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The Mathematical Writings of Évariste Galois
Before he died at the age of twenty, shot in a mysterious early-morning duel at the end of May 1832, Evariste Galois created mathematics that changed the direction of algebra. This book contains English translations of almost all the Galois material. The translations are presented alongside a new transcription of the original French and are enhanced by three levels of commentary. An introduction explains the context of Galois' work, the various publications in which it appears, and the vagaries of his manuscripts. Then there is a chapter in which the five mathematical articles published in his lifetime are reprinted. After that come the testamentary letter and the first memoir (in which Galo...
Groups and Geometry
Contains the Oxford Mathematical Institute notes for undergraduate and first-year postgraduates. The first half of the book covers groups, the second half covers geometry and both parts contain a number of exercises.
Computer-Related Risks
"This sobering description of many computer-related failures throughout our world deflates the hype and hubris of the industry. Peter Neumann analyzes the failure modes, recommends sequences for prevention and ends his unique book with some broadening reflections on the future." —Ralph Nader, Consumer Advocate This book is much more than a collection of computer mishaps; it is a serious, technically oriented book written by one of the world's leading experts on computer risks. The book summarizes many real events involving computer technologies and the people who depend on those technologies, with widely ranging causes and effects. It considers problems attributable to hardware, software, ...
Notes on Infinite Permutation Groups
The book, based on a course of lectures by the authors at the Indian Institute of Technology, Guwahati, covers aspects of infinite permutation groups theory and some related model-theoretic constructions. There is basic background in both group theory and the necessary model theory, and the following topics are covered: transitivity and primitivity; symmetric groups and general linear groups; wreatch products; automorphism groups of various treelike objects; model-theoretic constructions for building structures with rich automorphism groups, the structure and classification of infinite primitive Jordan groups (surveyed); applications and open problems. With many examples and exercises, the book is intended primarily for a beginning graduate student in group theory.
The Right Price
The prescription drug market -- Proposed solutions for rising drug prices -- Measuring the value of prescription drugs -- Measuring drug value : whose job is it anyway? -- Institute for Clinical and Economic Review (ICER) -- Other US value assessment frameworks -- Do drugs for special populations warrant higher prices? -- Improving value measurement -- Aligning prices with value -- The path forward.
Enumeration of Finite Groups
How many groups of order n are there? This is a natural question for anyone studying group theory, and this Tract provides an exhaustive and up-to-date account of research into this question spanning almost fifty years. The authors presuppose an undergraduate knowledge of group theory, up to and including Sylow's Theorems, a little knowledge of how a group may be presented by generators and relations, a very little representation theory from the perspective of module theory, and a very little cohomology theory - but most of the basics are expounded here and the book is more or less self-contained. Although it is principally devoted to a connected exposition of an agreeable theory, the book does also contain some material that has not hitherto been published. It is designed to be used as a graduate text but also as a handbook for established research workers in group theory.
Old and New Terrorism
Offers a picture of the shifts in the practice and reception of terrorism and analyses how globalization has facilitated many of the changes.
The Princeton Companion to Mathematics
The ultimate mathematics reference book This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries—written especially for this book by some of the world's leading mathematicians—that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and music—and much, much more. Unparalleled in its depth of ...
The Collected Papers of William Burnside: Commentary on Burnside's life and work ; Papers 1883-1899
William Burnside was one of the three most important algebraists who were involved in the transformation of group theory from its nineteenth-century origins to a deep twentieth-century subject. Building on work of earlier mathematicians, they were able to develop sophisticated tools for solving difficult problems. All of Burnside's papers are reproduced here, organized chronologically and with a detailed bibliography. Walter Feit has contributed a foreword, and a collection of introductory essays are included to provide a commentary on Burnside's work and set it in perspective along with a modern biography that draws on archive material.
Pentecostal Experience
Pentecostals are known for an experiential spirituality that emphasizes immediate encounters with God through the Holy Spirit. But how should such experience be understood? Is it, in fact, quite so immediate? Neumann argues that Pentecostal experience of God is mediated by the Spirit's work through Scripture, the Christian tradition, and the broader cultural context. Using the work of three contemporary Pentecostal theologians--Frank D. Macchia, Simon K. H. Chan, and Amos Yong--the book demonstrates that a mediated view of experience of God is forging a more mature Pentecostal theology. As further evidence of this maturation, Neumann engages these Pentecostal theologians in ecumenical dialogue with leading representatives from Roman Catholic, Eastern Orthodox, and Protestant traditions.
