Selecta Pilar Bayer. Volum II


Book Description

L’obra incomparable de Pilar Bayer està escrita en les persones,en totes les persones a les quals, en un moment o altre, ens ha fet gaudir del plaer d’escoltar matemàtiques, d’aprendre matemàtiques, de fer matemàtiques. Aquesta obra diversa, eclèctica, rica en mil matisos, roman en el terreny de les experiències personals que fan la nostra vida més interessant, i no la podem plasmar en un volum, ni en dos. És un llegat fantàstic que portem incorporat. Els treballs recopilats en aquests volums en ocasió del setantè aniversari de Pilar Bayer mostren en un format palpable l’amplitud de la seva òptica matemàtica, la profunditat i la bellesa de les seves matemàtiques. No és un recull exhaustiu, sinó una invitació perquè el lector faci un tastet d’allò que li agradi més. Després, ja no podrà parar. La persona i l’obra el captivaran per seguir endavant.




Universal Empire


Book Description

This book explores the aspiration to universal, imperial rule across Eurasian history from antiquity to the eighteenth century.




Trends and Impacts of Foreign Investment in Developing Country Agriculture


Book Description

Substantial increases in agricultural investments in developing countries are needed to combat poverty and realize food security and nutrition goals. There is evidence that agricultural investments can generate a wide range of developmental benefits, but these benefits cannot be expected to arise automatically and some forms of large-scale investment carry risks for host countries. Although there has been much debate about the potential benefits and risks of international investment, there is no systematic evidence on the actual impacts on the host country and their determinants. In order to acquire an in-depth understanding of potential benefits, constraints and costs of foreign investment in agriculture and of the business models that are more conducive to development, FAO has undertaken research in developing countries.This publication summarizes the results of this research, in particular through the presentation of the main findings of case studies in nine developing countries. It presents case studies on policies to attract foreign investment in agriculture and their impacts on national economic development in selected countries in Africa, Asian and Latin America.




Ramanujan


Book Description

The letters that Ramanujan wrote to G. H. Hardy on January 16 and February 27, 1913, are two of the most famous letters in the history of mathematics. These and other letters introduced Ramanujan and his remarkable theorems to the world and stimulated much research, especially in the 1920s and 1930s. This book brings together many letters to, from, and about Ramanujan. The letters came from the National Archives in Delhi, the Archives in the State of Tamil Nadu, and a variety of other sources. Helping to orient the reader is the extensive commentary, both mathematical and cultural, by Berndt and Rankin; in particular, they discuss in detail the history, up to the present day, of each mathematical result in the letters. Containing many letters that have never been published before, this book will appeal to those interested in Ramanujan's mathematics as well as those wanting to learn more about the personal side of his life. Ramanujan: Letters and Commentary was selected for the CHOICE list of Outstanding Academic Books for 1996.




Synthetic Philosophy of Contemporary Mathematics


Book Description

A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest. A panoramic survey of the vast spectrum of modern and contemporary mathematics and the new philosophical possibilities they suggest, this book gives the inquisitive non-specialist an insight into the conceptual transformations and intellectual orientations of modern and contemporary mathematics. The predominant analytic approach, with its focus on the formal, the elementary and the foundational, has effectively divorced philosophy from the real practice of mathematics and the profound conceptual shifts in the discipline over the last century. The first part discusses the specificity of modern (1830–1950) and contemporary (1950 to the present) mathematics, and reviews the failure of mainstream philosophy of mathematics to address this specificity. Building on the work of the few exceptional thinkers to have engaged with the “real mathematics” of their era (including Lautman, Deleuze, Badiou, de Lorenzo and Châtelet), Zalamea challenges philosophy's self-imposed ignorance of the “making of mathematics.” In the second part, thirteen detailed case studies examine the greatest creators in the field, mapping the central advances accomplished in mathematics over the last half-century, exploring in vivid detail the characteristic creative gestures of modern master Grothendieck and contemporary creators including Lawvere, Shelah, Connes, and Freyd. Drawing on these concrete examples, and oriented by a unique philosophical constellation (Peirce, Lautman, Merleau-Ponty), in the third part Zalamea sets out the program for a sophisticated new epistemology, one that will avail itself of the powerful conceptual instruments forged by the mathematical mind, but which have until now remained largely neglected by philosophers.




