People pursue their own interests, whatever those interests might be. Some people have interests that are narrow and selfish, while others have interests that are broad and altruistic. The idea that people are self-interested underpins all of economic analysis and raises two fundamental questions: 1. How do people choose the actions they think will further their own interests? 2. Can the potentially conflicting interests of different people be made to 'mesh' in some sort of socio-economic equilibrium? This book is devoted to a detailed study of the first question. Its Companion Volume (Economy-Wide Microeconomics: Equilibrium, Optimality, Applications and Tests) makes a detailed study of the second question.Following some foundational remarks, this book studies the Arrow-Debreu theory of consumer choice. That theory supposes people choose so as to maximize a complete, continuous, transitive, and reflexive binary preference relation over a non-empty and compact choice set. The book then studies numerous refinements, generalizations and extensions of each of these restrictions — up to and including recent work on Behavioral theories of choice and choice behaviour when preferences are intransitive/incomplete/discontinuous. Also considered is choice behaviour in environments that are not necessarily compact. A study is also made of intertemporal choice and choice under uncertainty. The study of Arrow-Debreu choice theory and its extensions are presented from the Primal, Dual, and Revealed Preference points of view.Consumers are not the only agents in the economy, as Producers are present as well. Beginning with a study of the Arrow-Debreu idea that producers choose from a convex production set so as to maximize profit, the book considers extensions and generalizations of this framework, particularly to non-convex environments. The study is presented from the Primal and Dual points of view.The final chapter in the book provides a link to its Companion Volume. The Chapter indicates how the theories of consumer and producer choice studied here help inform answers of the second question posed above.Resources are available to instructors who adopt this book. More details at www.worldscientific.com/worldscibooks/10.1142/12789-sm
First textbook-level account of basic examples and techniques in this area. Suitable for self-study by a reader who knows a little commutative algebra and algebraic geometry already. David Eisenbud is a well-known mathematician and current president of the American Mathematical Society, as well as a successful Springer author.
Cognitive Evolution provides an in-depth exploration of the natural history of cognition, from the beginning of life on Earth to present-day humans. Drawing together evolutionary, comparative, and neuroscience research, the book brings a unique cognitive perspective to evolutionary psychology. The second edition features the latest research and illustrations on emerging topics, making it a true update of the field. After introducing evolution, Boles adopts an information processing perspective – from inputs to outputs, with all the mental processes in between to provide a systematic overview of the evolution of cognition, including its sensory, motoric, perceptual, and cognitive components. The combination of evolutionary, comparative, and neuroscience perspectives provides an insight on topics like vision, handedness, tools and planning, spatial perception, pattern recognition, memory, language, and consciousness. Cognitive Evolution is a comprehensive, essential read for advanced undergraduate and postgraduate students of cognitive and evolutionary psychology. Researchers will find it a useful and insightful synthesis of the field, yet even the curious public will find in it much that is surprising and enlightening.
The ideal textbook for non-science majors, this lively and engaging introduction encourages students to ask questions, assess data critically and think like a scientist. Building on the success of the previous editions, Dinosaurs has been reorganised and extensively rewritten in response to instructor and student feedback. It continues to make science accessible and relevant through its clear explanations and extensive illustrations. Updated to reflect recent fossil discoveries and to include new taxa, the text guides students through the dinosaur groups, emphasising scientific concepts rather than presenting endless facts. It is grounded in the common language of modern evolutionary biology - phylogenetic systematics - so that students examine dinosaurs as professional paleontologists do. The key emerging theme of feathered dinosaurs, and the many implications of feathers, have been integrated throughout the book, highlighted by the inclusion of stunning new photographs in this beautifully illustrated text, now in full colour throughout.
