This book, first published in 1977, discusses the Muslim contribution to mathematics during the golden age of Muslim learning from the seventh to the thirteenth century. It was during this period that Muslim culture exerted powerful economic, political and religious influence over a large part of the civilised world. The work of the Muslim scholars was by no means limited to religion, business and government. They researched and extended the theoretical and applied science of the Greeks and Romans of an earlier era in ways that preserved and strengthened man’s knowledge in these important fields. Although the main object of this book is to trace the history of the Muslim contribution to mathematics during the European Dark Ages, some effort is made to explain the progress of mathematical thought and its effects upon present day culture. Certain Muslim mathematicians are mentioned because of the important nature of their ideas in the evolution of mathematical thinking during this earlier era. Muslim mathematicians invented the present arithmetical decimal system and the fundamental operations connected with it – addition, subtraction, multiplication, division, raising to a power, and extracting the square root and the cubic root. They also introduced the ‘zero’ symbol to Western culture which simplified considerably the entire arithmetical system and its fundamental operations; it is no exaggeration if it is said that this specific invention marks the turning point in the development of mathematics into a science.

Critical Issues in Mathematics Education presents the significant contributions of Professor Alan Bishop within the mathematics education research community. Six critical issues, each of which have had paramount importance in the development of mathematics education research, are reviewed and include a discussion of current developments in each area. Teacher decision making, spatial/visualizing geometry, teachers and research, cultural/social aspects of mathematics education, sociopolitical issues, and values serve as the basic issues discussed in this examination of mathematics education over the last fifty years during which Professor Bishop has been active in the field. A comprehensive discussion of each of these topics is realized by offering the reader a classic research contribution of Professor Bishop’s together with commentary and invited chapters from leading experts in the field of mathematics education. Critical Issues in Mathematics Education will make an invaluable contribution to the ongoing reflection of mathematic education researchers worldwide, but also to policy makers and teacher educators who wish to understand some of the key issues with which mathematics education has been and still is concerned, and the context within which Professor Bishop’s key contributions to these research issues were made.

This anthology reviews the history, current states, and plans for the development of mathematics education in the Muslim States in Africa, the Middle East, and Asia. There is an introduction by Ahmed Djebbar, the most prominent contemporary scholar of Muslim mathematics. The chapters are written by respective national experts in mathematics education.

The expression of an Islamic political radicalism in Britain has been one of the most dramatic developments in recent decades. Islamic Radicalism and Multicultural Politics explores the nature of this phenomenon by analysing the origins of Islam and its historical contact with Western Europe and Britain, and the emergence of Islamic political radicalism in the Muslim world and in the West. Tahir Abbas draws on historical analysis and contemporary case studies to explore the post-war immigration and integration of Muslim groups, the complex relations that exist between a secular liberal Britain and a diverse but multifaceted Islam, and the extent of social and economic inequalities that affect Muslims as individual citizens and in local area communities. He shows how violent extremism among British Muslims is in reality influenced by a range of issues, including the factors of globalisation and contemporary politics, media and culture. Analysing and dissecting public policy, Abbas offers suggestions for tackling the major social, political and economic questions facing British Muslims in the post-7/7 era. An important contribution to the study of religion, ‘race’ and ethnicity in modern Britain, this accessible work will be of interest to anyone working in the field of Islamic studies, sociology and political radicalism. Cover design by Mahtab Hussain, www.mahtabhussain.com

Praise for the Second Edition "An amazing assemblage of worldwide contributions in mathematics and, in addition to use as a course book, a valuable resource . . . essential." —CHOICE This Third Edition of The History of Mathematics examines the elementary arithmetic, geometry, and algebra of numerous cultures, tracing their usage from Mesopotamia, Egypt, Greece, India, China, and Japan all the way to Europe during the Medieval and Renaissance periods where calculus was developed. Aimed primarily at undergraduate students studying the history of mathematics for science, engineering, and secondary education, the book focuses on three main ideas: the facts of who, what, when, and where major advances in mathematics took place; the type of mathematics involved at the time; and the integration of this information into a coherent picture of the development of mathematics. In addition, the book features carefully designed problems that guide readers to a fuller understanding of the relevant mathematics and its social and historical context. Chapter-end exercises, numerous photographs, and a listing of related websites are also included for readers who wish to pursue a specialized topic in more depth. Additional features of The History of Mathematics, Third Edition include: Material arranged in a chronological and cultural context Specific parts of the history of mathematics presented as individual lessons New and revised exercises ranging between technical, factual, and integrative Individual PowerPoint presentations for each chapter and a bank of homework and test questions (in addition to the exercises in the book) An emphasis on geography, culture, and mathematics In addition to being an ideal coursebook for undergraduate students, the book also serves as a fascinating reference for mathematically inclined individuals who are interested in learning about the history of mathematics.

