This volume includes the proceedings of a workshop on Invariant Theory held at Queen's University (Ontario). The workshop was part of the theme year held under the auspices of the Centre de recherches mathematiques (CRM) in Montreal. The gathering brought together two communities of researchers: those working in characteristic 0 and those working in positive characteristic. The book contains three types of papers: survey articles providing introductions to computational invarianttheory, modular invariant theory of finite groups, and the invariant theory of Lie groups; expository works recounting recent research in these three areas and beyond; and open problems of current interest. The book is suitable for graduate students and researchers working in invarianttheory.
This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the group, a theory that is more complicated than the study of the classical non-modular case. Largely self-contained, the book develops the theory from its origins up to modern results. It explores many examples, illustrating the theory and its contrast with the better understood non-modular setting. It details techniques for the computation of invariants for many modular representations of finite groups, especially the case of the cyclic group of prime order. It includes detailed examples of many topics as well as a quick survey of the elements of algebraic geometry and commutative algebra as they apply to invariant theory. The book is aimed at both graduate students and researchers—an introduction to many important topics in modern algebra within a concrete setting for the former, an exploration of a fascinating subfield of algebraic geometry for the latter.
This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the group, a theory that is more complicated than the study of the classical non-modular case. Largely self-contained, the book develops the theory from its origins up to modern results. It explores many examples, illustrating the theory and its contrast with the better understood non-modular setting. It details techniques for the computation of invariants for many modular representations of finite groups, especially the case of the cyclic group of prime order. It includes detailed examples of many topics as well as a quick survey of the elements of algebraic geometry and commutative algebra as they apply to invariant theory. The book is aimed at both graduate students and researchers—an introduction to many important topics in modern algebra within a concrete setting for the former, an exploration of a fascinating subfield of algebraic geometry for the latter.
Conference on Error-control Codes, Information Theory, and Applied Cryptography, December 5-6, 2007, Fields Institute, Toronto, Ontario, Canada : Canadian Mathematical Society Special Session on Error Control Codes, Information Theory, and Applied Cryptography, Dec 8-10, 2007, CMS Winter Meeting, London, Ontario, Canada
Conference on Error-control Codes, Information Theory, and Applied Cryptography, December 5-6, 2007, Fields Institute, Toronto, Ontario, Canada : Canadian Mathematical Society Special Session on Error Control Codes, Information Theory, and Applied Cryptography, Dec 8-10, 2007, CMS Winter Meeting, London, Ontario, Canada
This interdisciplinary volume contains papers from both a conference and special session on Error-Control Codes, Information Theory and Applied Cryptography. The conference was held at the Fields Institute in Toronto, On, Canada from December 5-6, 2007, and the special session was held at the Canadian Mathematical Society's winter meeting in London, ON, Canada from December 8-10, 2007. The volume features cutting-edge theoretical results on the Reed-Muller and Reed-Solomon codes, classical linear codes, codes from nets and block designs, LDPC codes, perfect quantum and orthogonal codes, iterative decoding, magnetic storage and digital memory devices, and MIMO channels. There are new contributions on privacy reconciliation, resilient functions, cryptographic hash functions, and new work on quantum coins. Related original work in finite geometries concerns two-weight codes coming from partial spreads, (0, 1) matrices with forbidden configurations, Andre embeddings, and representations of projective spaces in affine planes. Great care has been taken to ensure that high expository standards are met by the papers in this volume. Accordingly, the papers are written in a user-friendly format. The hope is that this volume will be of interst and of benefit both to the experienced and to newcomers alike.
This book covers the modular invariant theory of finite groups, the case when the characteristic of the field divides the order of the group, a theory that is more complicated than the study of the classical non-modular case. Largely self-contained, the book develops the theory from its origins up to modern results. It explores many examples, illustrating the theory and its contrast with the better understood non-modular setting. It details techniques for the computation of invariants for many modular representations of finite groups, especially the case of the cyclic group of prime order. It includes detailed examples of many topics as well as a quick survey of the elements of algebraic geometry and commutative algebra as they apply to invariant theory. The book is aimed at both graduate students and researchers—an introduction to many important topics in modern algebra within a concrete setting for the former, an exploration of a fascinating subfield of algebraic geometry for the latter.
