In 2000, the American Mathematical Society published a biography of Professor Stephen Smale, who had recently retired from a prestigious career at the University of California, Berkeley. But in retirement, Professor Smale has continued his academic pursuits through the present day, resulting in numerous additional publications and honors in the past 20+ years. As part of the CityU Legacy Series, this book documents Professor Smale's time at City University of Hong Kong, during his first appointment as a Distinguished University Professor in the Department of Mathematics from 1995-2001 as well as when he returned from 2009-2016. It also covers colorful and adventurous aspects of his life, including his impressive mineral collection and intrepid sailing and hiking trips to exotic locales. So that readers can experience the full extent of Professor Smale's notable life and work, the previous biography about him is included to provide a complete picture of this renowned scholar of international influence. "A fascinating and inspiring story of how Steve Smale, a bright yet seemingly unexceptional country boy ... became one of the most brilliant and in influential mathematicians on the planet." Lenore Blum Distinguished Career Professor of Computer Science, Emerita Carnegie Mellon University "I first met Steve during a visit to Berkeley … I did not foresee that the visit would mark the beginning of a long-lasting relationship including, but going well beyond, mathematical collaboration." Felipe Cucker Emeritus Professor, Department of Mathematics City University of Hong Kong
This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views.
This invaluable book contains the collected papers of Stephen Smale. These are divided into eight groups: topology; calculus of variations; dynamics; mechanics; economics; biology, electric circuits and mathematical programming; theory of computation; miscellaneous. In addition, each group contains one or two articles by world leaders on its subject which comment on the influence of Smale's work, and another article by Smale with his own retrospective views.
Mixing processes occur in many technological and natural applications, with length and time scales ranging from the very small to the very large. The diversity of problems can give rise to a diversity of approaches. Are there concepts that are central to all of them? Are there tools that allow for prediction and quantification? The authors show how a variety of flows in very different settings possess the characteristic of streamline crossing. This notion can be placed on firm mathematical footing via Linked Twist Maps (LTMs), which is the central organizing principle of this book. The authors discuss the definition and construction of LTMs, provide examples of specific mixers that can be analyzed in the LTM framework and introduce a number of mathematical techniques which are then brought to bear on the problem of fluid mixing. In a final chapter, they present a number of open problems and new directions.
The acclaimed photography of Jeff Scovil (70 plates) and Steve Smale (30 plates) capture the presence of masterpieces from one of the world's finest private collections---that of celebrated mathematician Steve Smale and his wife Clara. Captions and commentary by Smale himself provide context for these important pieces and insight into the mineral specimen trade.
Global Bifurcations and Chaos: Analytical Methods is unique in the literature of chaos in that it not only defines the concept of chaos in deterministic systems, but it describes the mechanisms which give rise to chaos (i.e., homoclinic and heteroclinic motions) and derives explicit techniques whereby these mechanisms can be detected in specific systems. These techniques can be viewed as generalizations of Melnikov's method to multi-degree of freedom systems subject to slowly varying parameters and quasiperiodic excitations. A unique feature of the book is that each theorem is illustrated with drawings that enable the reader to build visual pictures of global dynamcis of the systems being described. This approach leads to an enhanced intuitive understanding of the theory.
This introduction to applied nonlinear dynamics and chaos places emphasis on teaching the techniques and ideas that will enable students to take specific dynamical systems and obtain some quantitative information about their behavior. The new edition has been updated and extended throughout, and contains a detailed glossary of terms. From the reviews: "Will serve as one of the most eminent introductions to the geometric theory of dynamical systems." --Monatshefte für Mathematik
Linear, Time-varying Approximations to Nonlinear Dynamical Systems introduces a new technique for analysing and controlling nonlinear systems. This method is general and requires only very mild conditions on the system nonlinearities, setting it apart from other techniques such as those – well-known – based on differential geometry. The authors cover many aspects of nonlinear systems including stability theory, control design and extensions to distributed parameter systems. Many of the classical and modern control design methods which can be applied to linear, time-varying systems can be extended to nonlinear systems by this technique. The implementation of the control is therefore simple and can be done with well-established classical methods. Many aspects of nonlinear systems, such as spectral theory which is important for the generalisation of frequency domain methods, can be approached by this method.
div Biological diversity is as crucial in agriculture as it is in nature, and it is equally important to the economic health of both industrial and nonindustrial societies. This book offers a sweeping assessment of crop diversity and the potential for its preservation. Stephen B. Brush develops a framework for investigating biological diversity in agriculture that focuses on the knowledge and practice of farmers, and he shows how this human ecology perspective can be applied to three global issues that affect crop resources. Brush defines the dimensions of crop diversity and outlines the essential questions surrounding it. He describes the techniques used to maintain diversity in major crops of three cradles of agriculture in which he has worked: potatoes in the Peruvian Andes, maize in Mexico, and wheat in Turkey. Finally, he explores the policy issues surrounding genetic erosion of crop varieties, conservation of crop diversity, and ownership of genetic resources. /DIV
Provides a new and more realistic framework for describing the dynamics of non-linear systems. A number of issues arising in applied dynamical systems from the viewpoint of problems of phase space transport are raised in this monograph. Illustrating phase space transport problems arising in a variety of applications that can be modeled as time-periodic perturbations of planar Hamiltonian systems, the book begins with the study of transport in the associated two-dimensional Poincaré Map. This serves as a starting point for the further motivation of the transport issues through the development of ideas in a non-perturbative framework with generalizations to higher dimensions as well as more general time dependence. A timely and important contribution to those concerned with the applications of mathematics.
