This book offers a detailed presentation of results needed to prove the Morse Homology Theorem using classical techniques from algebraic topology and homotopy theory. The text presents results that were formerly scattered in the mathematical literature, in a single reference with complete and detailed proofs. The core material includes CW-complexes, Morse theory, hyperbolic dynamical systems (the Lamba-Lemma, the Stable/Unstable Manifold Theorem), transversality theory, the Morse-Smale-Witten boundary operator, and Conley index theory.
The Mathematician's Brain poses a provocative question about the world's most brilliant yet eccentric mathematical minds: were they brilliant because of their eccentricities or in spite of them? In this thought-provoking and entertaining book, David Ruelle, the well-known mathematical physicist who helped create chaos theory, gives us a rare insider's account of the celebrated mathematicians he has known-their quirks, oddities, personal tragedies, bad behavior, descents into madness, tragic ends, and the sublime, inexpressible beauty of their most breathtaking mathematical discoveries. Consider the case of British mathematician Alan Turing. Credited with cracking the German Enigma code during World War II and conceiving of the modern computer, he was convicted of "gross indecency" for a homosexual affair and died in 1954 after eating a cyanide-laced apple--his death was ruled a suicide, though rumors of assassination still linger. Ruelle holds nothing back in his revealing and deeply personal reflections on Turing and other fellow mathematicians, including Alexander Grothendieck, René Thom, Bernhard Riemann, and Felix Klein. But this book is more than a mathematical tell-all. Each chapter examines an important mathematical idea and the visionary minds behind it. Ruelle meaningfully explores the philosophical issues raised by each, offering insights into the truly unique and creative ways mathematicians think and showing how the mathematical setting is most favorable for asking philosophical questions about meaning, beauty, and the nature of reality. The Mathematician's Brain takes you inside the world--and heads--of mathematicians. It's a journey you won't soon forget.
This volume summarizes the current state of knowledge in the economic literature of management of agricultural biotechnology and biodiversity in agricultural and economic development. It identifies key issues confronting policy makers in managing biodiversity and biotechnology and provides a broad, multi-disciplinary analysis of the linkage between the two. It is especially innovative in its use of plant genetic resource management as the basis for is analysis.
Reissued in the Cambridge Mathematical Library this classic book outlines the theory of thermodynamic formalism which was developed to describe the properties of certain physical systems consisting of a large number of subunits. It is aimed at mathematicians interested in ergodic theory, topological dynamics, constructive quantum field theory, the study of certain differentiable dynamical systems, notably Anosov diffeomorphisms and flows. It is also of interest to theoretical physicists concerned with the conceptual basis of equilibrium statistical mechanics. The level of the presentation is generally advanced, the objective being to provide an efficient research tool and a text for use in graduate teaching. Background material on mathematics has been collected in appendices to help the reader. Extra material is given in the form of updates of problems that were open at the original time of writing and as a new preface specially written for this new edition by the author.
The new fifth edition of Ecotourism focuses on an array of economic, social and ecological inconsistencies that continue to plague ecotourism in theory and practice, and examines the sector in reference to other related forms of tourism, impacts, conservation, sustainability, education and interpretation, policy and governance, and the ethical imperative of ecotourism as these apply to the world’s greenest form of tourism. Building on the success of prior editions, the text has been revised throughout to incorporate recent research, including ecotourism taking place in under-represented world regions. It includes new case studies on important themes in research and practice as well as learning objectives in each chapter. David Fennell provides an authoritative and comprehensive review of the most important issues, including climate change and UN Sustainable Development Goals. Ecotourism continues to be embraced as the antithesis of mass tourism because of its promise of achieving sustainability through conservation mindedness, community development, education and learning, and the promotion of nature-based activities that are sensitive to both ecological and social systems. The book debates to what extent this promise has been realised. An essential reference for those interested in ecotourism, the book is accessible to students, but retains the depth required for use by researchers and practitioners in the field. This book will be of interest to students across a range of disciplines including geography, economics, business, ethics, biology, and environmental studies.
Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on the Legacy of Inverse Scattering Transform in Nonlinear Wave Propagation, June 17-21, 2001, Mount Holyoke College, South Hadley, MA
Proceedings of an AMS-IMS-SIAM Joint Summer Research Conference on the Legacy of Inverse Scattering Transform in Nonlinear Wave Propagation, June 17-21, 2001, Mount Holyoke College, South Hadley, MA
Swift progress and new applications characterize the area of solitons and the inverse scattering transform. There are rapid developments in current nonlinear optical technology: Larger intensities are more available; pulse widths are smaller; relaxation times and damping rates are less significant. In keeping with these advancements, exactly integrable soliton equations, such as $3$-wave resonant interactions and second harmonic generation, are becoming more and more relevant inexperimental applications. Techniques are now being developed for using these interactions to frequency convert high intensity sources into frequency regimes where there are no lasers. Other experiments involve using these interactions to develop intense variable frequency sources, opening up even morepossibilities. This volume contains new developments and state-of-the-art research arising from the conference on the ``Legacy of the Inverse Scattering Transform'' held at Mount Holyoke College (South Hadley, MA). Unique to this volume is the opening section, ``Reviews''. This part of the book provides reviews of major research results in the inverse scattering transform (IST), on the application of IST to classical problems in differential geometry, on algebraic and analytic aspects ofsoliton-type equations, on a new method for studying boundary value problems for integrable partial differential equations (PDEs) in two dimensions, on chaos in PDEs, on advances in multi-soliton complexes, and on a unified approach to integrable systems via Painleve analysis. This conference provided aforum for general exposition and discussion of recent developments in nonlinear waves and related areas with potential applications to other fields. The book will be of interest to graduate students and researchers interested in mathematics, physics, and engineering.
Intended for juniors and seniors majoring in mathematics, as well as anyone pursuing independent study, this book traces the historical development of four different mathematical concepts by presenting readers with the original sources. Each chapter showcases a masterpiece of mathematical achievement, anchored to a sequence of selected primary sources. The authors examine the interplay between the discrete and continuous, with a focus on sums of powers. They then delineate the development of algorithms by Newton, Simpson and Smale. Next they explore our modern understanding of curvature, and finally they look at the properties of prime numbers. The book includes exercises, numerous photographs, and an annotated bibliography.
The present collection of reprints covers the main contributions of David Ruelle, and coauthors, to the theory of chaos and its applications. Several of the papers reproduced here are classics in the field. Others (that were published in less accessible places) may still surprise the reader.The collection contains mathematical articles relevant to chaos, specific articles on the theory, and articles on applications to hydrodynamical turbulence, chemical oscillations, etc.A sound judgement of the value of techniques and applications is crucial in the interdisciplinary field of chaos. For a critical assessment of what has been achieved in this area, the present volume is an invaluable contribution.
How a simple equation reshaped mathematics Leonhard Euler’s polyhedron formula describes the structure of many objects—from soccer balls and gemstones to Buckminster Fuller’s buildings and giant all-carbon molecules. Yet Euler’s theorem is so simple it can be explained to a child. From ancient Greek geometry to today’s cutting-edge research, Euler’s Gem celebrates the discovery of Euler’s beloved polyhedron formula and its far-reaching impact on topology, the study of shapes. Using wonderful examples and numerous illustrations, David Richeson presents this mathematical idea’s many elegant and unexpected applications, such as showing why there is always some windless spot on earth, how to measure the acreage of a tree farm by counting trees, and how many crayons are needed to color any map. Filled with a who’s who of brilliant mathematicians who questioned, refined, and contributed to a remarkable theorem’s development, Euler’s Gem will fascinate every mathematics enthusiast. This paperback edition contains a new preface by the author.
This engaging and accessible introduction to social work encourages reflective learning in preparation for practice. Direct linking of key concepts to professional standards ensures that students are able to build up an understanding through context and reflective points, and with an emphasis on diversity, ideology, and preparing for practice, students will benefit from both practical and theoretical guidance. Sections are designed to work as both integrated and standalone resources and the flexible methodology will support a range of courses and learning techniques.
