Search results for ""Author Ke Zhang""
Princeton University Press Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom: (AMS-208)
The first complete proof of Arnold diffusion—one of the most important problems in dynamical systems and mathematical physicsArnold diffusion, which concerns the appearance of chaos in classical mechanics, is one of the most important problems in the fields of dynamical systems and mathematical physics. Since it was discovered by Vladimir Arnold in 1963, it has attracted the efforts of some of the most prominent researchers in mathematics. The question is whether a typical perturbation of a particular system will result in chaotic or unstable dynamical phenomena. In this groundbreaking book, Vadim Kaloshin and Ke Zhang provide the first complete proof of Arnold diffusion, demonstrating that that there is topological instability for typical perturbations of five-dimensional integrable systems (two and a half degrees of freedom).This proof realizes a plan John Mather announced in 2003 but was unable to complete before his death. Kaloshin and Zhang follow Mather's strategy but emphasize a more Hamiltonian approach, tying together normal forms theory, hyperbolic theory, Mather theory, and weak KAM theory. Offering a complete, clean, and modern explanation of the steps involved in the proof, and a clear account of background material, this book is designed to be accessible to students as well as researchers. The result is a critical contribution to mathematical physics and dynamical systems, especially Hamiltonian systems.
£139.50
Princeton University Press Arnold Diffusion for Smooth Systems of Two and a Half Degrees of Freedom: (AMS-208)
The first complete proof of Arnold diffusion—one of the most important problems in dynamical systems and mathematical physicsArnold diffusion, which concerns the appearance of chaos in classical mechanics, is one of the most important problems in the fields of dynamical systems and mathematical physics. Since it was discovered by Vladimir Arnold in 1963, it has attracted the efforts of some of the most prominent researchers in mathematics. The question is whether a typical perturbation of a particular system will result in chaotic or unstable dynamical phenomena. In this groundbreaking book, Vadim Kaloshin and Ke Zhang provide the first complete proof of Arnold diffusion, demonstrating that that there is topological instability for typical perturbations of five-dimensional integrable systems (two and a half degrees of freedom).This proof realizes a plan John Mather announced in 2003 but was unable to complete before his death. Kaloshin and Zhang follow Mather's strategy but emphasize a more Hamiltonian approach, tying together normal forms theory, hyperbolic theory, Mather theory, and weak KAM theory. Offering a complete, clean, and modern explanation of the steps involved in the proof, and a clear account of background material, this book is designed to be accessible to students as well as researchers. The result is a critical contribution to mathematical physics and dynamical systems, especially Hamiltonian systems.
£63.00
John Wiley & Sons Inc Empowering Online Learning: 100+ Activities for Reading, Reflecting, Displaying, and Doing
This is an essential resource for anyone designing or facilitating online learning. It introduces an easy, practical model (R2D2: read, reflect, display, and do) that will show online educators how to deliver content in ways that benefit all types of learners (visual, auditory, observational, and kinesthetic) from a wide variety of backgrounds and skill levels. With a solid theoretical foundation and concrete guidance and examples, this book can be used as a handy reference, a professional guidebook, or a course text. The authors intend for it to help online instructors and instructional designers as well as those contemplating such positions design, develop, and deliver learner-centered online instruction. Empowering Online Learning has 25 unique activities for each phase of the R2D2 model as well as summary tables helping you pick and choose what to use whenever you need it. Each activity lists a description, skills addressed, advice, variations, cost, risk, and time index, and much more. This title is loaded with current information about emerging technologies (e.g., simulations, podcasts, wikis, blogs) and the Web 2.0. With a useful model, more than 100 online activities, the latest information on emerging technologies, hundreds of quickly accessible Web resources, and relevance to all types and ages of learners--Empowering Online Learning is a book whose time has come.
£33.99
John Wiley & Sons Inc Remote Sensing of Water-Related Hazards
Applications of remote sensing technology for monitoring and predicting water-related hazards Water-related hazards such as floods and droughts have serious impacts on society. Their incidence has increased in recent decades, a trend set to continue with ongoing climate change. Adaptation and mitigation measures require accurate detection, monitoring, and forecasting, much of which comes from remote sensing technologies. Remote Sensing of Water-Related Hazards takes an interdisciplinary approach, presenting recent advances in the available data, sensors, models, and indicators developed for monitoring and prediction. Volume highlights include: Progress in remote sensing of precipitation, storms, and tornados Different techniques for flood mapping, forecasting, and early warning Integrated approach for predicting flood and landslide cascading hazards Satellite monitoring of water cycle variation, water scarcity, and drought conditions Multi-indicator and multi-sensor approaches for quantifying drought impacts The American Geophysical Union promotes discovery in Earth and space science for the benefit of humanity. Its publications disseminate scientific knowledge and provide resources for researchers, students, and professionals.
£157.95
