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Introduction to Mathematics for Environmental Science evolved from the author's 30 years' experience teaching mathematics to graduate and advanced undergraduate students in the environmental sciences. Its basic purpose is to teach various types of mathematical structures and how they can be applied in a broad range of environmental science subfields. Derivatives and integrals, ordinary and partial differential equations, and linear and non-linear algebraic equations are the basic kinds of structures (types of mathematical models) discussed. For each mathematical topic, the book emphasizes derivation of mathematical models from "story problems" first, and solution of equations second. It suggests finding analytic solutions when possible, but discusses methods for finding numerical solutions to problems that can't be solved analytically. For most topics, examples of using Matlab software to solve and explore the structures are also included. This text assumes that its readers will already have been introduced to the basic ideas of differential and integral calculus, so it is not an introduction to calculus. It does, however, include three early chapters to review basic algebra, derivatives, and integrals. Professor Parkhurst earned his B.S. degree in applied mathematics from the College of Engineering, University of Colorado, Boulder, in 1965, and his Ph.D. in Botany (Plant Ecology) from the University of Wisconsin, Madison, in 1970. He then worked three years at the CSIRO Division of Atmospheric Science in Aspendale, Victoria, Australia, before joining the Environmental Science faculty of the School of Public and Environmental Affairs, Indiana University, Bloomington, in 1973. He held a joint appointment in the Biology Department there as well. He retired from that position in December, 2005, after 32 years. His research areas include mathematical modelling of adaptations of plant leaves to environment, environmental risk analysis, and applications of statistics in environmental and public health areas.

Algebra --- Partial differential equations --- Differential equations --- Mathematics --- Environmental protection. Environmental technology --- differentiaalvergelijkingen --- algebra --- toegepaste wiskunde --- milieukunde --- matrices --- wiskunde --- milieubeheer

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Numerical Methods for Ordinary Differential Equations is a self-contained introduction to a fundamental field of numerical analysis and scientific computation. Written for undergraduate students with a mathematical background, this book focuses on the analysis of numerical methods without losing sight of the practical nature of the subject. It covers the topics traditionally treated in a first course, but also highlights new and emerging themes. Chapters are broken down into `lecture' sized pieces, motivated and illustrated by numerous theoretical and computational examples. Over 200 exercises are provided and these are starred according to their degree of difficulty. Solutions to all exercises are available to authorized instructors. The book covers key foundation topics: o Taylor series methods o Runge-Kutta methods o Linear multistep methods o Convergence o Stability and a range of modern themes: o Adaptive stepsize selection o Long term dynamics o Modified equations o Geometric integration o Stochastic differential equations The prerequisite of a basic university-level calculus class is assumed, although appropriate background results are also summarized in appendices. A dedicated website for the book containing extra information can be found via www.springer.com

Numerical analysis --- Computer. Automation --- numerieke analyse

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Trichotillomania has been described in the literature for at least a hundred years, but has only in the past decade received serious clinical attention. Although now a "higher profile" disorder, there is still scant clinical information on trichotillomania. A full-length cognitive-behavioral treatment manual, Treating Trichotillomania (TTM) fills that need. Designing the book for maximum usefulness, authors Franklin and Tolin share their considerable expertise in treating body-focused repetitive behavior disorders (not only hair-pulling but skin-picking and nail-biting as well) in an accessible, clinically valid reference. Treating Trichotillomania carefully defines TTM, differentiating the disorder from other conditions such as OCD, reviewing the varied clinical forms it can take, and setting out its diagnostic criteria. Treatment chapters are not one-size-fits-all, but offer an evidence-based framework to help practitioners in designing the most appropriate course of treatment across the developmental spectrum, from toddlers to elders. The authors give the reader: Comprehensive discussion of assessment and treatment methods. Key elements of treatment, including awareness training, habit reversal, and maintenance techniques. Helpful ideas for treating clients with other disorders in addition to TTM. "What Do We Need to Know?" chapter, addressing clients' and families' frequently asked questions. Adjunctive cognitive-behavioral strategies, including family and group interventions. Resources for clinicians, clients, and families. With the increasing recognition of body-focused repetitive behavior disorders and their negative impact upon the lives of sufferers, the clinical psychologist, psychiatrist, social worker, counselor, or school practitioner needs the broadest understanding of the problem, which can be found in this reader-friendly volume.

Psychology --- Psychiatry --- stressmanagement --- stress --- coping --- klinische psychologie