Applied Complex Variables

Science faces major challenges in tackling the inter-linked problems of poverty and environmental sustainability. This book reviews how practical science can be applied to real-life conservation and development problems, and aims to demystify the sometimes obscure science of natural resources management, interpreting it for the benefit of those who need to deal with the day to day problems of managing complex natural resource systems. The authors give practical guidance to those who design and manage conservation programmes and demonstrate that technologies are available that enable integrated natural resource management to move from a theory to a reality. They argue that the threats to the natural environment posed by globalisation require an integrated response encompassing different scales, system components, disciplines and knowledge types, and that such a response can yield real benefits to those living in tropical developing countries, whilst also achieving global environment obj

Science faces major challenges in tackling the inter-linked problems of poverty and environmental sustainability. This book reviews how practical science can be applied to real-life conservation and development problems, and aims to demystify the sometimes obscure science of natural resources management, interpreting it for the benefit of those who need to deal with the day to day problems of managing complex natural resource systems. The authors give practical guidance to those who design and manage conservation programmes and demonstrate that technologies are available that enable integrated natural resource management to move from a theory to a reality. They argue that the threats to the natural environment posed by globalisation require an integrated response encompassing different scales, system components, disciplines and knowledge types, and that such a response can yield real benefits to those living in tropical developing countries, whilst also achieving global environment obj

Why do males of some species live with a single mate when they are capable of fertilizing more than one female's eggs? Why do some females pair only with one male, and not with several partners? Why do birds usually live in pairs and feed chicks together whilst mammals often live in larger groups with females rearing their young without male help? These questions form the central theme of this book. Social monogamy is a complex, multi-faceted phenomenon that does not always correspond with reproductive monogamy, so a paired male may not necessarily be raising his own offspring. Exploring the variables influencing and maintaining the fascinating diversity of social, sexual and reproductive monogamous partnerships in birds, mammals and humans, this book provides clues to the biological roots of monogamy for students and researchers in behavioural ecology, evolutionary anthropology, primatology, zoology and ornithology.

Why do males of some species live with a single mate when they are capable of fertilizing more than one female's eggs? Why do some females pair only with one male, and not with several partners? Why do birds usually live in pairs and feed chicks together whilst mammals often live in larger groups with females rearing their young without male help? These questions form the central theme of this book. Social monogamy is a complex, multi-faceted phenomenon that does not always correspond with reproductive monogamy, so a paired male may not necessarily be raising his own offspring. Exploring the variables influencing and maintaining the fascinating diversity of social, sexual and reproductive monogamous partnerships in birds, mammals and humans, this book provides clues to the biological roots of monogamy for students and researchers in behavioural ecology, evolutionary anthropology, primatology, zoology and ornithology.

A textbook for a year-long graduate course for students at least somewhat familiar with mathematical methods, Fourier series and Fourier integrals, elementary complex variables, elementary ordinary an

As most econometricians will readily agree, the data used in applied econometrics seldom provide accurate measurements for the pertinent theory's variables. Here, Bernt Stigum offers the first systema

The science of complexity is concerned with the study of complex, adaptive systems. Its insights have in recent decades been applied with gusto by social scientists and other thinkers.As research in a

This systematic book covers in simple language the physical foundations of evolution equations, stochastic processes and generalized Master equations applied on complex economic systems, helping to un

Sri Lankan architect Geoffrey Bawa and the buildings he created have become legendary in the region and influential around the world. Few architects achieved his harmonious fusion of local building traditions with modern forms and sensibility Bawa's early works were houses that artfully married vernacular styles and responses to climate and site with a modern architectural vocabulary. Soon his talents were applied on a larger scale, to the Sri Lanka parliament, a number of carefully situated and designed hotels, schools, offices and other public buildings.The summation of his oeuvre is symbolized by his own two residences – a house in Colombo and a residential complex in Lunuganga – whose evolution eloquently reflect Bawa’s career and personality. This ambitious publication is a comprehensive documentation and appreciation of Geoffrey Bawa and his work and includes a rich portfolio of his most important works, including some rarely published projects. An exhaustive reference section in