In William Faulkner, William James, and the American Pragmatic Tradition, David H. Evans pairs the writings of America's most intellectually challenging modern novelist, William Faulkner, and the ideas of America's most revolutionary modern philosopher, William James. Though Faulkner was dubbed an idealist after World War II, Evans demonstrates that Faulkner's writing is deeply connected to the emergence of pragmatism as an intellectual doctrine and cultural force in the early twentieth century. Tracing pragmatism to its very roots, Evans examines the nineteenth-century confidence man of antebellum literature as the original practitioner of the pragmatic principle that a belief can give rise to its own objects. He casts this figure as the missing link between Faulkner and James, giving him new prominence in the prehistory of pragmatism. Moving on to Jamesian pragmatism, Evans contends that James's central innovation was his ability to define truth in narrative terms -- just as the confidence man did -- as something subjective and personal that continually shapes reality, rather than a set of static, unchanging facts. In subsequent chapters Evans offers detailed interpretations of three of Faulkner's most important novels, Absalom, Absalom!, Go Down, Moses, and The Hamlet, revealing that Faulkner, too, saw truth as fluid. By avoiding conclusion and finality, these three novels embody the pragmatic belief that life and the world are unstable and constantly evolving. Absalom, Absalom! stages a conflict of historical discourses that -- much like the pragmatic concept of truth -- can never be ultimately resolved. Evans shows us how Faulkner explores the conventional and arbitrary status of racial identity in Go Down, Moses, in a way that is strikingly similar to James's criticism of the concept of identity in general. Finally, Evans reads The Hamlet, a work that is often used to support the idea that Faulkner is opposed to modernity, as a depiction of a distinctly pragmatic and modern world. With its creative coupling of James's philosophy and Faulkner's art, Evans's lively, engaging book makes a bold contribution to Faulkner studies and studies of southern literature.
In The Mind within the Brain, David Redish brings together cutting edge research in psychology, robotics, economics, neuroscience, and the new fields of neuroeconomics and computational psychiatry, to offer a unified theory of human decision-making. Most importantly, Redish shows how vulnerabilities, or "failure-modes," in the decision-making system can lead to serious dysfunctions, such as irrational behavior, addictions, problem gambling, and PTSD. Told with verve and humor in an easily readable style, Redish makes these difficult concepts understandable. Ranging widely from the surprising roles of emotion, habit, and narrative in decision-making, to the larger philosophical questions of how mind and brain are related, what makes us human, the nature of morality, free will, and the conundrum of robotics and consciousness, The Mind within the Brain offers fresh insight into one of the most complex aspects of human behavior.
The book provides a detailed account of basic coalgebra and Hopf algebra theory with emphasis on Hopf algebras which are pointed, semisimple, quasitriangular, or are of certain other quantum groups. It is intended to be a graduate text as well as a research monograph.
This book is a collection of essays written by a distinguished mathematician with a very long and successful career as a researcher and educator working in many areas of pure and applied mathematics. The author writes about everything he found exciting about math, its history, and its connections with art, and about how to explain it when so many smart people (and children) are turned off by it. The three longest essays touch upon the foundations of mathematics, upon quantum mechanics and Schrödinger's cat phenomena, and upon whether robots will ever have consciousness. Each of these essays includes some unpublished material. The author also touches upon his involvement with and feelings about issues in the larger world. The author's main goal when preparing the book was to convey how much he loves math and its sister fields.
The Mumford-Shah functional was introduced in the 1980s as a tool for automatic image segmentation, but its study gave rise to many interesting questions of analysis and geometric measure theory. The main object under scrutiny is a free boundary K where the minimizer may have jumps. The book presents an extensive description of the known regularity properties of the singular sets K, and the techniques to get them. It is largely self-contained, and should be accessible to graduate students in analysis. The core of the book is composed of regularity results that were proved in the last ten years and which are presented in a more detailed and unified way.
The Sphinx and the Rainbow explores how the frontal brain may interact with the right and left brain in forecasting the future, how the new psychophysics may explain old questions about mind-brain relationships and the mystifying phenomena of precognitions. Loye’s book comprises a historic synthesis - of neuropsychology, psychology, parapsychology and physics. His book is a pioneering attempt to put together a coherent picture of the predicting mind.
Biology and Evolution of Crocodylians is a comprehensive review of current knowledge about the world's largest and most famous living reptiles. Gordon Grigg's authoritative and accessible text and David Kirshner's stunning interpretive artwork and colour photographs combine expertly in this contemporary celebration of crocodiles, alligators, caimans and gharials. This book showcases the skills and capabilities that allow crocodylians to live how and where they do. It covers the biology and ecology of the extant species, conservation issues, crocodylian–human interaction and the evolutionary history of the group, and includes a vast amount of new information; 25 per cent of 1100 cited publications have appeared since 2007. Richly illustrated with more than 500 colour photographs and black and white illustrations, this book will be a benchmark reference work for crocodylian biologists, herpetologists and vertebrate biologists for years to come.