The most profound event in modern church history took place not in a cathedral but in a clapboard church in Los Angeles. A small congregation of mostly African American worshipers embraced the concept that New Testament signs and wonders were still available in the early twentieth century. Their dramatic spiritual revival, which became known as the Azusa Street Revival, attracted believers worldwide and launched the modern Pentecostal and Charismatic movements. This event forever changed Christian worship, music, and expression. In commemoration of Azusa Street's 100th anniversary, Jack Hayford tells the story, revealing how Christians are still experiencing its impact.
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 text provides students with an introduction to international human resource management. The authors assume no background knowledge of HRM and blend academic theories with numerous practical examples. Case studies from a wide range of geographical regions and cultures are employed, East as well as West.
The opening months of World War II saw Britain's Royal Navy facing a resurgent German navy, the Kriegsmarine. Following the German invasion of Denmark and Norway in early April 1940, British and German destroyers would clash in a series of battles for control of the Norwegian coast. The operational environment was especially challenging, with destroyer crews having to contend with variable weather, narrow coastal tracts and possibility of fog and ship breakdowns. In two engagements at Narvik, the Royal Navy entered the harbour and attacked the loitering German destroyers who had dropped off mountain troops to support the German invasion. The raids were devastating, halving at a stroke the number at Hitler's disposal. Employing specially commissioned artwork and drawing upon a range of sources, this absorbing study traces the evolving technology and tactics employed by the British and German destroyer forces, and assesses the impact of the Narvik clashes on both sides' subsequent development and deployment of destroyers in a range of roles across the world's oceans.
Systems of polynomial equations can be used to model an astonishing variety of phenomena. This book explores the geometry and algebra of such systems and includes numerous applications. The book begins with elimination theory from Newton to the twenty-first century and then discusses the interaction between algebraic geometry and numerical computations, a subject now called numerical algebraic geometry. The final three chapters discuss applications to geometric modeling, rigidity theory, and chemical reaction networks in detail. Each chapter ends with a section written by a leading expert. Examples in the book include oil wells, HIV infection, phylogenetic models, four-bar mechanisms, border rank, font design, Stewart-Gough platforms, rigidity of edge graphs, Gaussian graphical models, geometric constraint systems, and enzymatic cascades. The reader will encounter geometric objects such as Bézier patches, Cayley-Menger varieties, and toric varieties; and algebraic objects such as resultants, Rees algebras, approximation complexes, matroids, and toric ideals. Two important subthemes that appear in multiple chapters are toric varieties and algebraic statistics. The book also discusses the history of elimination theory, including its near elimination in the middle of the twentieth century. The main goal is to inspire the reader to learn about the topics covered in the book. With this in mind, the book has an extensive bibliography containing over 350 books and papers.
A discussion of developments in the field of bifurcation theory, with emphasis on symmetry breaking and its interrelationship with singularity theory. The notions of universal solutions, symmetry breaking, and unfolding of singularities are discussed in detail. The book not only reviews recent mathematical developments but also provides a stimulus for further research in the field.
Compiled by scholars with unrivalled knowledge of the sources, this dictionary provides biographies of all musicians and instrument makers employed by the English court from 1485-1714. A number of the musicians featured here have never previously received a dictionary entry. Coverage of these minor figures helps to flesh out the picture of musical life in the court in a way which individual studies of more major composers cannot. In addition to basic biographical details, entries feature information on: appointments; probate material; family background; heraldry; signatures and holograph documents; subscriptions to books; bibliographic references. A finding-list of variant names, details of the succession of court places assumed by musicians and an index of subjects and place names completes this comprehensive reference work.
The study of hyperbolic systems is one of the core themes of modern dynamical systems. This book plays an important role in filling a gap in the present literature on hyperbolic dynamics and is highly recommended for all PhD students interested in this field.
