Author: Évariste Galois Publisher: European Mathematical Society ISBN: 9783037191040 Category : Mathematics Languages : en Pages : 426
Book Description
Before he died at the age of twenty, shot in a mysterious early-morning duel at the end of May 1832, Evariste Galois created mathematics that changed the direction of algebra. This book contains English translations of almost all the Galois material. The translations are presented alongside a new transcription of the original French and are enhanced by three levels of commentary. An introduction explains the context of Galois' work, the various publications in which it appears, and the vagaries of his manuscripts. Then there is a chapter in which the five mathematical articles published in his lifetime are reprinted. After that come the testamentary letter and the first memoir (in which Galois expounded on the ideas that led to Galois Theory), which are the most famous of the manuscripts. These are followed by the second memoir and other lesser known manuscripts. This book makes available to a wide mathematical and historical readership some of the most exciting mathematics of the first half of the nineteenth century, presented in its original form. The primary aim is to establish a text of what Galois wrote. The details of what he did, the proper evidence of his genius, deserve to be well understood and appreciated by mathematicians as well as historians of mathematics.
Author: Kathleen M. Clark Publisher: Springer ISBN: 3319739247 Category : Education Languages : en Pages : 389
Book Description
This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main points of the book with an outline of recent developments in exploring the role of history and epistemology in mathematics education. It serves as a valuable contribution in this domain, by making reports on recent developments in this field available to the international educational community, with a special focus on relevant research results since 2000. The 18 chapters of the book are divided into five interrelated parts that underlie the central issues of research in this domain: 1. Theoretical and conceptual frameworks for integrating history and epistemology in mathematics in mathematics education; 2. Courses and didactical material: Design, implementation and evaluation; 3. Empirical investigations on implementing history and epistemology in mathematics education; 4. Original historical sources in teaching and learning of and about mathematics; 5. History and epistemology of mathematics: Interdisciplinary teaching and sociocultural aspects. This book covers all levels of education, from primary school to tertiary education, with a particular focus on teacher education. Additionally, each chapter refers to and/or is based on empirical research, in order to support, illuminate, clarify and evaluate key issues, main questions, and conjectured theses raised by the authors or in the literature on the basis of historical-epistemological or didactical-cognitive arguments.
Author: Alessandra Lopez y Royo Publisher: Bloomsbury Publishing ISBN: 1350061328 Category : Design Languages : en Pages : 233
Book Description
Indonesian fashion has undergone a period of rapid growth over the last three decades. This book explores how through years of social, political, and cultural upheaval, the country's fashion has moved away from “colonial fashion” and “national dress” to claim its own distinct identity as contemporary fashion in a global world. With specific reference to women's wear, Contemporary Indonesian Fashion explores the diversity and complexity of the country's sartorial offerings, which weave together local textile traditions like batik and ikat-making with contemporary narratives. The book questions concepts of “tradition” and “modernity” in the developing world, taking stock of the elite consumption of luxury brands and the large-scale manufacturing of fast fashion, and introduces us to the rise of new trends such as busana muslim (or “modest wear”), creating a portrait of a vibrant and growing national and, increasingly, international, industry. Exploring clothing in shopping malls, on the catwalk, in magazines, and online, the book examines how Indonesian fashion is made, presented, and consumed, combining research in Indonesia with analysis and personal reflection. Contemporary Indonesian Fashion ultimately questions the deeply entrenched eurocentrism of "global fashion", simultaneously interrogating current homogenizing beauty and body image discourses posited as universal, by pointing to absences, silences, and erasures as reflected by contemporary Indonesian fashion- hence the "looking glass" of the title. Aptly illustrated, the book offers a new perspective on a rapidly developing new fashion capital, Jakarta.
Author: Jacqueline A. Stedall Publisher: European Mathematical Society ISBN: 9783037190920 Category : Mathematics Languages : en Pages : 244
Book Description
This book is an exploration of a claim made by Lagrange in the autumn of 1771 as he embarked upon his lengthy ``Reflexions sur la resolution algebrique des equations'': that there had been few advances in the algebraic solution of equations since the time of Cardano in the mid sixteenth century. That opinion has been shared by many later historians. The present study attempts to redress that view and to examine the intertwined developments in the theory of equations from Cardano to Lagrange. A similar historical exploration led Lagrange himself to insights that were to transform the entire nature and scope of algebra. Progress was not confined to any one country: at different times mathematicians in Italy, France, the Netherlands, England, Scotland, Russia, and Germany contributed to the discussion and to a gradual deepening of understanding. In particular, the national Academies of Berlin, St. Petersburg, and Paris in the eighteenth century were crucial in supporting informed mathematical communities and encouraging the wider dissemination of key ideas. This study therefore truly highlights the existence of a European mathematical heritage. The book is written in three parts. Part I offers an overview of the period from Cardano to Newton (1545 to 1707) and is arranged chronologically. Part II covers the period from Newton to Lagrange (1707 to 1771) and treats the material according to key themes. Part III is a brief account of the aftermath of the discoveries made in the 1770s. The book attempts throughout to capture the reality of mathematical discovery by inviting the reader to follow in the footsteps of the authors themselves, with as few changes as possible to the original notation and style of presentation.
