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Acclaimed by American Mathematical Monthly as "an excellent introduction,"this treatment ranges from basic definitions to important results and applications, introducing both the spirit and techniques of abstract algebra. It develops the elementary properties of rings and fields, explores extension fields and Galois theory, and examines numerous applications. 1982 edition.
This book is a companion to A general topology workbook published by Birkhiiuser last year. In an ideal world the order of publication would have been reversed, for the notation and some of the results of the present book are used in the topology book and on the other hand (the reader may be assured) no topology is used here. Both books share the word Workbook in their titles. They are based on the principle that for at least some branches of mathematics a good way for a student to learn is to be presented with a clear statement of the definitions of the terms with which the subject is concerned and then to be faced with a collection of problems involving the terms just defined. In adopting this approach with my Dundee students of set theory and general topology I found it best not to differentiate too precisely between simple illustrative examples, easy exercises and results which in conventional textbooks would be labelled as Theorems.
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Levensbeschrijving van de Stichter van de Ahmadiyya-beweging 1835-1908
All young computer scientists who aspire to write programs must learn something about algorithms and data structures. This book does exactly that. Based on lecture courses developed by the author over a number of years the book is written in an informal and friendly way specifically to appeal to students. The book is divided into four parts: the first on Data Structures introduces a variety of structures and the fundamental operations associated with them, together with descriptions of how they are implemented in Pascal; the second discusses algorithms and the notion of complexity; Part III is concerned with the description of successively more elaborate structures for the storage of records and algorithms for retrieving a record from such a structure by means of its key; and finally, Part IV consists of very full solutions to nearly all the exercises in the book.
"This book is the first scholarly appraisal of the teaching, beliefs and lifestyle of the Ahmadiyya Jama'at, an Islamic reform group founded in the nineteenth-century India that has millions of followers world-wide." "Following an account of the life of Mirza Ghulam Ahmad, the movement's founder, Valentine discusses the history of the Ahmadi, their proselytisation strategies, the role of mosquqes and madrasas, the position of women and the Ahmadi doctrine of peaceful jihad."--BOOK JACKET.
This book has been called a Workbook to make it clear from the start that it is not a conventional textbook. Conventional textbooks proceed by giving in each section or chapter first the definitions of the terms to be used, the concepts they are to work with, then some theorems involving these terms (complete with proofs) and finally some examples and exercises to test the readers' understanding of the definitions and the theorems. Readers of this book will indeed find all the conventional constituents--definitions, theorems, proofs, examples and exercises but not in the conventional arrangement. In the first part of the book will be found a quick review of the basic definitions of general t...
A translation of Hilberts "Theorie der algebraischen Zahlkörper" best known as the "Zahlbericht", first published in 1897, in which he provides an elegantly integrated overview of the development of algebraic number theory up to the end of the nineteenth century. The Zahlbericht also provided a firm foundation for further research in the theory, and can be seen as the starting point for all twentieth century investigations into the subject, as well as reciprocity laws and class field theory. This English edition further contains an introduction by F. Lemmermeyer and N. Schappacher.
The Ahmadiyya Muslim community represents the followers of Mirza Ghulam Ahmad (1835–1908), a charismatic leader whose claims of spiritual authority brought him into conflict with most other Muslim leaders of the time. The controversial movement originated in rural India in the latter part of the 19th century and is best known for challenging current conceptions of Islamic orthodoxy. Despite missionary success and expansion throughout the world, particularly in Western Europe, North America, and parts of Africa, Ahmadis have effectively been banned from Pakistan. Adil Hussain Khan traces the origins of Ahmadi Islam from a small Sufi-style brotherhood to a major transnational organization, which many Muslims believe to be beyond the pale of Islam.