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Showing 1 - 5 of 5 matches in All Departments
The subject of special functions is often presented as a collection of disparate results, rarely organized in a coherent way. This book emphasizes general principles that unify and demarcate the subjects of study. The authors' main goals are to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more. It shows how much of the subject can be traced back to two equations - the hypergeometric equation and confluent hypergeometric equation - and it details the ways in which these equations are canonical and special. There is extended coverage of orthogonal polynomials, including connections to approximation theory, continued fractions, and the moment problem, as well as an introduction to new asymptotic methods. There are also chapters on Meijer G-functions and elliptic functions. The final chapter introduces Painleve transcendents, which have been termed the 'special functions of the twenty-first century'.
The subject of special functions is often presented as a collection of disparate results, which are rarely organised in a coherent way. This book answers the need for a different approach to the subject. The authors' main goals are to emphasise general unifying principles coherently and to provide clear motivation, efficient proofs, and original references for all of the principal results. The book covers standard material, but also much more, including chapters on discrete orthogonal polynomials and elliptic functions. The authors show how a very large part of the subject traces back to two equations - the hypergeometric equation and the confluent hypergeometric equation - and describe the various ways in which these equations are canonical and special. Providing ready access to theory and formulas, this book serves as an ideal graduate-level textbook as well as a convenient reference.
Motivation: A Biobehavioural Approach provides the reader with an understanding of why individuals exhibit certain behaviors, and what causes these actions. Roderick Wong presents an analysis of motivated behavior such as sexual activity, parental behavior, food selection, and fear or aggression, from a biological perspective. Each chapter focuses on the individual systems underlying specific motivational states that result in motivated acts. The author discusses similarities, differences, and integration between these motivational systems throughout the volume. Using a framework derived from research and theory from animal behavior and comparative psychology, he analyzes relevant issues in human motivation such as mate choice, nepotism, attachment and independence, sensation-seeking, obesity, and parent-offspring conflict. This book will be particularly useful for undergraduate students in psychology or behavioral science taking courses in motivation and emotion, comparative psychology, animal behavior, or biological psychology.
Motivation: A Biobehavioural Approach provides the reader with an understanding of why individuals exhibit certain behaviors, and what causes these actions. Roderick Wong presents an analysis of motivated behavior such as sexual activity, parental behavior, food selection, and fear or aggression, from a biological perspective. Each chapter focuses on the individual systems underlying specific motivational states that result in motivated acts. The author discusses similarities, differences, and integration between these motivational systems throughout the volume. Using a framework derived from research and theory from animal behavior and comparative psychology, he analyzes relevant issues in human motivation such as mate choice, nepotism, attachment and independence, sensation-seeking, obesity, and parent-offspring conflict. This book will be particularly useful for undergraduate students in psychology or behavioral science taking courses in motivation and emotion, comparative psychology, animal behavior, or biological psychology.
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