David Aldous – författare

The ideas of Fourier have made their way into every branch of mathematics and mathematical physics, from the theory of numbers to quantum mechanics. Fourier Series and Integrals focuses on the extraordinary power and flexibility of Fourier's basic series and integrals and on the astonishing variety of applications in which it is the chief tool. It presents a mathematical account of Fourier ideas on the circle and the line, on finite commutative groups, and on a few important noncommutative groups. A wide variety of exercises are placed in nearly every section as an integral part of the text.

The Practice of Medicinal Chemistry, Fourth Edition provides a practical and comprehensive overview of the daily issues facing pharmaceutical researchers and chemists. In addition to its thorough treatment of basic medicinal chemistry principles, this updated edition has been revised to provide new and expanded coverage of the latest technologies and approaches in drug discovery.With topics like high content screening, scoring, docking, binding free energy calculations, polypharmacology, QSAR, chemical collections and databases, and much more, this book is the go-to reference for all academic and pharmaceutical researchers who need a complete understanding of medicinal chemistry and its application to drug discovery and development. Includes updated and expanded material on systems biology, chemogenomics, computer-aided drug design, and other important recent advances in the field Incorporates extensive color figures, case studies, and practical examples to help users gain a further understanding of key concepts Provides high-quality content in a comprehensive manner, including contributions from international chapter authors to illustrate the global nature of medicinal chemistry and drug development research An image bank is available for instructors at www.textbooks.elsevier.com

This innovative and user-friendly book uses a design thinking approach to examine transformative learning and liminality in physical education. Covering theory and practice, it introduces the important idea of ‘threshold concepts’ for physical education, helping physical educators to introduce those concepts into curriculum, pedagogy and assessment. The book invites us to reflect on what is learned in, through and about physical education - to identify its core threshold concepts. Once identified, the book explains how the learning of threshold concepts can be planned using principles of pedagogical translation for all four learning domains (cognitive, psychomotor, affective and social). The book is arranged into three key sections which walk the reader through the underpinning concepts, use movement case studies to explore and generate threshold concepts in physical education using design thinking approach and, finally, provide a guiding Praxis Matrix for PE Threshold Concepts that can be used for physical educators across a range of school and physical activity learning contexts.Outlining fundamental theory and useful, practical teaching and coaching advice, this book is invaluable reading for all PE teacher educators, coach educators, and any advanced student, coach or teacher looking to enrich their knowledge and professional practice.

This innovative and user-friendly book uses a design thinking approach to examine transformative learning and liminality in physical education. Covering theory and practice, it introduces the important idea of ‘threshold concepts’ for physical education, helping physical educators to introduce those concepts into curriculum, pedagogy and assessment. The book invites us to reflect on what is learned in, through and about physical education - to identify its core threshold concepts. Once identified, the book explains how the learning of threshold concepts can be planned using principles of pedagogical translation for all four learning domains (cognitive, psychomotor, affective and social). The book is arranged into three key sections which walk the reader through the underpinning concepts, use movement case studies to explore and generate threshold concepts in physical education using design thinking approach and, finally, provide a guiding Praxis Matrix for PE Threshold Concepts that can be used for physical educators across a range of school and physical activity learning contexts.Outlining fundamental theory and useful, practical teaching and coaching advice, this book is invaluable reading for all PE teacher educators, coach educators, and any advanced student, coach or teacher looking to enrich their knowledge and professional practice.

This book develops a clear and systematic treatment of time series of data, regular and chaotic, that one finds in observations of nonlinear systems. The reader is led from measurements of one or more variables through the steps of building models of the source as a dynamical system, classifying the source by its dynamical characteristics, and finally predicting and controlling the dynamical system. The text examines methods for separating the signal of physical interest from contamination by unwanted noise, and for investigating the phase space of the chaotic signal and its properties. The emphasis throughout is on the use of the modern mathematical tools for investigating chaotic behavior to uncover properties of physical systems. The methods require knowledge of dynamical systems at the advanced undergraduate level and some knowledge of Fourier transforms and other signal processing methods.The toolkit developed in the book will provide the reader with efficient and effective methods for analyzing signals from nonlinear sources; these methods are applicable to problems of control, communication, and prediction in a wide variety of systems encountered in physics, chemistry, biology, and geophysics.

The articles in this volume present the state of the art in a variety of areas of discrete probability, including random walks on finite and infinite graphs, random trees, renewal sequences, Stein's method for normal approximation and Kohonen-type self-organizing maps. This volume also focuses on discrete probability and its connections with the theory of algorithms. Classical topics in discrete mathematics are represented as are expositions that condense and make readable some recent work on Markov chains, potential theory and the second moment method. This volume is suitable for mathematicians and students.

