Modern Algebra and the Rise of Mathematical Structures

Modern Algebra and the Rise of Mathematical Structures

Author: Leo Corry

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 463

ISBN-13: 3034879172

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This book describes two stages in the historical development of the notion of mathematical structures: first, it traces its rise in the context of algebra from the mid-1800s to 1930, and then considers attempts to formulate elaborate theories after 1930 aimed at elucidating, from a purely mathematical perspective, the precise meaning of this idea.


Union Retreat and the Regions

Union Retreat and the Regions

Author: Ron L. Martin

Publisher: Psychology Press

Published: 1996

Total Pages: 262

ISBN-13: 0117023760

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Since the beginning of the 1980s, British trade unions have experienced a dramatic retreat, marked by rapidly falling membership and declining industrial power. The authors examine the regional dimensions of this retreat of organised labour, paying particular attention to: The resilience of the unions' historical heartland areas. The impact of economic restructuring on local union traditions. The shrinking landscape of industrial militancy. The geographical decentralization of the new industrial relations. The link between these factors and the more general debate on regional development and regional labour markets. An important synthesis of economic geography and industrial relations work, this book marks a major contribution towards the newly emerging field of labour geography


Galois' Theory Of Algebraic Equations (Second Edition)

Galois' Theory Of Algebraic Equations (Second Edition)

Author: Jean-pierre Tignol

Publisher: World Scientific Publishing Company

Published: 2015-12-28

Total Pages: 325

ISBN-13: 9814704717

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The book gives a detailed account of the development of the theory of algebraic equations, from its origins in ancient times to its completion by Galois in the nineteenth century. The appropriate parts of works by Cardano, Lagrange, Vandermonde, Gauss, Abel, and Galois are reviewed and placed in their historical perspective, with the aim of conveying to the reader a sense of the way in which the theory of algebraic equations has evolved and has led to such basic mathematical notions as 'group' and 'field'. A brief discussion of the fundamental theorems of modern Galois theory and complete proofs of the quoted results are provided, and the material is organized in such a way that the more technical details can be skipped by readers who are interested primarily in a broad survey of the theory.In this second edition, the exposition has been improved throughout and the chapter on Galois has been entirely rewritten to better reflect Galois' highly innovative contributions. The text now follows more closely Galois' memoir, resorting as sparsely as possible to anachronistic modern notions such as field extensions. The emerging picture is a surprisingly elementary approach to the solvability of equations by radicals, and yet is unexpectedly close to some of the most recent methods of Galois theory.


Business Networks in Clusters and Industrial Districts

Business Networks in Clusters and Industrial Districts

Author: Fiorenza Belussi

Publisher: Taylor & Francis

Published: 2009-09-10

Total Pages: 444

ISBN-13: 1134048556

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During the 1980s the Marshallian concept of industrial district (ID) became widely popular due to the resurgence of interest in the reasons that make the agglomeration of specialised industries a territorial phenomenon worth being analysed. The analysis of clusters and IDs has often been limited, considering only the local dimension of the created business networks. The external links of these systems have been systematically under-evaluated. This book offers a deep insight into the evolution of these systems and the internal-external mechanism of knowledge circulation and learning. This means that the access to external knowledge (information or R&D cooperative research) or to productive networks (global supply chains) is studied in order to describe how external knowledge is absorbed and how local clusters or districts become global systems. It provides a unified approach; showing that existing capabilities expand when locally embedded knowledge is combined with accessible external knowledge. In this view, external knowledge linkages reduce the danger of cognitive ‘lock-in’ and ‘over-embeddedness’, which may become important obstacles to local learning and innovation when technological trajectories and global economic conditions change. A selection of international experts


Regional Development Strategies

Regional Development Strategies

Author: Jeremy Alden

Publisher: Routledge

Published: 2013-10-18

Total Pages: 337

ISBN-13: 1136037128

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Regional development strategies have become the focus of attention in many countries in the 1990s. This textbook provides a conceptual, theoretical and empirical analysis of regional development strategies within a European context It examines the various regional development strategies which are currently being pursued within the regions of Europe - defined in its loosest term to include East and West. The book describes how many different European regions are attempting to reduce regional disparities by engaging themselves in coherent and focused regional development strategies, and there is also private sector approach to regional economic development. There are many case studies from Europe and from other parts of the world, including Japan, thereby providing lessons that different countries and regions can learn form each other.