This is the first truly comprehensive and thorough history of the development of a mathematical community in the United States and Canada. This second volume starts at the turn of the twentieth century with a mathematical community that is firmly established and traces its growth over the next forty years, at the end of which the American mathematical community is pre-eminent in the world. In the preface to the first volume of this work Zitarelli reveals his animating philosophy, I find that the human factor lends life and vitality to any subject. History of mathematics, in the Zitarelli conception, is not just a collection of abstract ideas and their development. It is a community of people and practices joining together to understand, perpetuate, and advance those ideas and each other. Telling the story of mathematics means telling the stories of these people: their accomplishments and triumphs; the institutions and structures they built; their interpersonal and scientific interactions; and their failures and shortcomings. One of the most hopeful developments of the period 19001941 in American mathematics was the opening of the community to previously excluded populations. Increasing numbers of women were welcomed into mathematics, many of whomincluding Anna Pell Wheeler, Olive Hazlett, and Mayme Logsdonare profiled in these pages. Black mathematicians were often systemically excluded during this period, but, in spite of the obstacles, Elbert Frank Cox, Dudley Woodard, David Blackwell, and others built careers of significant accomplishment that are described here. The effect on the substantial community of European immigrants is detailed through the stories of dozens of individuals. In clear and compelling prose Zitarelli, Dumbaugh, and Kennedy spin a tale accessible to experts, general readers, and anyone interested in the history of science in North America.
General Equilibrium Theory studies the properties and operation of free market economies. The field is a response to a series of questions originally outlined by Leon Walras about the operation of markets and posed by Frank Hahn in the following way: ‘Does the pursuit of private interest, through a system of interconnected deregulated markets, lead not to chaos but to coherence — and if so, how is that achieved?’ This is always an apt question, but particularly so given the ‘Global Financial Crisis’ that emerged from the operation of market economies in the Americas and Europe in mid to late 2008.The answer that General Equilibrium Theory provides to the Walras-Hahn question is that, under certain conditions coherence is possible, while under certain other conditions chaos, in various forms, is likely to prevail. The conditionality of either outcome is not always well understood — neither by proponents of, or antagonists to, the ‘free market position’. Consequently, this book attempts to show something of what General Equilibrium Theory has to say about the wisdom or otherwise of always relying on ‘market forces’ to manage complex socio-economic systems.
This book is an introduction to the modern theory of Markov chains, whose goal is to determine the rate of convergence to the stationary distribution, as a function of state space size and geometry. This topic has important connections to combinatorics, statistical physics, and theoretical computer science. Many of the techniques presented originate in these disciplines. The central tools for estimating convergence times, including coupling, strong stationary times, and spectral methods, are developed. The authors discuss many examples, including card shuffling and the Ising model, from statistical mechanics, and present the connection of random walks to electrical networks and apply it to estimate hitting and cover times. The first edition has been used in courses in mathematics and computer science departments of numerous universities. The second edition features three new chapters (on monotone chains, the exclusion process, and stationary times) and also includes smaller additions and corrections throughout. Updated notes at the end of each chapter inform the reader of recent research developments.
This textbook is for the standard, one-semester, junior-senior course that often goes by the title "Elementary Partial Differential Equations" or "Boundary Value Problems". The audience consists of students in mathematics, engineering, and the sciences. The topics include derivations of some of the standard models of mathematical physics and methods for solving those equations on unbounded and bounded domains, and applications of PDE's to biology. The text differs from other texts in its brevity; yet it provides coverage of the main topics usually studied in the standard course, as well as an introduction to using computer algebra packages to solve and understand partial differential equations. For the 3rd edition the section on numerical methods has been considerably expanded to reflect their central role in PDE's. A treatment of the finite element method has been included and the code for numerical calculations is now written for MATLAB. Nonetheless the brevity of the text has been maintained. To further aid the reader in mastering the material and using the book, the clarity of the exercises has been improved, more routine exercises have been included, and the entire text has been visually reformatted to improve readability.
