The Developments Series

In 1922, Harald Bohr and Johannes Mollerup established a remarkable characterization of the Euler gamma function using its log-convexity property. A decade later, Emil Artin investigated this result and used it to derive the basic properties of the gamma function using elementary methods of the calculus. Bohr-Mollerup's theorem was then adopted by Nicolas Bourbaki as the starting point for his exposition of the gamma function. This open access book develops a far-reaching generalization of Bohr-Mollerup's theorem to higher order convex functions, along lines initiated by Wolfgang Krull, Roger Webster, and some others but going considerably further than past work. In particular, this generalization shows using elementary techniques that a very rich spectrum of functions satisfy analogues of several classical properties of the gamma function, including Bohr-Mollerup's theorem itself, Euler's reflection formula, Gauss' multiplication theorem, Stirling's formula, and Weierstrass' canonical factorization. The scope of the theory developed in this work is illustrated through various examples, ranging from the gamma function itself and its variants and generalizations (q-gamma, polygamma, multiple gamma functions) to important special functions such as the Hurwitz zeta function and the generalized Stieltjes constants. This volume is also an opportunity to honor the 100th anniversary of Bohr-Mollerup's theorem and to spark the interest of a large number of researchers in this beautiful theory.

Development is a large and central part of the American TV industry, and yet the details of how it works – who makes development decisions and why, where ideas for new shows come from, even basics like the differences between what TV studios and TV networks do – remain elusive to many. In this book, lecturer and acclaimed television producer Bob Levy offers a detailed introduction to television development, the process by which the Hollywood TV industry creates new scripted series. Written both for students and industry professionals, Television Development serves as a comprehensive introduction to all facets of the development process: the terminology, timelines, personnel and industrial processes that take a new TV project from idea to pitch to script to pilot to series. In addition to describing these processes, Levy also examines creative strategies for successful development, and teaches readers how to apply these strategies to their own careers and speak the language of development across all forms of visual storytelling. Written by the renowned producer responsible for developing and executive producing Gossip Girl and Pretty Little Liars, Television Development is an essential starting point for students, executives, agents, producers, directors and writers to learn how new series are created. Accompanying online material includes sample pitches, pilot scripts, and other development documents. A companion website for the book is available here: https://www.tvboblevy.com/

The book examines how hegemonic development ideas and practices emerged in the context of the changing world order post-1945 and how this transformation was characterized by neoliberalism and securitization of development and security. Sahle also explores the rise of China and the start of Obama's presidency.

Children's play is a universal human activity, and one that serves a significant purpose in personal development.Throughout this volume, which is an extension of the 33rd Annual Meeting of the Jean Piaget Society, the editors and contributors explore assumptions about play and its status as a unique and universal activity in humans.As a whole, Play

Gerard Roland's new text, Development Economics, is the first undergraduate text to recognize the role of institutions in understanding development and growth. Through a series of chapters devoted to specific sets of institutions, Roland examines the effects of institutions on growth, property rights, market development, and the delivery of public goods and services and focuses. With the most comprehensive and up to date treatment of institutions on development, Roland explores the important questions of why some countries develop faster than others and why some fail while others are successful.

The recent explosion of new research about infants, parental care, and infant-parent relationships has shown conclusively that human relationships are central motivators and organizers in development. Relationships in Development examines the practical implications for dynamic psychotherapy with both adults and children, especially following trauma. Stephen Seligman offers engaging examples of infant-parent interactions as well as of psychotherapeutic process. He traces the place of childhood and child development in psychoanalysis from Freud onward, showing how different images about babies evolved and influenced analytic theory and practice. Relationships in Development offers a new integration of ideas that updates established psychoanalytic models in a new context: "Relational-developmental psychoanalysis." Seligman integrates four crucial domains: Infancy Research, including attachment theory and research Developmental Psychoanalysis Relational/intersubjective Psychoanalysis Classical Freudian, Kleinian, and Object Relations theories (including Winnicott). An array of specific sources are included: developmental neuroscience, attachment theory and research, studies of emotion, trauma and infant-parent interaction, and nonlinear dynamic systems theories. Although new psychoanalytic approaches are featured, the classical theories are not neglected, including the Freudian, Kleinian, Winnicottian, and Ego Psychology orientations. Seligman links current knowledge about early experiences and how they shape later development with the traditional psychoanalytic attention to the irrational, unconscious, turbulent, and unknowable aspects of the mind and human interaction. These different fields are taken together to offer an open and flexible approach to psychodynamic therapy with a variety of patients in different socioeconomic and cultural situations. Relationships in Development will appeal to psychoanalysts, psychoanalytic psychotherapists, and graduate students in psychology, social work, and psychotherapy. The fundamental issues and implications presented will also be of great importance to the wider psychodynamic and psychotherapeutic communities.

Both economic research and the history of foreign aid suggest that the largest barriers to development arise from a society's institutions - its norms and rules. This book explains how institutions drive economic development. It provides numerous examples to illustrate the complex, interlocking, and persistent nature of real world rules and norms.

The discovery of infinite products by Wallis and infinite series by Newton marked the beginning of the modern mathematical era. It allowed Newton to solve the problem of finding areas under curves defined by algebraic equations, an achievement beyond the scope of the earlier methods of Torricelli, Fermat and Pascal. While Newton and his contemporaries, including Leibniz and the Bernoullis, concentrated on mathematical analysis and physics, Euler's prodigious accomplishments demonstrated that series and products could also address problems in algebra, combinatorics and number theory. In this book, Ranjan Roy describes many facets of the discovery and use of infinite series and products as worked out by their originators, including mathematicians from Asia, Europe and America. The text provides context and motivation for these discoveries, with many detailed proofs, offering a valuable perspective on modern mathematics. Mathematicians, mathematics students, physicists and engineers will all read this book with benefit and enjoyment.

The book presents a well edited review and integration of current research findings from both communication and psychological literature to provide a comprehensive view of current media use by children and adolescents, and its impact on their developing