, and the other from the International Union Against Tuberculosis and Lung Diseases. Dr. Heifets has authored more than 200 scientific publications in the fields of epidemiology and microbiology of infectious diseases, and has recently written three books addressed to the general public.
This unique and comprehensive resource offers you a detailed treatment of the operations principles, key parameters, and specific characteristics of active and passive RF, microwave, and millimeter-wave components. The book covers both linear and nonlinear components that are used in a wide range of application areas, from communications and information sciences, to avionics, space, and military engineering. This practical book presents descriptions and clear examples and of the best materials and products used in the field, including laminates, prepregs, substrates; microstrip, coaxial and waveguide transmission lines; fixed and rotating connectors; matching and adjusting elements; frequency filters; phase shifters; and ferrite gates and circulators. Moreover, the book offers you in-depth discussions on microwave switches and matrices, including MEMS technology, solid state and vacuum amplifiers, mixers, modulators and demodulators, and oscillation sources. You also find coverage of the stable frequency synthesizer structure and sources of modulated or noisy signals. Greatly adding to the usefulness of this volume is the inclusion of more than 700 Internet addresses of manufacturers from across the globe.
This book provides an in-depth analysis of public opinion patterns among Muslims, particularly in the Arab world. On the basis of data from the World Values Survey, the Arab Barometer Project and the Arab Opinion Index, it compares the dynamics of Muslim opinion structures with global publics and arrives at social scientific predictions of value changes in the region. Using country factor scores from a variety of surveys, it also develops composite indices of support for democracy and a liberal society on a global level and in the Muslim world, and analyzes a multivariate model of opinion structures in the Arab world, based on over 40 variables from 12 countries in the Arab League and covering 67% of the total population of the Arab countries. While being optimistic about the general, long-term trend towards democracy and the resilience of Arab and Muslim civil society to Islamism, the book also highlights anti-Semitic trends in the region and discusses them in the larger context of xenophobia in traditional societies. In light of the current global confrontation with radical Islamism, this book provides vital material for policy planners, academics and think tanks alike.
Here is a fascinating text that integrates topics pertaining to all scales of the MHD-waves, emphasizing the linkages between the ULF-waves below the ionosphere on the ground and magnetospheric MHD-waves. It will be most helpful to graduate and post-graduate students, familiar with advanced calculus, who study the science of MHD-waves in the magnetosphere and ionosphere. The book deals with Ultra-Low-Frequency (ULF)-electromagnetic waves observed on the Earth and in Space.
Lakes Ladoga and Onego are the greatest lakes in Europe. With a surface area of 17891 km2 and a volume of 902 km3, the former is one of the top fifteen world’s freshwater lakes and is only slightly smaller than Lake Ontario. Lake Onego’s surface area is 9600 km2 and it has a volume of 292 km3. The watershed of Lake Ladoga (258000 km2) extends through Northwestern European Russia and the eastern part of Finland, including the large Lakes Ilmen and Saimaa, and together these Great European Lakes are an important link in the Caspian-Baltic-White Sea waterway system. Their ecological state affects the water quality of the Neva River, the Gulf of Finland and the Baltic Sea. Thus any changes affect the operational use, environmental protection and management of water resources of a wide area and concern such issues as drinking, recreation, transport and energy. The anthropogenic impact on the Lake Onego ecosystem is mostly determined by the sewage waters of the Petrozavodsk and Kondopoga industrial centres, while the river inflow makes the most impact on Lake Ladoga. Although the anthropogenic stress on the water ecosystems of the Great European Lakes has decreased over the last 15 years, there has been some simultaneous evidence of global warming. There is not enough current data to identify the climate-induced changes in lake ecosystems, but there is proof that the main cause of lacustrine ecosystem changes is determined by anthropogenic factors.
The theory of soliton equations and integrable systems has developed rapidly during the last 20 years with numerous applications in mechanics and physics. For a long time books in this field have not been written but the flood of papers was overwhelming: many hundreds, maybe thousands of them. All this followed one single work by Gardner, Greene, Kruskal, and Miura about the Korteweg-de Vries equation (KdV) which, had seemed to be merely an unassuming equation of mathematical physics describing waves in shallow water.This branch of science is attractive because it is one of those which revives the interest in the basic principles of mathematics, a beautiful formula.
Finite model theory,as understoodhere, is an areaof mathematicallogic that has developed in close connection with applications to computer science, in particular the theory of computational complexity and database theory. One of the fundamental insights of mathematical logic is that our understanding of mathematical phenomena is enriched by elevating the languages we use to describe mathematical structures to objects of explicit study. If mathematics is the science of patterns, then the media through which we discern patterns, as well as the structures in which we discern them, command our attention. It isthis aspect oflogicwhichis mostprominentin model theory,“thebranchof mathematical logic which deals with the relation between a formal language and its interpretations”. No wonder, then, that mathematical logic, and ?nite model theory in particular, should ?nd manifold applications in computer science: from specifying programs to querying databases, computer science is rife with phenomena whose understanding requires close attention to the interaction between language and structure. This volume gives a broadoverviewof some central themes of ?nite model theory: expressive power, descriptive complexity, and zero–one laws, together with selected applications to database theory and arti?cial intelligence, es- cially constraint databases and constraint satisfaction problems. The ?nal chapter provides a concise modern introduction to modal logic,which emp- sizes the continuity in spirit and technique with ?nite model theory.