If you place a large number of points randomly in the unit square, what is the distribution of the radius of the largest circle containing no points? Of the smallest circle containing 4 points? Why do Brownian sample paths have local maxima but not points of increase, and how nearly do they have points of increase? Given two long strings of letters drawn i. i. d. from a finite alphabet, how long is the longest consecutive (resp. non-consecutive) substring appearing in both strings? If an imaginary particle performs a simple random walk on the vertices of a high-dimensional cube, how long does it take to visit every vertex? If a particle moves under the influence of a potential field and random perturbations of velocity, how long does it take to escape from a deep potential well? If cars on a freeway move with constant speed (random from car to car), what is the longest stretch of empty road you will see during a long journey? If you take a large i. i. d. sample from a 2-dimensional rotationally-invariant distribution, what is the maximum over all half-spaces of the deviation between the empirical and true distributions? These questions cover a wide cross-section of theoretical and applied probability. The common theme is that they all deal with maxima or min­ ima, in some sense.

Many leisure activities involve the use of turf as a surface. Grass surfaces on golf courses, bowling clubs, cricket pitches, racetracks, and parks all require maintenance by trained personnel.International Turf Management Handbook is written by a team of international experts. It covers all aspects of turf management and in particular* the selection and establishment of grass varieties* soils, irrigation and drainage* performance testing and playing qualities* issues relating to specific playing surfacesIn its depth of coverage and detailed practical advice from around the world this comprehensive handbook is destined to become the standard reference work on the subject.

This book contains eleven articles surveying emerging topics in discrete probability. The papers are based on talks given by experts at the DIMACS 'Microsurveys in Discrete Probability' workshop held at the Institute for Advanced Study, Princeton, NJ. This compilation of current research in discrete probability provides a unique overview that is not available elsewhere in book or survey form. Topics covered in the volume include: Markov chains (perfect sampling, coupling from the past, mixing times), random trees (spanning trees on infinite graphs, enumeration of trees and forests, tree-valued Markov chains), distributional estimates (method of bounded differences, Stein-Chen method for normal approximation), dynamical percolation, and Poisson processes. It features surveys written and refereed by experts, and emerging areas of research in discrete probability theory not previously surveyed articles accessible to a broad readership.

Grasslands take up approximately one-quarter of the world's vegetative cover. Turfgrasses protect the land from erosion, stabilize the soil, moderate the temperature and provide low cost safe surfacing for many sporting and leisure activities. Amenity grasslands - and turf in particular - do more than form a significant part of the global landscape. They make up the basis of a multimillion dollar industry. International Turf Management Handbook covers the establishment, maintenance, and management of natural turfgrass surfaces.This handbook is arranged in four sections. The first section details the identification and selection of turfgrasses, how they grow, and their maintenance. The second section focuses on the management and administration of the turfgrass business. The third section addresses current standards and their use to effectively manage different surfaces such as bowling, croquet and golf greens, grass tennis courts, cricket tables, football and athletic fields, racetracks, and golf fairways. The final section discusses important environmental issues in turf management, including water resources, pesticides and fertilizers.Developed in association with more than 20 leading turf management authorities, the International Turf Management Handbook details the how the natural turfgrass surface functions. It explores strategies that blend biodiveristy and sustainability with the business of maintaining turf. It is essential reading for agriculture, horticulture, and natural resource professionals, and land managers.

If you place a large number of points randomly in the unit square, what is the distribution of the radius of the largest circle containing no points? Of the smallest circle containing 4 points? Why do Brownian sample paths have local maxima but not points of increase, and how nearly do they have points of increase? Given two long strings of letters drawn i. i. d. from a finite alphabet, how long is the longest consecutive (resp. non-consecutive) substring appearing in both strings? If an imaginary particle performs a simple random walk on the vertices of a high-dimensional cube, how long does it take to visit every vertex? If a particle moves under the influence of a potential field and random perturbations of velocity, how long does it take to escape from a deep potential well? If cars on a freeway move with constant speed (random from car to car), what is the longest stretch of empty road you will see during a long journey? If you take a large i. i. d. sample from a 2-dimensional rotationally-invariant distribution, what is the maximum over all half-spaces of the deviation between the empirical and true distributions? These questions cover a wide cross-section of theoretical and applied probability. The common theme is that they all deal with maxima or min­ ima, in some sense.

The articles in this volume present the state of the art in a variety of areas of discrete probability, including random walks on finite and infinite graphs, random trees, renewal sequences, Stein's method for normal approximation and Kohonen-type self-organizing maps. This volume also focuses on discrete probability and its connections with the theory of algorithms. Classical topics in discrete mathematics are represented as are expositions that condense and make readable some recent work on Markov chains, potential theory and the second moment method. This volume is suitable for mathematicians and students.