This book contains a multitude of challenging problems and solutions that are not commonly found in classical textbooks. One goal of the book is to present these fascinating mathematical problems in a new and engaging way and illustrate the connections between integrals, sums, and series, many of which involve zeta functions, harmonic series, polylogarithms, and various other special functions and constants. Throughout the book, the reader will find both classical and new problems, with numerous original problems and solutions coming from the personal research of the author. Where classical problems are concerned, such as those given in Olympiads or proposed by famous mathematicians like Ramanujan, the author has come up with new, surprising or unconventional ways of obtaining the desired results. The book begins with a lively foreword by renowned author Paul Nahin and is accessible to those with a good knowledge of calculus from undergraduate students to researchers, and will appeal to all mathematical puzzlers who love a good integral or series.

Contemporary debate over the legacy of racial integration in the United States rests between two positions that are typically seen as irreconcilable. On one side are those who argue that we must pursue racial integration because it is an essential component of racial justice. On the other are those who question the ideal of integration and suggest that its pursuit may damage the very population it was originally intended to liberate. In An Impossible Dream? Sharon A. Stanley shows that much of this apparent disagreement stems from different understandings of the very meaning of integration. In response, she offers a new model of racial integration in the United States that takes seriously the concerns of longstanding skeptics, including black power activists and black nationalists. Stanley reformulates integration to de-emphasize spatial mixing for its own sake and calls instead for an internal, psychic transformation on the part of white Americans and a radical redistribution of power. The goal of her vision is not simply to mix black and white bodies in the same spaces and institutions, but to dismantle white supremacy and create a genuine multiracial democracy. At the same time, however, she argues that achieving this model of integration in the contemporary United States would be extraordinarily challenging, due to the poisonous legacy of Jim Crow and the hidden, self-reinforcing nature of white privilege today. Pursuing integration against a background of persistent racial injustice might well exacerbate black suffering without any guarantee of achieving racial justice or a worthwhile form of integration. As long as the future of integration remains uncertain, its pursuit can neither be prescribed as a moral obligation nor rejected as intrinsically indefensible. In An Impossible Dream? Stanley dissects this vexing moral and political quandary.

What’s the point of calculating definite integrals since you can’t possibly do them all? What makes doing the specific integrals in this book of value aren’t the specific answers we’ll obtain, but rather the methods we’ll use in obtaining those answers; methods you can use for evaluating the integrals you will encounter in the future. This book, now in its second edition, is written in a light-hearted manner for students who have completed the first year of college or high school AP calculus and have just a bit of exposure to the concept of a differential equation. Every result is fully derived. If you are fascinated by definite integrals, then this is a book for you. New material in the second edition includes 25 new challenge problems and solutions, 25 new worked examples, simplified derivations, and additional historical discussion.

Todd McGowan studies Lynch's talent for blending the bizarre and the normal to emphasise the odd nature of normality itself. In Lynch's movies, fantasy becomes a means through which the viewer is encouraged to build a revolutionary relationship with the world.

The biggest names in Data Warehousing tell what they would do in the difficult situations DW professionals face every day. The book contains very real problem situations, and very practical solutions.

The 'anti-group' is a major conceptual addition to the theory and practice of group psychotherapy. It comprises the negative, disruptive elements, which threaten to undermine and even destroy the group, but when contained, have the potential to mobilise the group's creative processes. Understanding the 'anti-group' gives therapists new perspectives on the nature of relationships and alternative strategies for managing destructive behaviour.

This book, first published in 2004, uses the problem of exact evaluation of definite integrals as a starting point for exploring many areas of mathematics.

Feminism's Empire investigates the complex relationships between imperialisms and feminisms in the late nineteenth century and demonstrates the challenge of conceptualizing "pro-imperialist" and "anti-imperialist" as binary positions. By intellectually and spatially tracing the era's first French feminists' engagement with empire, Carolyn J. Eichner explores how feminists opposed—yet employed—approaches to empire in writing, speaking, and publishing. In differing ways, they ultimately tied forms of imperialism to gender liberation. Among the era's first anti-imperialists, French feminists were enmeshed in the hierarchies and epistemologies of empire. They likened their gender-based marginalization to imperialist oppressions. Imperialism and colonialism's gendered and sexualized racial hierarchies established categories of inclusion and exclusion that rested in both universalism and ideas of "nature" that presented colonized people with theoretical, yet impossible, paths to integration. Feminists faced similar barriers to full incorporation due to the gendered contradictions inherent in universalism. The system presumed citizenship to be male and thus positioned women as outsiders. Feminism's Empire connects this critical struggle to hierarchical power shifts in racial and national status that created uneasy linkages between French feminists and imperial authorities.

In the United States, broad study in an array of different disciplines â€"arts, humanities, science, mathematics, engineeringâ€" as well as an in-depth study within a special area of interest, have been defining characteristics of a higher education. But over time, in-depth study in a major discipline has come to dominate the curricula at many institutions. This evolution of the curriculum has been driven, in part, by increasing specialization in the academic disciplines. There is little doubt that disciplinary specialization has helped produce many of the achievement of the past century. Researchers in all academic disciplines have been able to delve more deeply into their areas of expertise, grappling with ever more specialized and fundamental problems. Yet today, many leaders, scholars, parents, and students are asking whether higher education has moved too far from its integrative tradition towards an approach heavily rooted in disciplinary "silos". These "silos" represent what many see as an artificial separation of academic disciplines. This study reflects a growing concern that the approach to higher education that favors disciplinary specialization is poorly calibrated to the challenges and opportunities of our time. The Integration of the Humanities and Arts with Sciences, Engineering, and Medicine in Higher Education examines the evidence behind the assertion that educational programs that mutually integrate learning experiences in the humanities and arts with science, technology, engineering, mathematics, and medicine (STEMM) lead to improved educational and career outcomes for undergraduate and graduate students. It explores evidence regarding the value of integrating more STEMM curricula and labs into the academic programs of students majoring in the humanities and arts and evidence regarding the value of integrating curricula and experiences in the arts and humanities into college and university STEMM education programs.