How does your mind work? How does your brain give rise to your mind? These are questions that all of us have wondered about at some point in our lives, if only because everything that we know is experienced in our minds. They are also very hard questions to answer. After all, how can a mind understand itself? How can you understand something as complex as the tool that is being used to understand it? This book provides an introductory and self-contained description of some of the exciting answers to these questions that modern theories of mind and brain have recently proposed. Stephen Grossberg is broadly acknowledged to be the most important pioneer and current research leader who has, for the past 50 years, modelled how brains give rise to minds, notably how neural circuits in multiple brain regions interact together to generate psychological functions. This research has led to a unified understanding of how, where, and why our brains can consciously see, hear, feel, and know about the world, and effectively plan and act within it. The work embodies revolutionary Principia of Mind that clarify how autonomous adaptive intelligence is achieved. It provides mechanistic explanations of multiple mental disorders, including symptoms of Alzheimer's disease, autism, amnesia, and sleep disorders; biological bases of morality and religion, including why our brains are biased towards the good so that values are not purely relative; perplexing aspects of the human condition, including why many decisions are irrational and self-defeating despite evolution's selection of adaptive behaviors; and solutions to large-scale problems in machine learning, technology, and Artificial Intelligence that provide a blueprint for autonomously intelligent algorithms and robots. Because brains embody a universal developmental code, unifying insights also emerge about shared laws that are found in all living cellular tissues, from the most primitive to the most advanced, notably how the laws governing networks of interacting cells support developmental and learning processes in all species. The fundamental brain design principles of complementarity, uncertainty, and resonance that Grossberg has discovered also reflect laws of the physical world with which our brains ceaselessly interact, and which enable our brains to incrementally learn to understand those laws, thereby enabling humans to understand the world scientifically. Accessibly written, and lavishly illustrated, Conscious Mind/Resonant Brain is the magnum opus of one of the most influential scientists of the past 50 years, and will appeal to a broad readership across the sciences and humanities.
This book provides an introduction to the theory of dynamical systems with the aid of the Mathematica® computer algebra package. The book has a very hands-on approach and takes the reader from basic theory to recently published research material. Emphasized throughout are numerous applications to biology, chemical kinetics, economics, electronics, epidemiology, nonlinear optics, mechanics, population dynamics, and neural networks. Theorems and proofs are kept to a minimum. The first section deals with continuous systems using ordinary differential equations, while the second part is devoted to the study of discrete dynamical systems.
Since the first edition of this book was published in 2001, MapleTM has evolved from Maple V into Maple 13. Accordingly, this new edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions; two new chapters on neural networks and simulation have also been added. The author has emphasized breadth of coverage rather than fine detail, and theorems with proof are kept to a minimum. This text is aimed at senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering.
Excellent reviews of the first edition (Mathematical Reviews, SIAM, Reviews, UK Nonlinear News, The Maple Reporter) New edition has been thoroughly updated and expanded to include more applications, examples, and exercises, all with solutions Two new chapters on neural networks and simulation have also been added Wide variety of topics covered with applications to many fields, including mechanical systems, chemical kinetics, economics, population dynamics, nonlinear optics, and materials science Accessible to a broad, interdisciplinary audience of readers with a general mathematical background, including senior undergraduates, graduate students, and working scientists in various branches of applied mathematics, the natural sciences, and engineering A hands-on approach is used with Maple as a pedagogical tool throughout; Maple worksheet files are listed at the end of each chapter, and along with commands, programs, and output may be viewed in color at the author’s website with additional applications and further links of interest at Maplesoft’s Application Center
Bringing together new accounts of the pulp horror writings of H.P. Lovecraft and the rise of the popular early 20th-century religious movements of American Pentecostalism and Social Gospel, Pentecostal Modernism challenges traditional histories of modernism as a secular avant-garde movement based in capital cities such as London or Paris. Disrupting accounts that separate religion from progressive social movements and mass culture, Stephen Shapiro and Philip Barnard construct a new Modernism belonging to a history of regional cities, new urban areas powered by the hopes and frustrations of recently urbanized populations seeking a better life. In this way, Pentecostal Modernism shows how this process of urbanization generates new cultural practices including the invention of religious traditions and mass-cultural forms.
What do you want to know about the work of the Holy Spirit in this century? In 1,001 Things You Always Wanted to Know About the Holy Spirit, J. Stephen Lang provides information on people such as Dennis Bennett, Aimee Semple McPherson, C. Peter Wagner, and John Wimber as well as insight into movements such as the Azusa Street Revival, the growth of the Assemblies of God, the Full Gospel Business Men's Fellowship, the Keswick Convention, and the 1973 Notre Dame Conference. From Scripture songs to glossolalia, Charismatics to Pentecostals, this browse book is filled with important-and sometimes offbeat-information about what the Holy Spirit has (and has not) been doing in the twentieth century.
