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An undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples. Exercises, together with their solutions are integrated into the text, and the first few chapters assume only basic school algebra. Elementary ideas about groups and rings are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums of squares. In particular, the last chapter gives a concise account of Fermat's Last Theorem, from its origin in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.
"This excellent book serves as a warning to journalists not to be taken in by official sources and political ideology but to report what they actually learn through their own efforts. Gamache deserves commendation for his research and careful reconstruction of Jones' reportorial journeys." --Prof. Maurine H. Beasley, College of Journalism, U. of Maryland *** "...meticulously researched book [that] returns Gareth Jones to his rightful status, as one of the most outstanding journalists of his generation, in a tumultuous era that depended upon honest journalism as its main source of news."--Nigel Linsan Colley *** "Extraordinary...Jones' articles...caused a small sensation...Because [his] noteb...
The Encyclopedia of Historians and Historical Writing contains over 800 entries ranging from Lord Acton and Anna Comnena to Howard Zinn and from Herodotus to Simon Schama. Over 300 contributors from around the world have composed critical assessments of historians from the beginning of historical writing to the present day, including individuals from related disciplines like Jürgen Habermas and Clifford Geertz, whose theoretical contributions have informed historical debate. Additionally, the Encyclopedia includes some 200 essays treating the development of national, regional and topical historiographies, from the Ancient Near East to the history of sexuality. In addition to the Western tradition, it includes substantial assessments of African, Asian, and Latin American historians and debates on gender and subaltern studies.
Too many companies are managed not by leaders, but by mere role players and faceless bureaucrats. What does it take to be a real leader—one who is confident in who she is and what she stands for, and who truly inspires people to achieve extraordinary results? Rob Goffee and Gareth Jones argue that leaders don’t become great by aspiring to a list of universal character traits. Rather, effective leaders are authentic: they deploy individual strengths to engage followers’ hearts, minds, and souls. They are skillful at consistently being themselves, even as they alter their behaviors to respond effectively in changing contexts. In this lively and practical book, Goffee and Jones draw from ...
Since time immemorial, women have been the most consistently and universally abused people group on Planet Earth, as men in virtually every human culture have systematically, unrelentingly, and often violently dominated women . Unfortunately women of faith have also been virtually bound in chains of submission and gagged by demands for silence since the end of the apostolic era. God and Women brings serious biblical and historical scholarship to bear on the role of women in family, society, and church in an analysis of God's original intentions for women and for men at the moment when he created humanity. Whether you are a woman or a man, this book and the other volumes in this series will literally set you free, challenging you to think and to act on divine truths from the Hebraic foundations of your faith. You will clearly see God's original design and intent for women, and you will start tearing down prison walls that have deprived half of God's children of the freedom to pursue his gifts and calling in the family, in the society, and especially in the community of faith.
This text is an elementary introduction to information and coding theory. The first part focuses on information theory, covering uniquely decodable and instantaneous codes, Huffman coding, entropy, information channels, and Shannon’s Fundamental Theorem. In the second part, linear algebra is used to construct examples of such codes, such as the Hamming, Hadamard, Golay and Reed-Muller codes. Contains proofs, worked examples, and exercises.
Hunangofiant un o ser cynnar y gyfres deledu Fferm Ffactor, Gareth Wyn Jones.
An elementary account of many aspects of classical complex function theory, including Mobius transformations, elliptic functions, Riemann surfaces, Fuchsian groups and modular functions. The book is based on lectures given to advanced undergraduate students and is well suited as a textbook for a second course in complex function theory.