This book explains the financial appraisal of capital budgeting projects. The coverage extends from the development of basic concepts, principles and techniques to the application of them in increasingly complex and real-world situations. Identification and estimation (including forecasting) of cash flows, project appraisal formulae, and the application of net present value (NPV), internal rate of return (IRR) and other project evaluation criteria are illustrated with a variety of calculation examples. Risk analysis is extensively covered by the use of risk adjusted discount rate, certainty equivalent, sensitivity, simulation and Monte Carlo analysis. The NPV and IRR models are further applied to forestry, property and international investments. Resource constraints are introduced to the capital budgeting decisions with a variety of worked examples using linear programming technique. All calculations are extensively supported by Excel workbooks on the Web, and each chapter is well revi

This book explains the financial appraisal of capital budgeting projects. The coverage extends from the development of basic concepts, principles and techniques to the application of them in increasingly complex and real-world situations. Identification and estimation (including forecasting) of cash flows, project appraisal formulae, and the application of net present value (NPV), internal rate of return (IRR) and other project evaluation criteria are illustrated with a variety of calculation examples. Risk analysis is extensively covered by the use of risk adjusted discount rate, certainty equivalent, sensitivity, simulation and Monte Carlo analysis. The NPV and IRR models are further applied to forestry, property and international investments. Resource constraints are introduced to the capital budgeting decisions with a variety of worked examples using linear programming technique. All calculations are extensively supported by Excel workbooks on the Web, and each chapter is well revi

Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course, by modelling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized, with many figures, and in references to more still and moving pictures. The relation of chaos to transition is discussed at length. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differential equations, complex variables and the elements of fluid mechanics. The book is aimed at graduate students but will also be very useful for specialists in other fields.

Instability of flows and their transition to turbulence are widespread phenomena in engineering and the natural environment, and are important in applied mathematics, astrophysics, biology, geophysics, meteorology, oceanography and physics as well as engineering. This is a textbook to introduce these phenomena at a level suitable for a graduate course, by modelling them mathematically, and describing numerical simulations and laboratory experiments. The visualization of instabilities is emphasized, with many figures, and in references to more still and moving pictures. The relation of chaos to transition is discussed at length. Many worked examples and exercises for students illustrate the ideas of the text. Readers are assumed to be fluent in linear algebra, advanced calculus, elementary theory of ordinary differential equations, complex variables and the elements of fluid mechanics. The book is aimed at graduate students but will also be very useful for specialists in other fields.

Today's evaluators are being challenged to help design and evaluate social programs intended to prevent and ameliorate complex social problems in a variety of settings, including schools, communities,

The right manufacturing strategy is vital to maintaining profitability and running an efficient business. Manufacturing, however, is a complex business, and it is often difficult to know where to start when reviewing and developing long term strategic plans. This industry guide explains in clear, simple stages how to review your current processes and procedures, and how to build on this information to develop, present and implement new manufacturing strategies. Based on a uniquely structured approach developed over many years with major industry clients, including Rolls-Royce and Federal Mogul, its holistic approach can be applied to every area of operations from the entire organisation down to individual business units or processes. Supporting material is available online at www.cambridge.org/9780521750295. Written for managers of small-medium sized businesses and industry consultants, this book also forms part of a three volume set covering business strategy, performance, and compete

This book offers an extended reinterpretation of English policy in Ireland over the sixteenth century. It seeks to show that the major conflicts between Tudor governors and native lords which characterised the period were not the result of a deliberate Tudor strategy of confrontation, but arose from a failed experiment in legal reform and cultural assimilation which had been applied with remarkable success elsewhere in the Tudor dominions. The book identifies a distinct administrative style which evolved in Irish government in the mid-sixteenth century under a complex set of pressures acting on the would-be reformers both in Ireland and at the Tudor court, and argues that it was this highly centralised and intensely activist mode of government that undermined the aims of reform policy and provoked alienation and hostility.

Governed by strict regulations and the intricate balance of complex interactions among variables, the application of mechanics to vehicle crashworthiness is not a simple task. It demands a solid under

Environmental Toxicology is a comprehensive introductory textbook dealing with most aspects of the subject, from the molecular to the ecosystem level. Early chapters deal with basic and advanced concepts, methods and approaches. The next tier discusses the environmental toxicology of individual or groups of substances. The third part addresses complex issues, in which many of the concepts, approaches and substances covered in earlier tiers are incorporated. The fourth part includes chapters on risk assessment, rehabilitation and regulatory toxicology. The book concludes with a summary of present and future areas of emphasis. Each chapter contains a comprehensive list of references and further reading, case studies from different jurisdictions, and student exercises. Environmental Toxicology is primarily a textbook for undergraduate and graduate students in environmental toxicology, environmental chemistry, ecotoxicology, applied ecology, environmental management, and risk assessment. I