Mr. Dobson combed through a variety of sources to produce lists of Scots who settled in Poland, Russia, and the Baltic states. Arranged alphabetically, the entries furnish the individual's name with variants, a place of residence in Eastern Europe, the date of the record, and its source. Given the widely disparate character of the subject matter, one may also find a reference to the individual's place of origin in Scotland, occupation, relationships to other persons named (i.e., parent, spouse, offspring), membership in a fraternal organization, etc.
The Word Biblical Commentary delivers the best in biblical scholarship, from the leading scholars of our day who share a commitment to Scripture as divine revelation. This series emphasizes a thorough analysis of textual, linguistic, structural, and theological evidence. The result is judicious and balanced insight into the meanings of the text in the framework of biblical theology. These widely acclaimed commentaries serve as exceptional resources for the professional theologian and instructor, the seminary or university student, the working minister, and everyone concerned with building theological understanding from a solid base of biblical scholarship. Overview of Commentary Organization Introduction—covers issues pertaining to the whole book, including context, date, authorship, composition, interpretive issues, purpose, and theology. Each section of the commentary includes: Pericope Bibliography—a helpful resource containing the most important works that pertain to each particular pericope. Translation—the author’s own translation of the biblical text, reflecting the end result of exegesis and attending to Hebrew and Greek idiomatic usage of words, phrases, and tenses, yet in reasonably good English. Notes—the author’s notes to the translation that address any textual variants, grammatical forms, syntactical constructions, basic meanings of words, and problems of translation. Form/Structure/Setting—a discussion of redaction, genre, sources, and tradition as they concern the origin of the pericope, its canonical form, and its relation to the biblical and extra-biblical contexts in order to illuminate the structure and character of the pericope. Rhetorical or compositional features important to understanding the passage are also introduced here. Comment—verse-by-verse interpretation of the text and dialogue with other interpreters, engaging with current opinion and scholarly research. Explanation—brings together all the results of the discussion in previous sections to expose the meaning and intention of the text at several levels: (1) within the context of the book itself; (2) its meaning in the OT or NT; (3) its place in the entire canon; (4) theological relevance to broader OT or NT issues. General Bibliography—occurring at the end of each volume, this extensive bibliographycontains all sources used anywhere in the commentary.
This textbook describes the equipment, observational techniques, and analysis used in the investigation of stellar photospheres. Now in its fourth edition, the text has been thoroughly updated and revised to be more accessible to students. New figures have been added to illustrate key concepts, while diagrams have been redrawn and refreshed throughout. The book starts by developing the tools of analysis, and then demonstrates how they can be applied. Topics covered include radiation transfer, models of stellar photospheres, spectroscopic equipment, how to observe stellar spectra, and techniques for measuring stellar temperatures, radii, surface gravities, chemical composition, velocity fields, and rotation rates. Up-to-date results for real stars are included. Written for starting graduate students or advanced undergraduates, this textbook also includes a wealth of reference material useful to researchers. eBook formats include color imagery while print formats are greyscale only; a wide selection of the color images are available online.
Known collectively as the 'Great War', for over a decade the Napoleonic Wars engulfed not only a whole continent but also the overseas possessions of the leading European states. A war of unprecedented scale and intensity, it was in many ways a product of change that acted as a catalyst for upheaval and reform across much of Europe, with aspects of its legacy lingering to this very day. There is a mass of literature on Napoleon and his times, yet there are only a handful of scholarly works that seek to cover the Napoleonic Wars in their entirety, and fewer still that place the conflict in any broader framework. This study redresses the balance. Drawing on recent findings and applying a 'total' history approach, it explores the causes and effects of the conflict, and places it in the context of the evolution of modern warfare. It reappraises the most significant and controversial military ventures, including the war at sea and Napoleon's campaigns of 1805-9. The study gives an insight into the factors that shaped the war, setting the struggle in its wider economic, cultural, political and intellectual dimensions.