..carefully and thoughtfully written and prepared with, in my opinion, just the right amount of detail included...will certainly be a primary source that I shall turn to." Proceedings of the Edinburgh Mathematical Society
What is animal intelligence? In what ways is it similar to human intelligence? Many behavioral scientists have realized that animals can be rational, can think in abstract symbols, can understand and react to human speech, and can learn through observation as well as conditioning many of the more complicated skills of life. Now Duane Rumbaugh and David Washburn probe the mysteries of the animal mind even further, identifying an advanced level of animal behavior—emergents—that reflects animals’ natural and active inclination to make sense of the world. Rumbaugh and Washburn unify all behavior into a framework they call Rational Behaviorism and present it as a new way to understand learning, intelligence, and rational behavior in both animals and humans. Drawing on years of research on issues of complex learning and intelligence in primates (notably rhesus monkeys, chimpanzees, and bonobos), Rumbaugh and Washburn provide delightful examples of animal ingenuity and persistence, showing that animals are capable of very creative solutions to novel challenges. The authors analyze learning processes and research methods, discuss the meaningful differences across the primate order, and point the way to further advances, enlivening theoretical material about primates with stories about their behavior and achievements.
Biography was Samuel Johnson's favorite among literary genres, and his Lives of the Poets is often regarded as the capstone of his career. The central place of biography in his oeuvre is explored in this collection of nine original essays by leading Johnson scholars. Varied in their focus and approach, the essays range from a philosophical overview of Johnson's notion of the relation between life and art, to a detailed reading of the Life of Milton, to a speculation on the value of the Lives in the classroom. Emerging clearly in the essays are the dual concerns -- artistic and intellectual.
The premise of this book is that the external world can be known only as an internally constructed model. Therefore, a careful analysis of how internal correlates are created can unify and explain disparate and fundamental scientific concerns. Among these are the nature of mathematics, the origin of time, and a predictive theory of mental evolution whose stages culminate in an unambiguous and rigorous definition of consciousness. Validation of this theory’s predictions explains the sequence and meaning of Paleolithic Age artifacts and identifies a temporal origin of language. Additional consequences of the theory identify strict limits of scientific knowledge and an essential commonality of mathematical logic shared by all sentient species. The book will appeal to anyone interested in the origin of the human mind and a rigorous scientific explanation of the emergence of consciousness.
A long-awaited, updated introductory text by the world leaders in potential theory. This essential reference work covers all aspects of this major field of mathematical research, from basic theory and exercises to more advanced topological ideas. The largely self-contained presentation makes it basically accessible to graduate students.
This book results from a two-day symposium and three-day workshop held in Cambridge between March 22nd and March 26th 1982 and sponsored by the Primate Society of Great Britain and the Anatomical Society of Great Britain and Ireland. More than 100 primatologists attended the symposium and some 35 were invited to participate in the workshop. Speakers from Prance, Germany, the Netherlands, South Africa and the U. S. A. , as weIl as the U. K. , were invited to contribute. In recent years feeling had strengthened that primatologists in Europe did not gather together sufficiently often. Distinctive tradit ions in primatology have developed in Germany, France, the Netherlands, Italy and the U. K. in particular, and it was feIt that attempts to blend them could only benefit primatology. Furthermore, studies of primate ecology, behaviour, anatomy, physiology and evolution have reached the points where further advances depend on inter-disciplinary collaboration. It was resolved to arrange a regular series of round table discussions on primate biology in Europe at the biennial meeting of the German Society for Anthropology and Human Genetics in Heidel berg in September 1979, where Holger Preuschoft organised sessions on primate ecology and anatomy. In June 1980 Michel Sakka convened a most effective working group in Paris to discuss cranial morphology and evolution. In 1982 it was the turn of the U. K.
