Applications And Continuation Of The General Theory

The chapters in this volume apply the methodology of relevance theory to develop accounts of various pragmatic phenomena which can be associated with the broadly conceived notion of style. Some of them are devoted to central cases of figurative language (metaphor, metonymy, puns, irony) while others deal with issues not readily associated with figurativeness (from multimodal communicative stimuli through strong and weak implicatures to discourse functions of connectives, particles and participles). Other chapters shed light on the use of specific communicative styles, ranging from hate speech to humour and humorous irony. Using the relevance-theoretic toolkit to analyse a spectrum of style-related issues, this volume makes a case for the model of pragmatics founded upon inference and continuity, understood as the non-existence of sharply delineated boundaries between classes of communicative phenomena.

This book was originally published by Macmillan in 1936. It was voted the top Academic Book that Shaped Modern Britain by Academic Book Week (UK) in 2017, and in 2011 was placed on Time Magazine's top 100 non-fiction books written in English since 1923. Reissued with a fresh Introduction by the Nobel-prize winner Paul Krugman and a new Afterword by Keynes’ biographer Robert Skidelsky, this important work is made available to a new generation. The General Theory of Employment, Interest and Money transformed economics and changed the face of modern macroeconomics. Keynes’ argument is based on the idea that the level of employment is not determined by the price of labour, but by the spending of money. It gave way to an entirely new approach where employment, inflation and the market economy are concerned. Highly provocative at its time of publication, this book and Keynes’ theories continue to remain the subject of much support and praise, criticism and debate. Economists at any stage in their career will enjoy revisiting this treatise and observing the relevance of Keynes’ work in today’s contemporary climate.

Zeta-function regularization is a powerful method in perturbation theory, and this book is a comprehensive guide for the student of this subject. Everything is explained in detail, in particular the mathematical difficulties and tricky points, and several applications are given to show how the procedure works in practice, for example in the Casimir effect, gravity and string theory, high-temperature phase transition, topological symmetry breaking, and non-commutative spacetime. The formulae, some of which are new, can be directly applied in creating physically meaningful, accurate numerical calculations. The book acts both as a basic introduction and a collection of exercises for those who want to apply this regularization procedure in practice. Thoroughly revised, updated and expanded, this new edition includes novel, explicit formulas on the general quadratic, the Chowla-Selberg series case, an interplay with the Hadamard calculus, and also features a fresh chapter on recent cosmological applications, including the calculation of the vacuum energy fluctuations at large scale in braneworld and other models.

The Continuity of Legal Systems in Theory and Practice examines a persistent and fascinating question about the continuity of legal systems: when is a legal system existing at one time the same legal system that exists at another time? The book's distinctive approach to this question is to combine abstract critical analysis of two of the most developed theories of legal systems, those of Hans Kelsen and Joseph Raz, with an evaluation of their capacity, in practice, to explain the facts, attitudes and normative standards for which they purport to account. That evaluation is undertaken by reference to Australian constitutional law and history, whose diverse and complex phenomena make it particularly apt for evaluating the theories' explanatory power. In testing whether the depiction of Australian law presented by each theory achieves an adequate 'fit' with historical facts, the book also contributes to the understanding of Australian law and legal systems between 1788 and 2001. By collating the relevant Australian materials systematically for the first time, it presents the case for reconceptualising the role of Imperial laws and institutions during the late nineteenth and early twentieth centuries, and clarifies the interrelationship between Colonial, State, Commonwealth and Imperial legal systems, both before and after Federation.

In the 25 years of its existence Soliton Theory has drastically expanded our understanding of “integrability” and contributed a lot to the reunification of Mathematics and Physics in the range from deep algebraic geometry and modern representation theory to quantum field theory and optical transmission lines.The book is a systematic introduction to the Soliton Theory with an emphasis on its background and algebraic aspects. It is the first one devoted to the general matrix soliton equations, which are of great importance for the foundations and the applications.Differential algebra (local conservation laws, Bäcklund-Darboux transforms), algebraic geometry (theta and Baker functions), and the inverse scattering method (Riemann-Hilbert problem) with well-grounded preliminaries are applied to various equations including principal chiral fields, Heisenberg magnets, Sin-Gordon, and Nonlinear Schrödinger equation.

This book contains around 80 articles on major writings in mathematics published between 1640 and 1940. All aspects of mathematics are covered: pure and applied, probability and statistics, foundations and philosophy. Sometimes two writings from the same period and the same subject are taken together. The biography of the author(s) is recorded, and the circumstances of the preparation of the writing are given. When the writing is of some lengths an analytical table of its contents is supplied. The contents of the writing is reviewed, and its impact described, at least for the immediate decades. Each article ends with a bibliography of primary and secondary items. First book of its kind Covers the period 1640-1940 of massive development in mathematics Describes many of the main writings of mathematics Articles written by specialists in their field