This is the first in a sequence of books which explores the history of The Baltic World and Northern Europe. In this period, Sweden was a major European power, occupying a central position in international politics. Her rise and decline, and the passing of regional hegemony to the new powers of Russia and Prussia, are central features in the book. Dr Kirby describes the evolving social and political systems of the principal Baltic states of the time, he gives the key events and processes in European history a new interest and freshness by showing them from the unfamiliar perspective of the northern world.
The objects listed in the Caldwell Catalogue supplement Messiers famous catalogue of 110 non-stellar objects, and include some of the most fascinating objects for amateur astronomers. This comprehensive guide has been produced specially for observers, with each object conveniently shown on a double-page spread. There is a photographic image of every object and full technical data including position and NGC number. It also includes a finder map showing TelradTM circles, a star-hopping guide, a visual description of each object as seen through amateur telescopes, and a physical description of the object itself. Finally, there is a fold-out map showing the location of all the Caldwell objects in the sky. A practical and essential guide.
The magnificent, unrivaled history of codes and ciphers -- how they're made, how they're broken, and the many and fascinating roles they've played since the dawn of civilization in war, business, diplomacy, and espionage -- updated with a new chapter on computer cryptography and the Ultra secret. Man has created codes to keep secrets and has broken codes to learn those secrets since the time of the Pharaohs. For 4,000 years, fierce battles have been waged between codemakers and codebreakers, and the story of these battles is civilization's secret history, the hidden account of how wars were won and lost, diplomatic intrigues foiled, business secrets stolen, governments ruined, computers hacked. From the XYZ Affair to the Dreyfus Affair, from the Gallic War to the Persian Gulf, from Druidic runes and the kaballah to outer space, from the Zimmermann telegram to Enigma to the Manhattan Project, codebreaking has shaped the course of human events to an extent beyond any easy reckoning. Once a government monopoly, cryptology today touches everybody. It secures the Internet, keeps e-mail private, maintains the integrity of cash machine transactions, and scrambles TV signals on unpaid-for channels. David Kahn's The Codebreakers takes the measure of what codes and codebreaking have meant in human history in a single comprehensive account, astonishing in its scope and enthralling in its execution. Hailed upon first publication as a book likely to become the definitive work of its kind, The Codebreakers has more than lived up to that prediction: it remains unsurpassed. With a brilliant new chapter that makes use of previously classified documents to bring the book thoroughly up to date, and to explore the myriad ways computer codes and their hackers are changing all of our lives, The Codebreakers is the skeleton key to a thousand thrilling true stories of intrigue, mystery, and adventure. It is a masterpiece of the historian's art.
Geometric Invariant Theory" by Mumford/Fogarty (the firstedition was published in 1965, a second, enlarged editonappeared in 1982) is the standard reference on applicationsof invariant theory to the construction of moduli spaces.This third, revised edition has been long awaited for by themathematical community. It is now appearing in a completelyupdated and enlarged version with an additional chapter onthe moment map by Prof. Frances Kirwan (Oxford) and a fullyupdated bibliography of work in this area.The book deals firstly with actions of algebraic groups onalgebraic varieties, separating orbits by invariants andconstructionquotient spaces; and secondly with applicationsof this theory to the construction of moduli spaces.It is a systematic exposition of the geometric aspects ofthe classical theory of polynomial invariants.
This early work by David Hilbert was originally published in the early 20th century and we are now republishing it with a brand new introductory biography. David Hilbert was born on the 23rd January 1862, in a Province of Prussia. Hilbert is recognised as one of the most influential and universal mathematicians of the 19th and early 20th centuries. He discovered and developed a broad range of fundamental ideas in many areas, including invariant theory and the axiomatization of geometry. He also formulated the theory of Hilbert spaces, one of the foundations of functional analysis.
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