The Abel Prize


Book Description

The book presents the winners of the first five Abel Prizes in mathematics: 2003 Jean-Pierre Serre; 2004 Sir Michael Atiyah and Isadore Singer; 2005 Peter D. Lax; 2006 Lennart Carleson; and 2007 S.R. Srinivasa Varadhan. Each laureate provides an autobiography or an interview, a curriculum vitae, and a complete bibliography. This is complemented by a scholarly description of their work written by leading experts in the field and by a brief history of the Abel Prize. Interviews with the laureates can be found at http://extras.springer.com .




Gnostica, Judaica, Catholica. Collected Essays of Gilles Quispel


Book Description

This volume brings together a rich and varied collection of essays by Gilles Quispel (1916-2006), Professor of the History of the Early Church at Utrecht University from 1951 until his retirement in 1983. During his illustrious career, Professor Quispel was also visiting Professor at Harvard University in 1964/65, and visiting Professor at the Catholic University of Leuven from 1969 until 1974. The fifty essays collected in this volume testify to most of the prominent themes from Professor Quispel’s scholarly career: the writings of the Nag Hammadi library in general and the Gospel of Thomas in particular; Tatian’s Diatessaron and its influences; the Hermetica; Mani and Manichaeism; the Jewish origins of Gnosticism; and Gnosis and the future of Christianity. This volume also makes a number of his less known earlier publications (mainly presented under the heading ‘Catholica’) available to the international community. Until shortly before he died, Professor Quispel remained active in his study of the Gospel of Thomas. He had been one of the first to acquire the Coptic text of the Gospel of Thomas, of which he published the first translation in 1959 and his final translation in 2005. He was also active in researching the Diatessaron, and Valentinus ‘the Gnostic’. One of his most recent essays – published for the first time in this volume – is on ‘the Muslim Jesus.’




Kurt Baschwitz


Book Description

Kurt Baschwitz (1886-1968) had a lifelong fascination for 'the riddle of the mass' in both its visible and invisible forms. He was a major pioneer of communication and media studies on the European continent, an early student of the social, political, and mass psychology of crowds, publics, audiences, and public opinion, as well as a versatile social historian. Half a century after his death, however, he risks being forgotten and misunderstood, falling through the cracks of history.




Mathematical Reviews


Book Description




Frontiers in Quantum Computing


Book Description

Quantum Computing is an ever-increasing field of interest both from a conceptual and applied standpoint. Quantum Computing, belonging to the so called "Quantum Information Science", is founded on the principles of Quantum Mechanics and Information Science. Quantum Mechanics has radically changed our vision and understanding of the physical reality and has had also an enormous technological and societal impact. On the other hand, the developing of Information Theory, including computer science and communications theory, made possible the information "revolution" which had a deep impact on our everyday life. Quantum Computing then relates to the possibility to represent, process and manipulate information by using the principles of quantum mechanics. Apart the theoretical importance of quantum computing to further understand the quantum mechanical behavior of physical systems and the physical foundation of information itself at the most elementary level, probably the most interesting feature of Quantum Computing is related to the possibility to design and realize an actual quantum computer which processes information in the form of quantum-bits or qubits. The great interest of scientific community in the realization of such devices mainly concerns the common believe they could be enormously faster than their classical counterparts so allowing their employment in all the applied fields where computational power is a key feature. Furthermore, the study of Quantum Computing, both at the physical and computational level, would be very important for a deeper understanding of the quantum behavior of a very wide range of physical systems including condensed matter, living systems, elementary particles, astrophysical structures and so on. Despite the general theoretical basis of quantum computing are sufficiently understood, the actual realization of a general - purpose and really usable quantum computer has posed great difficulties so far, mainly related to the issue of "quantum decoherence", the computational speed and scalability many of which still remain substantially unsolved. This volume doesn't mean to represent a complete or a beginner guide to Quantum Computing but has the aim to present some of its most interesting and fascinating developments in different frontier areas related to both theoretical and applied aspects, such, for example, the possibility to realize a quantum superfast "hypercomputing" system using water molecules as physical substrate to process, storage and retrieve information; the connection between quantum computers and quantum gravity; the development of an "instantaneous quantum computer algorithm"; the realization of a universal quantum computer, of a brain-like quantum supercomputer and many others frontiers topics. The target audience of this book is then composed by scientists and researchers interested in the most advanced theoretical and applied developments of quantum computation and quantum information.