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This volume presents fourteen original essays which explore the philosophy of Simon Blackburn, and his lifetime pursuit of a distinctive projectivist and anti-realist research program. The essays document the range and influence of Blackburn's work and reveal, among other things, the resourcefulness of his brand of philosophical pragmatism.
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.
The author of the highly popular book Think, which Time magazine hailed as "the one book every smart person should read to understand, and even enjoy, the key questions of philosophy," Simon Blackburn is that rara avis--an eminent thinker who is able to explain philosophy to the general reader. Now Blackburn offers a tour de force exploration of what he calls "the most exciting and engaging issue in the whole of philosophy"--the age-old war over truth. The front lines of this war are well defined. On one side are those who believe in plain, unvarnished facts, rock-solid truths that can be found through reason and objectivity--that science leads to truth, for instance. Their opponents mock th...
The ninth in the series of IMA Conferences on Cryptography and Coding was held (as ever) at the Royal Agricultural College, Cirencester, from 16–18 Dec- ber 2003. The conference’s varied programme of 4 invited and 25 contributed papers is represented in this volume. The contributed papers were selected from the 49 submissions using a - reful refereeing process. The contributed and invited papers are grouped into 5 topics: coding and applications; applications of coding in cryptography; cryp- graphy; cryptanalysis; and network security and protocols. These topic headings represent the breadth of activity in the areas of coding, cryptography and c- munications, and the rich interplay betwe...
The fruit of a conference that gathered seven very active researchers in the field, Combinatorial Design and their Applications presents a wide but representative range of topics on the non-geometrical aspects of design theory. By concentrating on a few important areas, the authors succeed in providing greater detail in these areas in a more complete and accessible form. Through their contributions to this collection, they help fill a gap in the available combinatorics literature.The papers included in this volume cover recent developments in areas of current interest, such as difference sets, cryptography, and optimal linear codes. Researchers in combinatorics and other areas of pure mathematics, along with researchers in statistics and computer design will find in-depth, up-to-date discussions of design theory and the application of the theory to statistical design, codes, and cryptography.
This book constitutes the refereed proceedings of the 4th International Algorithmic Number Theory Symposium, ANTS-IV, held in Leiden, The Netherlands, in July 2000. The book presents 36 contributed papers which have gone through a thorough round of reviewing, selection and revision. Also included are 4 invited survey papers. Among the topics addressed are gcd algorithms, primality, factoring, sieve methods, cryptography, linear algebra, lattices, algebraic number fields, class groups and fields, elliptic curves, polynomials, function fields, and power sums.
This book constitutes the proceedings of the 7th International Conference on Information Theoretic Security, ICITS 2013, held in Singapore in November 2013. The 14 papers presented in this volume were carefully reviewed and selected from 49 submissions. Topics of interest are: unconditional security, quantum cryptography, authentication codes, wiretap channels, randomness extraction, codes and cryptography, lattices and cryptography, secret sharing, multiparty Computation, bounded storage model, oblivious transfer, nonlocality and nonsignaling, quantum information theory, network coding security, physical models and assumptions, physical layer security.
This first volume of a two-volume book contains selected papers from the international conference Groups St Andrews 2009. Leading researchers in their respective areas, including Gerhard Hiss and Volodymyr Nekrashevych, survey the latest developments in algebra.
AboutCryptology It is nowwidelyperceivedthatweareexperiencinganinformationrevolution whose e?ects will ultimately be as pervasive and profound as was brought by the industrial revolution of the last century. From the beginning of time, information has been an important asset for humans. In the early days of humanexistence,themereknowledgeofwheretomosteasilygatherfoodwas the di?erence between life and death. Throughout history, information has provided the means for winning wars, making fortunes, and shaping history. The underlying theme of the information revolution is that we continue to ?nd new ways to use information. These new uses for information serve to highlight our need to protect d...
These proceedings of 'Groups St Andrews 2017' provide a snapshot of the state-of-the-art in contemporary group theory.