Author: Nikolaĭ Ivanovich Lobachevskiĭ Publisher: European Mathematical Society ISBN: 9783037190876 Category : Mathematics Languages : en Pages : 332
Book Description
Lobachevsky wrote Pangeometry in 1855, the year before his death. This memoir is a resume of his work on non-Euclidean geometry and its applications and can be considered his clearest account on the subject. It is also the conclusion of his life's work and the last attempt he made to acquire recognition. The treatise contains basic ideas of hyperbolic geometry, including the trigonometric formulae, the techniques of computation of arc length, of area and of volume, with concrete examples. It also deals with the applications of hyperbolic geometry to the computation of new definite integrals. The techniques are different from those found in most modern books on hyperbolic geometry since they do not use models. Besides its historical importance, Lobachevsky's Pangeometry is a beautiful work, written in a simple and condensed style. The material that it contains is still very alive, and reading this book will be most useful for researchers and for students in geometry and in the history of science. It can be used as a textbook, as a sourcebook, and as a repository of inspiration. The present edition provides the first complete English translation of Pangeometry available in print. It contains facsimiles of both the Russian and the French original versions. The translation is accompanied by notes, followed by a biography of Lobachevky and an extensive commentary.
Author: Janet Beery Publisher: European Mathematical Society ISBN: 9783037190593 Category : History Languages : en Pages : 150
Book Description
Thomas Harriot (1560-1621) was a mathematician and astronomer who founded the English school of algebra. He is known not only for his work in algebra and geometry but also as a prolific writer with wide-ranging interests in ballistics, navigation, and optics. (He discovered the sine law of refraction now known as Snell's law.) By about 1614, Harriot had developed finite difference interpolation methods for navigational tables. In 1618 (or slightly later) he composed a treatise entitled `De numeris triangularibus et inde de progressionibus arithmeticis, Magisteria magna', in which he derived symbolic interpolation formulae and showed how to use them. This treatise was never published and is here reproduced for the first time. Commentary has been added to help the reader follow Harriot's beautiful but almost completely nonverbal presentation. The introductory essay preceding the treatise gives an overview of the contents of the `Magisteria' and describes its influence on Harriot's contemporaries and successors over the next sixty years. Harriot's method was not superseded until Newton, apparently independently, made a similar discovery in the 1660s. The ideas in the `Magisteria' were spread primarily through personal communication and unpublished manuscripts, and so, quite apart from their intrinsic mathematical interest, their survival in England during the seventeenth century provides an important case study in the dissemination of mathematics through informal networks of friends and acquaintances.
Author: Daniël Olmen Publisher: Walter de Gruyter GmbH & Co KG ISBN: 3110609878 Category : Language Arts & Disciplines Languages : en Pages : 255
Book Description
Linguistic variation is a topic of ongoing interest to the field. Its description and its explanations continue to intrigue scholars from many different backgrounds. By taking a deliberately broad perspective on the matter, covering not only crosslinguistic and diachronic but also intralinguistic and interspeaker variation and examining phenomena ranging from negation over connectives to definite articles in well- and lesser-known languages, the volume furthers our understanding of variation in general. The papers offer new insights into, among other things, the theoretical notion of comparative concepts, the social or mental nature of language structure, the areal factor in lexical typology and the diachronic implications of semantic maps. The collection will thus be of relevance to typologists and historical linguists, as well as to people studying variation within the areas of cognitive and functional linguistics.
Author: Évariste Galois
Author: Mansouri, Fethi
Author: Kathleen M. Clark
Author: 
Author: Alessandra Lopez y Royo
Author: Jacqueline A. Stedall
Author: Nikolaĭ Ivanovich Lobachevskiĭ
Author: Janet Beery
Author: Daniël Olmen
Author: Andrzej Schinzel