Emergent evolution combines three separate but related claims, whose background, origin, and development I trace in this work: firstly, that evolution is a universal process of change, one which is productive of qualitative novelties; secondly, that qualitative novelty is the emergence in a system of a property not possessed by any of its parts; and thirdly, that reality can be analyzed into levels, each consisting of systems characterized by significant emergent properties. In part one I consider the background to emergence in the 19th century discussion of the philosophy of evolution among its leading exponents in England - Charles Darwin, Herbert Spencer, T. H. Huxley, Alfred Russel Wallace, and G. J. Romanes. Unlike the scientific aspect of the debate which aimed to determine the factors and causal mechanism of biological evolution, this aspect of the debate centered on more general problems which form what I call the "philosophical framework for evolutionary theory." This considers the status of continuity and discontinuity in evolution, the role of qualitative and quantitative factors in change, the relation between the organic and the inorganic, the relation between the natural and the supernatural, the mind-body problem, and the scope of evolution, including its extension to ethics and morals.
This classic and highly influential text presents a uniquely comprehensive view of the field of biophysical ecology. In its analytical interpretation of the ecological responses of plants and animals to their environments, it draws upon studies of energy exchange, gas exchange, and chemical kinetics. The first four chapters offer a preliminary treatment of the applications of biophysical ecology, discussing energy and energy budgets and their applications to plants and animals, and defining radiation laws and units. Succeeding chapters concern the physical environment, covering the topics of radiation, convection, conduction, and evaporation. The spectral properties of radiation and matter are reviewed, along with the geometrical, instantaneous, daily, and annual amounts of both shortwave and longwave radiation. The book concludes with more elaborate analytical methods for the study of photosynthesis in plants and energy budgets in animals, in addition to animal and plant temperature responses. This text will prove of value to students and environmental researchers from a variety of fields, particularly ecology, agronomy, forestry, botany, and zoology.
Wavelets are a recently developed tool for the analysis and synthesis of functions; their simplicity, versatility and precision makes them valuable in many branches of applied mathematics. The book begins with an introduction to the theory of wavelets and limits itself to the detailed construction of various orthonormal bases of wavelets. A second part centers on a criterion for the L2-boundedness of singular integral operators: the T(b)-theorem. It contains a full proof of that theorem. It contains a full proof of that theorem, and a few of the most striking applications (mostly to the Cauchy integral). The third part is a survey of recent attempts to understand the geometry of subsets of Rn on which analogues of the Cauchy kernel define bounded operators. The book was conceived for a graduate student, or researcher, with a primary interest in analysis (and preferably some knowledge of harmonic analysis and seeking an understanding of some of the new "real-variable methods" used in harmonic analysis.
The astonishing new story of human origins Was Darwin wrong when he traced our origins to Africa? The Real Planet of the Apes makes the explosive claim that it was in Europe, not Africa, where apes evolved the most important hallmarks of our human lineage. In this compelling and accessible book, David Begun, one of the world’s leading paleoanthropologists, transports readers to an epoch in the remote past when the Earth was home to many migratory populations of ape species. Begun draws on the latest astonishing discoveries in the fossil record, as well as his own experiences conducting field expeditions, to offer a sweeping evolutionary history of great apes and humans. He tells the story of how one of the earliest members of our evolutionary group evolved from lemur-like monkeys in the primeval forests of Africa. Begun then vividly describes how, over the next ten million years, these hominoids expanded into Europe and Asia and evolved climbing and hanging adaptations, longer maturation times, and larger brains. As the climate deteriorated in Europe, these apes either died out or migrated south, reinvading the African continent and giving rise to the lineages of African great apes, and, ultimately, humans. Presenting startling new insights, The Real Planet of the Apes fundamentally alters our understanding of human origins.
Anyone interested in comparative biology or the history of science will find this myth-busting work genuinely fascinating. It draws attention to the seminal studies and important advances that have shaped systematic and biogeographic thinking. It traces concepts in homology and classification from the 19th century to the present through the provision of a unique anthology of scientific writings from Goethe, Agassiz, Owen, Naef, Zangerl and Nelson, among others.
Presents principles of paleontology at an undergraduate level Emphasizes theory and concepts over details of morphology and the fossil record Profusely illustrated with photographs, charts, graphs, and tables
The Emergence of Humans is an accessible, informative introduction to the scientific study of human evolution. It takes the reader through time following the emergence of the modern human species Homo sapiens from primate roots. Acknowledging the controversy surrounding the interpretation of the fossil record, the authors present a balanced approach in an effort to do justice to different views. Each chapter covers a significant time period of evolutionary history and includes relevant techniques from other disciplines that have applications to the field of human evolution. Self-assessment questions linked to learning outcomes are provided for each chapter, together with further reading and reference to key sources in the primary literature. The book will thus be effective both as a conventional textbook and for independent study. Written by two authors with a wealth of teaching experience The Emergence of Humans will prove invaluable to students in the biological and natural sciences needing a clear, balanced introduction to the study of human evolution.