The J.B. Treatise is a collection of lore and information from the later fifteenth century on a range of topics considered essential learning for anyone aspiring to the English gentry. It has hitherto been known principally by way of an eclectic medley of filler material in the printed Boke of St Albans (1486), but survives in numerous variant forms in twenty-two, mostly unrelated, manuscripts. The treatise’s foremost concerns are hawking and hunting, but it differs from other contemporary treatises on these sports by concentrating on terminology rather than praxis. Much of its information is presented in the form of lists of terms, suggesting that it served mainly as a lexical primer rather than a manual of practical instruction. This study – which includes four major variant texts, explanatory notes, a glossary and complete collations of the ‘J.B.’ lists of collective nouns and carving terms – is the first comprehensive survey of all known versions of the J.B. Treatise, whose contents will be of interest to English medievalists in a range of disciplines, including history, literature and linguistics. This second edition of the J.B. Treatise includes comprehensive updates to the introduction, notes, and glossary to account for new scholarship, including numerous emendations to the OED prompted by lexical evidence presented in the first edition (2003). It also incorporates a revised bibliography and references to new editions of medieval texts.
This self-contained textbook provides the basic, abstract tools used in nonlinear analysis and their applications to semilinear elliptic boundary value problems and displays how various approaches can easily be applied to a range of model cases. Complete with a preliminary chapter, an appendix that includes further results on weak derivatives, and chapter-by-chapter exercises, this book is a practical text for an introductory course or seminar on nonlinear functional analysis.
There are few episodes in American history as interesting and controversial as the Salem Witch Trials. This work provides a revealing analysis of what it was like to live in Massachusetts during that time, creating a nuanced profile of New England Puritans and their culture. What was it like to live in the colony of Massachusetts during the last decade of the 17th century, the decade famed for the Salem Witch Trials? Daily Life during the Salem Witch Trials answers that question, offering a vivid portrait essential to anyone seeking to understand the traumatic events of the time in their proper historical context. The book begins with a historical overview tracing the development of the Puritan experiment in the Massachusetts colony from 1620 to 1692. It then explores the cultural values and day-to-day concerns of Puritan society in the late-17th century, including trends and patterns of behavior in family life, household activities, business and economics, political and military responsibilities, and religious belief. Each chapter interprets a different aspect of daily life as it was experienced by those who lived through the social crisis of the witch trials of 1692–93, helping readers better comprehend how the history-making events of those years could come to pass.
The third edition of this textbook has been thoroughly revised to meet the needs of today's social work students, professionals and service managers. It illustrates current legislation, policy, procedure and concerns, with additional material included to develop readers' confidence and skills in the context of learning organisations. This book is essential reading for students and practitioners alike, particularly those who need to understand organisation and management theory for study purposes and those who aspire to move into social work management or have been recent promoted. New to this Edition: - Fully revised and reorganised to reflect current legislation and policy - New material added to develop managers' confidence and skills in the context of learning organisations - Experienced new coauthors added to successful writing team
Focusing on an array of economic, social and ecological inconsistencies that continue to plague ecotourism in theory and practice, this book examines ecotourism in reference to other related forms of tourism, impacts, conservation, sustainability, education and interpretation, policy and governance, and the ethical imperative of ecotourism as these apply to the world’s greenest form of tourism. This revised edition includes: new information on the magnitude of the tourism industry, nature-based tourism and the pros and cons of mass ecotourism revised chapters on development, economics, marketing, policy, ecotourism in practice and biodiversity conservation a section on governance models, ecotourism programmes, operators and guides, interpretation, certification, and ecolodge design a discussion of ecotourism as an ethical or responsible form of tourism approximately 300 new references. It includes case studies and considers the perspectives of many adjacent fields, including geography, economics, business, philosophy, biology, and environmental studies.
This new textbook examines the knowledge, skills and values that underpin and inform current social work practice and processes. With a clear focus on skills, social work processes and the suitability of different methods, Watson offers students a toolkit for applying theoretical frameworks to actual practice situations.