Monitoring Ecological Impacts provides the tools needed by professional ecologists, scientists, engineers, planners and managers to design assessment programs that can reliably monitor, detect and allow management of human impacts on the natural environment. The procedures described are well grounded in inferential logic, and the statistical models needed to analyse complex data are given. Step-by-step guidelines and flow diagrams provide the reader with clear and useable protocols, which can be applied in any region of the world and to a wide range of human impacts. In addition, real examples are used to show how the theory can be put into practice. Although the context of this book is flowing water environments, especially rivers and streams, the advice for designing assessment programs can be applied to any ecosystem.

The processes of freezing and melting were present at the beginnings of the Earth and continue to dominate the natural and industrial worlds. The solidification of a liquid or the melting of a solid involves a complex interplay of many physical effects. This 2001 book presents in a systematic way the field of continuum solidification theory based on instability phenomena. An understanding of the physics is developed by using examples of increasing complexity with the object of creating a deep physical insight applicable to more complex problems. Applied mathematicians, engineers, physicists, and materials scientists will all find this volume of interest.

Wave propagation and scattering are among the most fundamental processes that we use to comprehend the world around us. While these processes are often very complex, one way to begin to understand them is to study wave propagation in the linear approximation. This is a book describing such propagation using, as a context, the equations of elasticity. Two unifying themes are used. The first is that an understanding of plane wave interactions is fundamental to understanding more complex wave interactions. The second is that waves are best understood in an asymptotic approximation where they are free of the complications of their excitation and are governed primarily by their propagation environments. The topics covered include reflection, refraction, the propagation of interfacial waves, integral representations, radiation and diffraction, and propagation in closed and open waveguides. Linear Elastic Waves is an advanced level textbook directed at applied mathematicians, seismologists, a

Comparative studies have become both more frequent and more important as a means for understanding the biology, behaviour and evolution of mammals. Primates have complex social relationships and diverse ecologies, and represent a large species radiation. This book draws together a wide range of experts from fields as diverse as reproductive biology and foraging energetics to place recent field research into a synthetic perspective. The chapters tackle controversial issues in primate biology and behaviour, including the role of brain expansion and infanticide in the evolution of primate behavioural strategies. The book also presents an overview of comparative methodologies as applied to recent primate research which will provide new approaches to comparative research. It will be of particular interest to primatologists, behavioural ecologists and those interested in the evolution of human social behaviour.

This work provides knowledge, understanding and guidance to the detailed and complex requirements of health and safety legislation as applied to the construction industry. It links with the CIOB Educa

Many problems in statistics and econometrics offer themselves naturally to the use of optimization heuristics. Standard methods applied to highly complex problems often produce approximate results, of

The Cambridge Handbook of Physics Formulas is a quick-reference aid for students and professionals in the physical sciences and engineering. It contains more than 2000 of the most useful formulas and equations found in undergraduate physics courses, covering mathematics, dynamics and mechanics, quantum physics, thermodynamics, solid state physics, electromagnetism, optics and astrophysics. An exhaustive index allows the required formulas to be located swiftly and simply, and the unique tabular format crisply identifies all the variables involved. The Cambridge Handbook of Physics Formulas comprehensively covers the major topics explored in undergraduate physics courses. It is designed to be a compact, portable, reference book suitable for everyday work, problem solving or exam revision. All students and professionals in physics, applied mathematics, engineering and other physical sciences will want to have this essential reference book within easy reach.

Mnller (applied microbiology, Justus-Liebig U., Giessen, Germany) shows how even complex problems in the many interactions between soil and the biosphere can be solved using computer modelling package

This book, first published in 2000, is a comprehensive introduction to holomorphic dynamics, that is the dynamics induced by the iteration of various analytic maps in complex number spaces. This has been the focus of much attention in recent years, with, for example, the discovery of the Mandelbrot set, and work on chaotic behaviour of quadratic maps. The treatment is mathematically unified, emphasizing the substantial role played by classical complex analysis in understanding holomorphic dynamics as well as giving an up-to-date coverage of the modern theory. The authors cover entire functions, Kleinian groups and polynomial automorphisms of several complex variables such as complex Henon maps, as well as the case of rational functions. The book will be welcomed by graduate students and professionals in pure mathematics and science who seek a reasonably self-contained introduction to this exciting area.