Evolutionary biology has long sought to explain how new traits and new species arise. Darwin maintained that competition is key to understanding this biodiversity and held that selection acting to minimize competition causes competitors to become increasingly different, thereby promoting new traits and new species. Despite Darwin’s emphasis, competition’s role in diversification remains controversial and largely underappreciated. In their synthetic and provocative book, evolutionary ecologists David and Karin Pfennig explore competition's role in generating and maintaining biodiversity. The authors discuss how selection can lessen resource competition or costly reproductive interactions by promoting trait evolution through a process known as character displacement. They further describe character displacement’s underlying genetic and developmental mechanisms. The authors then consider character displacement’s myriad downstream effects, ranging from shaping ecological communities to promoting new traits and new species and even fueling large-scale evolutionary trends. Drawing on numerous studies from natural populations, and written for a broad audience, Evolution’s Wedge seeks to inspire future research into character displacement’s many implications for ecology and evolution.
This book describes about unlike usual differential dynamics common in mathematical physics, heterogenesis is based on the assemblage of differential constraints that are different from point to point. The construction of differential assemblages will be introduced in the present study from the mathematical point of view, outlining the heterogeneity of the differential constraints and of the associated phase spaces, that are continuously changing in space and time. If homogeneous constraints well describe a form of swarm intelligence or crowd behaviour, it reduces dynamics to automatisms, by excluding any form of imaginative and creative aspect. With this study we aim to problematize the procedure of homogeneization that is dominant in life and social science and to outline the dynamical heterogeneity of life and its affective, semiotic, social, historical aspects. Particularly, the use of sub-Riemannian geometry instead of Riemannian one allows to introduce disjointed and autonomous areas in the virtual plane. Our purpose is to free up the dynamic becoming from any form of unitary and totalizing symmetry and to develop forms, action, thought by means of proliferation, juxtaposition, and disjunction devices. After stating the concept of differential heterogenesis with the language of contemporary mathematics, we will face the problem of the emergence of the semiotic function, recalling the limitation of classical approaches (Hjelmslev, Saussure, Husserl) and proposing a possible genesis of it from the heterogenetic flow previously defined. We consider the conditions under which this process can be polarized to constitute different planes of Content (C) and Expression (E), each one equipped with its own formed substances. A possible (but not unique) process of polarization is constructed by means of spectral analysis, that is introduced to individuate E/C planes and their evolution. The heterogenetic flow, solution of differential assemblages, gives rise to forms that are projected onto the planes, offering a first referring system for the flow, that constitutes a first degree of semiosis.
Classical Sobolev spaces, based on Lebesgue spaces on an underlying domain with smooth boundary, are not only of considerable intrinsic interest but have for many years proved to be indispensible in the study of partial differential equations and variational problems. Many developments of the basic theory since its inception arise in response to concrete problems, for example, with the (ubiquitous) sets with fractal boundaries. The theory will probably enjoy substantial further growth, but even now a connected account of the mature parts of it makes a useful addition to the literature. Accordingly, the main themes of this book are Banach spaces and spaces of Sobolev type based on them; integral operators of Hardy type on intervals and on trees; and the distribution of the approximation numbers (singular numbers in the Hilbert space case) of embeddings of Sobolev spaces based on generalised ridged domains. This timely book will be of interest to all those concerned with the partial differential equations and their ramifications. A prerequisite for reading it is a good graduate course in real analysis.
Pyschological anthropology is a vital area of contemporary social science, and one of the field's most important and innovative thinkers is Melford E. Spiro. This volume brings together sixteen essays that review Spiro's theoretical insights and extend them into new areas. The essays center on several general problems: In what ways is it meaningful to speak of a social act as having "functions"? What elements and processes of human personality are universal, and why? What is the relationship between religion and personality? Why? What are the pyschological underpinnings of social manipulation?
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