Agrobiodiversity provides most of our food through our interaction with crops and domestic animals. Future global food security is firmly anchored in sound, science-based management of agrobiodiversity. This book presents key concepts of agrobiodiversity management, critically reviewing important current and emerging issues including agricultural development, crop introduction, practical diversity in farming systems, impact of modern crop varieties and GM crops, conservation, climate change, food sovereignty and policies. It also addresses claims and misinformation in the subject based on soun.
Mammals of Africa (MoA) is a series of six volumes which describes, in detail, every currently recognized species of African land mammal. This is the first time that such extensive coverage has ever been attempted, and the volumes incorporate the very latest information and detailed discussion of the morphology, distribution, biology and evolution (including reference to fossil and molecular data) of Africa's mammals. With 1,160 species and 16 orders, Africa has the greatest diversity and abundance of mammals in the world. The reasons for this and the mechanisms behind their evolution are given special attention in the series. Each volume follows the same format, with detailed profiles of every species and higher taxa. The series includes some 660 colour illustrations by Jonathan Kingdon and his many drawings highlight details of morphology and behaviour of the species concerned. Diagrams, schematic details and line drawings of skulls and jaws are by Jonathan Kingdon and Meredith Happold. Every species also includes a detailed distribution map. Extensive references alert readers to more detailed information. Volume I: Introductory Chapters and Afrotheria (352 pages) Volume II: Primates (560 pages) Volume III: Rodents, Hares and Rabbits (784 pages) Volume IV: Hedgehogs, Shrews and Bats (800 pages) Volume V: Carnivores, Pangolins, Equids and Rhinoceroses (560 pages) Volume VI: Pigs, Hippopotamuses, Chevrotain, Giraffes, Deer and Bovids (704 pages)
In the relatively few decades since the introduction of HIV into the human population, variants of the virus have diverged to such an extent that, were the discussion about something other than viruses, said variants could easily be classified as different species. This book will consider these evolutionary variations, as well as the different and, at times, opposing theories attempting to explain them. It will compare and contrast the ways in which the immune system and drugs affect the virus's evolution, and the implications of these for vaccine development. The issue will be explored and explained through "ecological genetics," which postulates that all living organisms have, besides rivals, enemies. This is divergent from the more traditional school of "population genetics," which emphasizes that evolution occurs among rival species (or variants thereof) that compete for niches or resources in a fixed, unreactive environment. Both models will be formulated using mathematical models, which will be included in the book. Finally, it will consider the possibilities for designing a vaccine that blocks HIV from escaping the immune system.
This book, based on lectures given at the Accademia dei Lincei, is an accessible and leisurely account of systems that display a chaotic time evolution. This behaviour, though deterministic, has features more characteristic of stochastic systems. The analysis here is based on a statistical technique known as time series analysis and so avoids complex mathematics, yet provides a good understanding of the fundamentals. Professor Ruelle is one of the world's authorities on chaos and dynamical systems and his account here will be welcomed by scientists in physics, engineering, biology, chemistry and economics who encounter nonlinear systems in their research.
How do scientists look at chance, or randomness, and chaos in physical systems? In answering this question for a general audience, Ruelle has produced an authoritative and elegant book--a model of clarity, succinctness, and with humor bordering on the sardonic. Ruelle is a professor of theoretical physics in France.
Elements of Differentiable Dynamics and Bifurcation Theory provides an introduction to differentiable dynamics, with emphasis on bifurcation theory and hyperbolicity that is essential for the understanding of complicated time evolutions occurring in nature. This book discusses the differentiable dynamics, vector fields, fixed points and periodic orbits, and stable and unstable manifolds. The bifurcations of fixed points of a map and periodic orbits, case of semiflows, and saddle-node and Hopf bifurcation are also elaborated. This text likewise covers the persistence of normally hyperbolic manifolds, hyperbolic sets, homoclinic and heteroclinic intersections, and global bifurcations. This publication is suitable for mathematicians and mathematically inclined students of the natural sciences.
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