The present monograph considers some macrohistorical trends along with the aspects of globalization. Macrohistory is history on the large scale that tells the story of the entire world or of some major dimensions of historical process. For the present study three aspects of macrohistory have been chosen. These are technological and political aspects, as well as the one of historical personality. Taken together they give a definite picture of unfolding historical process which is described from the beginning of human society formation to the present day and near future. The combination in the monograph title of the two terms – macrohistory and globalization – is in no way artificial. On the contrary, the connection of these terms is organic at least as the real goal of macrohistory is to find mean-ing in the past so as to create new possibilities of meaning for the future. The analysis of globalization also includes three aspects: political, economic and futurological as today the world may well be regarded as being at the start of a new global reconfiguration. The author presents his ideas of the world prospective political and in some respects social-economic development basing on the analysis of macrohistory and contemporary globalization processes. The monograph also considers some global scenarios of the World System's near future.
This is a book for those who want to understand the main ideas in the theory of optimal problems. It provides a good introduction to classical topics (under the heading of “the calculus of variations”) and more modern topics (under the heading of “optimal control”). It employs the language and terminology of functional analysis to discuss and justify the setup of problems that are of great importance in applications. The book is concise and self-contained, and should be suitable for readers with a standard undergraduate background in engineering mathematics.
A comprehensive guide to ranks and group theory Ranks of Groups features a logical, straightforward presentation, beginning with a succinct discussion of the standard ranks before moving on to specific aspects of ranks of groups. Topics covered include section ranks, groups of finite 0-rank, minimax rank, special rank, groups of finite section p-rank, groups having finite section p-rank for all primes p, groups of finite bounded section rank, groups whose abelian subgroups have finite rank, groups whose abelian subgroups have bounded finite rank, finitely generated groups having finite rank, residual properties of groups of finite rank, groups covered by normal subgroups of bounded finite rank, and theorems of Schur and Baer. This book presents fundamental concepts and notions related to the area of ranks in groups. Class-tested worldwide by highly qualified authors in the fields of abstract algebra and group theory, this book focuses on critical concepts with the most interesting, striking, and central results. In order to provide readers with the most useful techniques related to the various different ranks in a group, the authors have carefully examined hundreds of current research articles on group theory authored by researchers around the world, providing an up-to-date, comprehensive treatment of the subject. • All material has been thoroughly vetted and class-tested by well-known researchers who have worked in the area of rank conditions in groups • Topical coverage reflects the most modern, up-to-date research on ranks of groups • Features a unified point-of-view on the most important results in ranks obtained using various methods so as to illustrate the role those ranks play within group theory • Focuses on the tools and methods concerning ranks necessary to achieve significant progress in the study and clarification of the structure of groups Ranks of Groups: The Tools, Characteristics, and Restrictions is an excellent textbook for graduate courses in mathematics, featuring numerous exercises, whose solutions are provided. This book will be an indispensable resource for mathematicians and researchers specializing in group theory and abstract algebra. MARTYN R. DIXON, PhD, is Professor in the Department of Mathematics at the University of Alabama. LEONID A. KURDACHENKO, PhD, DrS, is Distinguished Professor and Chair of the Department of Algebra at the University of Dnepropetrovsk, Ukraine. IGOR YA SUBBOTIN, PhD, is Professor in the Department of Mathematics and Natural Sciences at National University in Los Angeles, California.
Written by some of the world's most renowned petroleum and environmental engineers, Fundamentals of the Petrophysics of Oil and Gas Reservoirs is the first book to offer the practicing engineer and engineering student these new cutting-edge techniques for prediction and forecasting in petroleum engineering and environmental management. In this book, the authors combine a rigorous, yet easy to understand, approach to petrophysics and how it is applied to petroleum and environmental engineering to solve multiple problems that the engineer or geologist faces every day. Useful in the prediction of everything from crude oil composition, pore size distribution in reservoir rocks, groundwater contamination, and other types of forecasting, this approach provides engineers and students alike with a convenient guide to many real-world applications. Petroleum geologists and engineers must have a working knowledge of petrophysics in order to find oil reservoirs and devise the best plan for getting it out of the ground, before drilling can begin. This book offers the engineer and geologist a fundamental guide for accomplishing these goals, providing much-needed calculations and formulas on fluid flow, rock properties, and many other topics that are encountered every day. The approach taken in Fundamentals of the Petrophysics of Oil and Gas Reservoirs is unique and has not been addressed until now in book format. Readers now have the ability to review the historic development of relationships and equations to define critical petrophysics attributes, many of which have either never been covered in the literature on petrophysics. Useful for the veteran engineer or scientist and the student alike, this book is a must-have for any geologist, engineer, or student working in the field of upstream petroleum engineering.
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