The Question Of Integration

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.

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.

To those who study the integration of immigrants in Western countries, both Muslims and Canada are seen to be exceptions to the rule. Muslims are often perceived as unable or unwilling to integrate, mostly due to their religious beliefs; Canada is portrayed as a model for successful integration. This book addresses the intersection of these two types of exceptionalism through an empirical study of the experiences of Muslims in Canada. Drawing on data from large-scale surveys as well as face-to-face interviews, Kazemipur draws a detailed picture of four major domains of immigrant integration: institutional, media, economic, and social/communal. His findings indicate that the integration of Muslims in Canada is not problematic in the institutional and media domains. However, there are serious problems the economic and social domains, which need to be addressed. A fresh account of the lives and experiences of Muslim immigrants in Canada, this book gets at the roots of the so-called Muslim question in Canada. Replete with practical implications, the analysis shows that instead of fixating on religion, the focus should be on economic and social challenges faced by Muslims in Canada.

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.

A highly topical examination of the effect of European integration on relations between states and minority nations. This new collection brings together the leading specialists in the field, and covers a wide range of cases, from Northern Ireland in the West, to Estonia and Latvia in the East, and Cyprus in the South-East. The contributors assess how European integration has affected the preparedness of states to accommodate minorities across a range of fundamental criteria, including: enhanced rights protection; autonomy; the provision of a voice for minorities in the European and international arena; and the promotion of cross-border cooperation among communities dissected by state frontiers. The comprehensive chapters stress the importance of the nationality question, and the fact that, contrary to the hopes and beliefs of many on the left and right, it is not going to go away. Beginning with an introductory essay that summarizes the impact of European integration on the nationalities question, this accessible book will be of strong interest to scholars and researchers of politics, nationalism, ethnic conflict and European studies.

Recent acts of terrorism in Britain and Europe and the events of 9/11 in the United States have greatly influenced immigration, security, and integration policies in these countries. Yet many of the current practices surrounding these issues were developed decades ago, and are ill-suited to the dynamics of today's global economies and immigration patterns. At the core of much policy debate is the inherent paradox whereby immigrant populations are frequently perceived as posing a potential security threat yet bolster economies by providing an inexpensive workforce. Strict attention to border controls and immigration quotas has diverted focus away from perhaps the most significant dilemma: the integration of existing immigrant groups. Often restricted in their civil and political rights and targets of xenophobia, racial profiling, and discrimination, immigrants are unable or unwilling to integrate into the population. These factors breed distrust, disenfranchisement, and hatred-factors that potentially engender radicalization and can even threaten internal security. The contributors compare policies on these issues at three relational levels: between individual EU nations and the U.S., between the EU and U.S., and among EU nations. What emerges is a timely and critical examination of the variations and contradictions in policy at each level of interaction and how different agencies and different nations often work in opposition to each other with self-defeating results. While the contributors differ on courses of action, they offer fresh perspectives, some examining significant case studies and laying the groundwork for future debate on these crucial issues.

Independently commissioned by IAI, the three studies comprising this book examine inter-Arab industrial and economic cooperation. The first chapter analyses the industrial strategies, economic policies and attempts at harmonisation and cooperation of the Arab countries, providing a detailed picture of the convergences and divergences, the potential and the difficulties faced by the region. The second chapter examines the importance of coordinating economic polices if economic integration is to be sustained, and considers the implications to the world economy. Lastly, the third chapter examines Arab labour flows, a key factor in the development of the Arab countries. First published in 1979.