This book traces the origins of the present information technology revolution, the technological features that underlie its impact, the organisations, the companies and technologies which are governing the current and future growth. It explains how the technology works, how it fits together, how the industry is structured and what the future might bring.
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.
In this groundbreaking work, Stephen M. Bainbridge and M. Todd Henderson change the conversation about corporate governance by examining the origins, roles, and performance of boards with a simple question in mind: why does the law require governance to be delivered through individual board members? While tracing the development of boards from quasi-political bodies through the current 'monitoring' role, the authors find the reasons for this requirement to be wanting. Instead, they propose that corporations be permitted to hire other business associations - known as 'Board Service Providers' or BSPs - to provide governance services. Just as corporations hire law firms, accounting firms, and consulting firms, so too should they be permitted to hire governance firms, a small change that will dramatically increase board accountability and enable governance to be delivered more efficiently. Outsourcing the Board should be read by academics, policymakers, and those within the corporations that will benefit from this change.
This textbook, now in its second edition, provides a broad introduction to both continuous and discrete dynamical systems, the theory of which is motivated by examples from a wide range of disciplines. It emphasizes applications and simulation utilizing MATLAB®, Simulink®, the Image Processing Toolbox® and the Symbolic Math toolbox®, including MuPAD. Features new to the second edition include · sections on series solutions of ordinary differential equations, perturbation methods, normal forms, Gröbner bases, and chaos synchronization; · chapters on image processing and binary oscillator computing; · hundreds of new illustrations, examples, and exercises with solutions; and · over eighty up-to-date MATLAB program files and Simulink model files available online. These files were voted MATLAB Central Pick of the Week in July 2013. The hands-on approach of Dynamical Systems with Applications using MATLAB, Second Edition, has minimal prerequisites, only requiring familiarity with ordinary differential equations. It will appeal to advanced undergraduate and graduate students, applied mathematicians, engineers, and researchers in a broad range of disciplines such as population dynamics, biology, chemistry, computing, economics, nonlinear optics, neural networks, and physics. Praise for the first edition Summing up, it can be said that this text allows the reader to have an easy and quick start to the huge field of dynamical systems theory. MATLAB/SIMULINK facilitate this approach under the aspect of learning by doing. —OR News/Operations Research Spectrum The MATLAB programs are kept as simple as possible and the author's experience has shown that this method of teaching using MATLAB works well with computer laboratory classes of small sizes.... I recommend ‘Dynamical Systems with Applications using MATLAB’ as a good handbook for a diverse readership: graduates and professionals in mathematics, physics, science and engineering. —Mathematica
This textbook provides a broad introduction to continuous and discrete dynamical systems. With its hands-on approach, the text leads the reader from basic theory to recently published research material in nonlinear ordinary differential equations, nonlinear optics, multifractals, neural networks, and binary oscillator computing. Dynamical Systems with Applications Using Python takes advantage of Python’s extensive visualization, simulation, and algorithmic tools to study those topics in nonlinear dynamical systems through numerical algorithms and generated diagrams. After a tutorial introduction to Python, the first part of the book deals with continuous systems using differential equations, including both ordinary and delay differential equations. The second part of the book deals with discrete dynamical systems and progresses to the study of both continuous and discrete systems in contexts like chaos control and synchronization, neural networks, and binary oscillator computing. These later sections are useful reference material for undergraduate student projects. The book is rounded off with example coursework to challenge students’ programming abilities and Python-based exam questions. This book will appeal to advanced undergraduate and graduate students, applied mathematicians, engineers, and researchers in a range of disciplines, such as biology, chemistry, computing, economics, and physics. Since it provides a survey of dynamical systems, a familiarity with linear algebra, real and complex analysis, calculus, and ordinary differential equations is necessary, and knowledge of a programming language like C or Java is beneficial but not essential.
This book which focusses on mechanics, waves and statistics, describes recent developments in the application of differential geometry, particularly symplectic geometry, to the foundations of broad areas of physics. Throughout the book, intuitive descriptions and diagrams are used to elucidate the mathematical theory. It develops a coordinate-free framework for perturbation theory and uses this to show how underlying symplectic structures arise from physical asymptotes. It describes a remarkable parity between classical mechanics which arises asymptotically from quantum mechanics and classical thermodynamics which arises asymptotically from statistical mechanics. Included here is a section with one hundred unanswered questions for further research.
Lewin's GENES X features informative new chapters, as well as a reorganization of material, provides a more logical flow of topics and many chapters have been renamed to better indicate their contents. Lewin's GENES X also contains new pedagogical features to help students learn as they read and an online student study guide allows students to test themselves on key material. Important Notice: The digital edition of this book is missing some of the images or content found in the physical edition.
Now in its twelfth edition, Lewin's GENES continues to lead with new information and cutting-edge developments, covering gene structure, sequencing, organization, and expression. Leading scientists provide revisions and updates in their individual field of study offering readers current data and information on the rapidly changing subjects in molecular biology.
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