Discretization of Processes

In applications, and especially in mathematical finance, random time-dependent events are often modeled as stochastic processes. Assumptions are made about the structure of such processes, and serious

Presenting a global and interdisciplinary approach to plant ecology, this much-awaited new edition of the book Plants and Vegetation integrates classical themes with the latest ideas, models, and data. Keddy draws on extensive teaching experience to bring the field to life, guiding students through essential concepts with numerous real-world examples and full-colour illustrations throughout. The chapters begin by presenting the wider picture of the origin of plants and their impact on the Earth, before exploring the search for global patterns in plants and vegetation. Chapters on resources, stress, competition, herbivory, and mutualism explore causation, and a concluding chapter on conservation addresses the concern that one-third of all plant species are at risk of extinction. The scope of this edition is broadened further by a new chapter on population ecology, along with extensive examples including South African deserts, the Guyana Highlands of South America, Himalayan forests and

This unique book presents the discretization of continuous systems and implicit mapping dynamics of periodic motions to chaos in continuous nonlinear systems. The stability and bifurcation theory of f

Well-written and accessible, this classic introduction to stochastic processes and related mathematics is appropriate for advanced undergraduate students of mathematics with a knowledge of calculus an

" This clear presentation of the most fundamental models of random phenomena employs methods that recognize computer-related aspects of theory. Topics include probability spaces and random variables,

This book presents the recently introduced and already widely referred semi-discretization method for the stability analysis of delayed dynamical systems. Delay differential equations often come up in

Reviews the continuous, discrete, and semicontinuous Boltzmann equations for modeling the kinetic theory of gases, and reports new developments, mathematical problems, and applications in the field. T

Domain decomposition methods provide powerful and flexible tools for the numerical approximation of partial differential equations arising in the modeling of many interesting applications in science a

This work invites purposeful pathways for dance educators to explore, gather, and grow in their efforts of building and sustaining solidarity with diverse and marginalized dancers, learners, colleagues, and communities. With celebration, joy, un/learning, and critical rigor, it journeys through the work of movement organizers, abolitionist educators, and radical dance educators and their transformative ideas, stories, and practices. The book shares an analysis of how these multi-disciplinary arenas can interconnect in dance education curriculum design processes in ways that support the needs and interests of dance learners and the need to transform society away from violence and oppression. To encourage these aims, it theorizes dance education, educators, and curriculum in broad, inclusive ways.

How do unconscious motivational needs (i.e., implicit motives) influence physiology, cognition, emotion, and behavior? What are the fundamental motives and how do they operate and interact with incentives? How can motives be measured and when is a motive measure valid? How are motives shaped by biology and culture, how do they influence political and societal processes? How can we use knowledge about implicit motives in clinical, business, and sport contexts to help people achieve their goals? These are some of the topics this comprehensive book presents in 27 clearly written chapters, contributed by leading authorities in the field. It represents a state-of-the-art reference for all researchers and practitioners interested in human motivation. The first section addresses fundamental questions about the nature of motivational incentives, the role of learning in motivation, and paradigms for the experimental study of motivation. It also portrays how motives, power, affiliation, achievem