From controlling disease outbreaks to predicting heart attacks, dynamic models are increasingly crucial for understanding biological processes. Many universities are starting undergraduate programs in computational biology to introduce students to this rapidly growing field. In Dynamic Models in Biology, the first text on dynamic models specifically written for undergraduate students in the biological sciences, ecologist Stephen Ellner and mathematician John Guckenheimer teach students how to understand, build, and use dynamic models in biology. Developed from a course taught by Ellner and Guckenheimer at Cornell University, the book is organized around biological applications, with mathematics and computing developed through case studies at the molecular, cellular, and population levels. The authors cover both simple analytic models--the sort usually found in mathematical biology texts--and the complex computational models now used by both biologists and mathematicians. Linked to a Web site with computer-lab materials and exercises, Dynamic Models in Biology is a major new introduction to dynamic models for students in the biological sciences, mathematics, and engineering.
This 1985 AMS Summer Research Conference brought together mathematicians interested in multiparameter bifurcation with scientists working on fluid instabilities and chemical reactor dynamics. This proceedings volume demonstrates the mutually beneficial interactions between the mathematical analysis, based on genericity, and experimental studies in these fields. Various papers study steady state bifurcation, Hopf bifurcation to periodic solutions, interactions between modes, dynamic bifurcations, and the role of symmetries in such systems. A section of abstracts at the end of the volume provides guides and pointers to the literature. The mathematical study of multiparameter bifurcation leads to a number of theoretical and practical difficulties, many of which are discussed in these papers. The articles also describe theoretical and experimental studies of chemical reactors, which provide many situations in which to test the mathematical ideas. Other test areas are found in fluid dynamics, particularly in studying the routes to chaos in two laboratory systems, Taylor-Couette flow between rotating cylinders and Rayleigh-Benard convection in a fluid layer.
Using case studies from universities throughout the nation, Doing Diversity in Higher Education examines the role faculty play in improving diversity on their campuses. The power of professors to enhance diversity has long been underestimated, their initiatives often hidden from view. Winnifred Brown-Glaude and her contributors uncover major themes and offer faculty and administrators a blueprint for conquering issues facing campuses across the country. Topics include how to dismantle hostile microclimates, sustain and enhance accomplishments, deal with incomplete institutionalization, and collaborate with administrators. The contributors' essays portray working on behalf of diversity as a genuine intellectual project rather than a faculty "service." The rich variety of colleges and universities included provides a wide array of models that faculty can draw upon to inspire institutional change.
Die beiden ursprünglich 1992 veröffentlichten Bände liegen nun in zusammengefaßter Paperback-Form vor. Reality Rules beleuchten die Syntax und die Semantik der Sprache, in der mathematische Modellierungsregeln niedergelegt werden. Eine Vielzahl von Beispielen zeigt praktische Anwendungen auf; auch ein Lösungsband zur Unterstützung des Selbststudiums ist erhältlich.
This book provides an introduction to those parts of analysis that are most useful in applications for graduate students. The material is selected for use in applied problems, and is presented clearly and simply but without sacrificing mathematical rigor.The text is accessible to students from a wide variety of backgrounds, including undergraduate students entering applied mathematics from non-mathematical fields and graduate students in the sciences and engineering who want to learn analysis. A basic background in calculus, linear algebra and ordinary differential equations, as well as some familiarity with functions and sets, should be sufficient.