The task of management has become increasingly complex in recent years. Chief executives and senior managers are confronted with the daunting challenge of making sense of a myriad of variables that

This volume presents, in an integrated framework, the newest, most contemporary perspectives on the role of nonverbal behavior in social interaction. The book includes empirically-grounded work and theories that are central to our understanding of the reciprocal influences between nonverbal behavior and social variables. In doing so, it contributes to the on-going controversy now shaping the field regarding the degree to which nonverbal behavior represents social, as opposed to biological, forces. The volume also highlights a number of recent subareas in the domain of nonverbal behavior that hold much promise, including the role of nonverbal behavior in group membership and media influences on nonverbal behavior. The proposed volume also presents data and theories that have applied value, useful to people working in such fields as communication, psychotherapy, and counseling. Finally, the volume gathers contributors in different sub-fields that are rarely presented jointly, such famil

This volume presents, in an integrated framework, the newest, most contemporary perspectives on the role of nonverbal behavior in social interaction. The book includes empirically-grounded work and theories that are central to our understanding of the reciprocal influences between nonverbal behavior and social variables. In doing so, it contributes to the on-going controversy now shaping the field regarding the degree to which nonverbal behavior represents social, as opposed to biological, forces. The volume also highlights a number of recent subareas in the domain of nonverbal behavior that hold much promise, including the role of nonverbal behavior in group membership and media influences on nonverbal behavior. The proposed volume also presents data and theories that have applied value, useful to people working in such fields as communication, psychotherapy, and counseling. Finally, the volume gathers contributors in different sub-fields that are rarely presented jointly, such famil

This 1999 book is about the kind of mathematics usually encountered in first year university courses. A key feature of the book is that this mathematics is explored in depth using the popular and powerful package MATLAB. The emphasis is on understanding and investigating the mathematics, and putting it into practice in a wide variety of modelling situations. In the process, the reader will gain some fluency with MATLAB, no starting knowledge of the package being assumed. The range of material is wide: matrices, whole numbers, complex numbers, geometry of curves and families of lines, data analysis, random numbers and simulations, and differential equations form the basic mathematics. This is applied to a large number of investigations and modelling problems, from sequences of real numbers to cafeteria queues, from card shuffling to models of fish growth. All extras to the standard MATLAB package are supplied on the World Wide Web.

This 1999 book is about the kind of mathematics usually encountered in first year university courses. A key feature of the book is that this mathematics is explored in depth using the popular and powerful package MATLAB. The emphasis is on understanding and investigating the mathematics, and putting it into practice in a wide variety of modelling situations. In the process, the reader will gain some fluency with MATLAB, no starting knowledge of the package being assumed. The range of material is wide: matrices, whole numbers, complex numbers, geometry of curves and families of lines, data analysis, random numbers and simulations, and differential equations form the basic mathematics. This is applied to a large number of investigations and modelling problems, from sequences of real numbers to cafeteria queues, from card shuffling to models of fish growth. All extras to the standard MATLAB package are supplied on the World Wide Web.

This book is devoted to the study of classical combinatorial structures such as random graphs, permutations, and systems of random linear equations in finite fields. The author shows how the application of the generalized scheme of allocation in the study of random graphs and permutations reduces the combinatorial problems to classical problems of probability theory on the summation of independent random variables. He concentrates on research by Russian mathematicians, including a discussion of equations containing an unknown permutation and a presentation of techniques for solving systems of random linear equations in finite fields. These results will interest specialists in combinatorics and probability theory and will also be useful in applied areas of probabilistic combinatorics such as communication theory, cryptology, and mathematical genetics.

Originally published by Cambridge University Press in 1900, A Treatise on the Theory of Screws is the definitive reference on screw theory. It gives a very complete geometrical treatment of the problems of small movements in rigid dynamics. In recent years the theory of screws has emerged as a novel mathematical resource for addressing complex engineering problems, with important applications to robotics, multibody dynamics, mechanical design, computational kinematics, and hybrid automatic control. The author, Sir Robert Stawell Ball, was born in Dublin in 1840 and studied at Trinity College, Dublin. When the Royal College of Science was founded in Dublin in 1867, Ball became the first professor of applied mathematics and mechanism. In 1874 he was appointed Royal Astronomer of Ireland, and in 1892 he assumed the Lowndean Chair of Astronomy and Geometry and the Directorship of the University Observatory at Cambridge, where he remained until his death in 1913.