The brilliant contributions of Islam to science, art, and culture, are a timeless and precious heritage, which should be historically preserved for future generations. The great achievements of Muslim scholars are rarely if at all acknowledged in formal education, and today their identity, origins and impact remain largely obscure. This collection of papers aims to give readers a brief introduction to the intellectual history of Muslims and the contributions that eminent Muslim scholars have made in certain specific fields of knowledge including basic and applied physical and biological sciences, medicine, legal and political theories and practices, economic and financial concepts, models, and institutions, etc.

Mathematics is in the unenviable position of being simultaneously one of the most important school subjects for today's children to study and one of the least well understood. Its reputation is awe-inspiring. Everybody knows how important it is and everybody knows that they have to study it. But few people feel comfortable with it; so much so that it is socially quite acceptable in many countries to confess ignorance about it, to brag about one's incompe tence at doing it, and even to claim that one is mathophobic! So are teachers around the world being apparently legal sadists by inflicting mental pain on their charges? Or is it that their pupils are all masochists, enjoying the thrill of self-inflicted mental torture? More seriously, do we really know what the reasons are for the mathematical activity which goes on in schools? Do we really have confidence in our criteria for judging what's important and what isn't? Do we really know what we should be doing? These basic questions become even more important when considered in the context of two growing problem areas. The first is a concern felt in many countries about the direction which mathematics education should take in the face of the increasing presence of computers and calculator-related technol ogy in society.

Islam has been one of the most powerful religious, social and political forces in history. Over the last 1400 years, from origins in Arabia, a succession of Muslim polities and later empires expanded to control territories and peoples that ultimately stretched from southern France to East Africa and South East Asia. Yet many of the contributions of Muslim thinkers, scientists and theologians, not to mention rulers, statesmen and soldiers, have been occluded. This book rescues from oblivion and neglect some of these personalities and institutions while offering the reader a new narrative of this lost Islamic history. The Umayyads, Abbasids, and Ottomans feature in the story, as do Muslim Spain, the savannah kingdoms of West Africa and the Mughal Empire, along with the later European colonization of Muslim lands and the development of modern nation-states in the Muslim world. Throughout, the impact of Islamic belief on scientific advancement, social structures, and cultural development is given due prominence, and the text is complemented by portraits of key personalities, inventions and little known historical nuggets. The history of Islam and of the world's Muslims brings together diverse peoples, geographies and states, all interwoven into one narrative that begins with Muhammad and continues to this day.

This book explores several branches of the social sciences and their perspectives regarding their relations with decision-making processes: computer science, education, linguistics, sociology, and management. The decision-making process in social contexts is based on the analysis of sound alternatives using evaluative criteria. Therefore, this process is one that can be rational or irrational, and can be based on knowledge and/or beliefs. A decision-making process always produces a final decision, which may or may not imply prompt action, and increases the chances of choosing the best possible alternative. The book is divided into four main parts. The concepts covered in the first part, on computer science, explore how the rise of algorithms and the growth in computing power over the years can influence decision-making processes. In the second part, some traditional and innovative ideas and methods used in education are presented: compulsory schooling, inclusive schools, higher education, etc. In turn, the third part focuses on linguistics aspects, and examines how progress is manifested in language. The fourth part, on sociology, explores how society can be influenced by social norms, human interactions, culture, and religion. Management, regarded as a science of the decision-making process, is explored in the last part of this book. Selected organizations’ strategies, objectives and resources are presented, e.g., human resources, financial resources, and technological resources. The book gathers and presents, in a concise format, a broad range of aspects regarding the decision-making process in social contexts, making it a valuable and unique resource for the scientific community.