Master Windows 8.1/Windows Runtime Programming Through 80 Expert Projects This is the most complete, hands-on, solutions-focused guide to programming modern Windows applications with the Windows Runtime. Leading Windows development consultants Jeremy Likness and John Garland present easy-to-adapt C# and XAML example code for more than 80 projects. Their real-world application examples help you apply Windows 8.1’s best improvements, including large tiles, the new search control, flyouts, command bars, native WinRT networking, and new deployment and sideloading options. Drawing on their pioneering experience, they illuminate key areas of the Windows Runtime API, offering uniquely detailed coverage of encryption, cloud connectivity, devices, printers, and media integration. You’ll find cutting-edge tips and tricks available in no other book. This is an indispensable resource for all intermediate-to-advanced Windows developers, and for any architect building desktop, tablet, or mobile solutions with Microsoft technologies. Its focus on both C# and XAML will make it valuable to millions of Windows developers already familiar with Silverlight, WPF, and/or .NET. Coverage includes • Creating robust app interfaces with the newest XAML controls, including flyouts and command bars • Saving data in a persistent “roaming zone” for syncing across Windows 8.1 devices • Using Visual State Manager (VSM) to build apps that adapt to various device resolutions and orientations • Integrating virtually any form of data into your apps • Connecting with web services, RSS, Atom feeds, and social networks • Securing apps via authentication, encrypting, signing, and single sign-on with Microsoft Account, Facebook, Google, and more • Leveraging Windows 8.1 media enhancements that improve battery life and app performance • Networking more effectively with Windows 8.1’s revamped HTTP implementation and new location APIs • Using Tiles and Toasts to keep apps alive and connected, even when they aren’t running • Enabling users to send content between devices via NFC tap and send • Ensuring accessibility and globalizing your apps • Efficiently debugging, optimizing, packaging, and deploying your apps • Building sideloadable apps that don’t have to be published in Windows Store “This book doesn’t just focus on singular concepts, it also provides end-to-end perspective on building an app in WinRT. It is one of those essential tools for Windows developers that will help you complete your software goals sooner than without it!” —Tim Heuer, Principal Program Manager Lead, XAML Platform, Microsoft Corporation
This second edition is brought about by two factors. First, the initial printing sold out much more rapidly than we expected. Second, several colleagues have been kind enough to suggest that this book not only has a contribution to make to ecological economics, but also has relevance to economics general. Thus our OUf distinction distinction between between genotypic genotypic and phenotypic evolution may be used to characterise not only economic sectors, but also whole economies, and in particular economic schools of thought. For instance, the Austrian subjectivist school deals explicitly with ignorance and the emergence of novelty, and may therefore be used to analyse genotypic development. In contrast, neoclassical economics deals principally with phenotypic development. When Dr. Müller Muller of Springer-Verlag suggested the production of a second edition, we were therefore pleased that this book might remain available. Several readers and in particular reviewers of the first edition remarked, in one way or the other, that they had questions concerning several of our OUf concepts, concepts, such as genotype, phenotype, ignorance, surprise, sUlprise, novelty, novelty, knowledge, knowledge, predictable predictable and unpredictable processes etc. Of course, all these concepts are of importance for evolution in general and for invention and innovation of new techniques in particular. We therefore considered some modifications and extensions of the original text, but on the advice of colleagues, have restricted oUfselves ourselves to correcting mistakes that crept into the first edition and to two extensions ofthe of the text, text, one major, one smaller.
This book is conceived as a comprehensive and detailed text-book on non-linear dynamical systems with particular emphasis on the exploration of chaotic phenomena. The self-contained introductory presentation is addressed both to those who wish to study the physics of chaotic systems and non-linear dynamics intensively as well as those who are curious to learn more about the fascinating world of chaotic phenomena. Basic concepts like Poincaré section, iterated mappings, Hamiltonian chaos and KAM theory, strange attractors, fractal dimensions, Lyapunov exponents, bifurcation theory, self-similarity and renormalisation and transitions to chaos are thoroughly explained. To facilitate comprehension, mathematical concepts and tools are introduced in short sub-sections. The text is supported by numerous computer experiments and a multitude of graphical illustrations and colour plates emphasising the geometrical and topological characteristics of the underlying dynamics. This volume is a completely revised and enlarged second edition which comprises recently obtained research results of topical interest, and has been extended to include a new section on the basic concepts of probability theory. A completely new chapter on fully developed turbulence presents the successes of chaos theory, its limitations as well as future trends in the development of complex spatio-temporal structures. "This book will be of valuable help for my lectures" Hermann Haken, Stuttgart "This text-book should not be missing in any introductory lecture on non-linear systems and deterministic chaos" Wolfgang Kinzel, Würzburg “This well written book represents a comprehensive treatise on dynamical systems. It may serve as reference book for the whole field of nonlinear and chaotic systems and reports in a unique way on scientific developments of recent decades as well as important applications.” Joachim Peinke, Institute of Physics, Carl-von-Ossietzky University Oldenburg, Germany
MATHEMATICAL ECOLOGY Population ecologists study how births and deaths affect the dynamics of populations and communities, while ecosystem ecologists study how species control the flux of energy and materials through food webs and ecosystems. Although all these processes occur simultaneously in nature, the mathematical frameworks bridging the two disciplines have developed independently. Consequently, this independent development of theory has impeded the cross-fertilization of population and ecosystem ecology. Using recent developments from dynamical systems theory, this advanced undergraduate/graduate level textbook shows how to bridge the two disciplines seamlessly. The book shows how bifurcations between the solutions of models can help understand regime shifts in natural populations and ecosystems once thresholds in rates of births, deaths, consumption, competition, nutrient inputs, and decay are crossed. Mathematical Ecology is essential reading for students of ecology who have had a first course in calculus and linear algebra or students in mathematics wishing to learn how dynamical systems theory can be applied to ecological problems.
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