Flavors of Geometry is a volume of lectures on four geometrically-influenced fields of mathematics that have experienced great development in recent years. Growing out of a series of introductory lectures given at the Mathematical Sciences Research Institute in January 1995 and January 1996, the book presents chapters by masters in their respective fields on hyperbolic geometry, dynamics in several complex variables, convex geometry, and volume estimation. Each lecture begins with a discussion of elementary concepts, examines the highlights of the field, and concludes with a look at more advanced material. The style and presentation of the chapters are clear and accessible, and most of the lectures are richly illustrated. Bibiliographies and indexes are included to encourage further reading on the topics discussed.

Engineers and applied geophysicists routinely encounter interpolation and estimation problems when analysing data from field observations. Introduction to Geostatistics presents practical techniques for the estimation of spatial functions from sparse data. The author's unique approach is a synthesis of classic and geostatistical methods with a focus on the most practical linear minimum-variance estimation methods, and includes suggestions on how to test and extend the applicability of such methods. The author includes many useful methods (often not covered in other geostatistics books) such as estimating variogram parameters, evaluating the need for a variable mean, parameter estimation and model testing in complex cases (e.g. anisotropy, variable mean, and multiple variables), and using information from deterministic mathematical models. Well illustrated with exercises and worked examples taken from hydrogeology, Introduction to Geostatistics assumes no background in statistics and

This user-friendly 1995 text shows how to use mathematics to formulate, solve and analyse physical problems. Rather than follow the traditional approach of stating mathematical principles and then citing some physical examples for illustration, the book puts applications at centre stage; that is, it starts with the problem, finds the mathematics that suits it and ends with a mathematical analysis of the physics. Physical examples are selected primarily from applied mechanics. Among topics included are Fourier series, separation of variables, Bessel functions, Fourier and Laplace transforms, Green's functions and complex function theories. Also covered are advanced topics such as Riemann–Hilbert techniques, perturbation methods, and practical topics such as symbolic computation. Engineering students, who often feel more awe than confidence and enthusiasm toward applied mathematics, will find this approach to mathematics goes a long way toward a sharper understanding of the physical worl

Ecological theories and hypotheses are usually complex because of natural variability in space and time, which often makes the design of experiments difficult. The statistical tests we use require data to be collected carefully and with proper regard to the needs of these tests. This book, first published in 1996, describes how to design ecological experiments from a statistical basis using analysis of variance, so that we can draw reliable conclusions. The logical procedures that lead to a need for experiments are described, followed by an introduction to simple statistical tests. This leads to a detailed account of analysis of variance, looking at procedures, assumptions and problems. One-factor analysis is extended to nested (hierarchical) designs and factorial analysis. Finally, some regression methods for examining relationships between variables are covered. Examples of ecological experiments are used throughout to illustrate the procedures and examine problems. This book will be

Ecological theories and hypotheses are usually complex because of natural variability in space and time, which often makes the design of experiments difficult. The statistical tests we use require data to be collected carefully and with proper regard to the needs of these tests. This book, first published in 1996, describes how to design ecological experiments from a statistical basis using analysis of variance, so that we can draw reliable conclusions. The logical procedures that lead to a need for experiments are described, followed by an introduction to simple statistical tests. This leads to a detailed account of analysis of variance, looking at procedures, assumptions and problems. One-factor analysis is extended to nested (hierarchical) designs and factorial analysis. Finally, some regression methods for examining relationships between variables are covered. Examples of ecological experiments are used throughout to illustrate the procedures and examine problems. This book will be

The late Professor G. N. Watson wrote his monumental 1995 treatise on the theory of Bessel functions with two objects in view. The first was the development of applications of the fundamental processes of the theory of complex variables; and the second was the compilation of a collection of results of value to mathematicians and physicists, who encounter Bessel functions in the course of their researches. The completeness of his theoretical account, combined with the wide scope of the practical examples and the extensive numerical tables, have resulted in a book which is indispensable to pure and applied mathematicians, as well as to physicists.