1.

Record Nr.

UNINA9910484572903321

Autore

Sonar Th (Thomas)

Titolo

3000 years of analysis : mathematics in history and culture / / Thomas Sonar; Patricia Morton; Keith William Morton

Pubbl/distr/stampa

Cham, Switzerland : , : Birkhäuser, , [2021]

©2021

ISBN

3-030-58223-X

Edizione

[1st ed. 2021.]

Descrizione fisica

1 online resource (XX, 706 p. 396 illus., 267 illus. in color.)

Disciplina

515.09

Soggetti

Mathematical analysis - History

Mathematical analysis

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Prologue: 3000 Years of Analysis -- The Continuum in Greek-Hellenistic Antiquity -- How Knowledge Migrates – From Orientto Occident -- Continuum and Atomismin Scholasticism -- Indivisibles and Infinitesimals in the Renaissance -- At the Turn from the 16th to the 17thCentury -- Newton and Leibniz-Giants and Opponents -- Absolutism ,Enlightenment, Departure to New Shores -- On the Way to Conceptual Rigourin the 19th Century -- At theTurn to the 20th Century: Set Theory and the Search for the True Continuum -- Coming to full circle: Infinitesimals in Nonstandard Analysis.

Sommario/riassunto

What exactly is analysis? What are infinitely small or infinitely large quantities? What are indivisibles and infinitesimals? What are real numbers, continuity, the continuum, differentials, and integrals? You’ll find the answers to these and other questions in this unique book! It explains in detail the origins and evolution of this important branch of mathematics, which Euler dubbed the “analysis of the infinite.” A wealth of diagrams, tables, color images and figures serve to illustrate the fascinating history of analysis from Antiquity to the present. Further, the content is presented in connection with the historical and cultural events of the respective epochs, the lives of the scholars seeking knowledge, and insights into the subfields of analysis they created and shaped, as well as the applications in virtually every aspect of modern



life that were made possible by analysis. From the reviews of the German edition: Three wishes granted at once: the book “3000 Jahre Analysis” is anything but a dry mixture of mathematical facts and formulae. Instead, it is a skillful blend of textbook, nonfiction, and history book rolled into one, which has been very vibrantly written. The author Thomas Sonar has managed to present the history of Analysis vividly, thrillingly, and full of intriguing details. Florian Modler, Spektrum der Wissenschaft The book [...] is simply wonderful. Everybody [...] picks up this book with a certain expectation, of course, and they won’t be disappointed! ... It is truly fun browsing the book. Peter Littelmann, Mitteilungen der DMV.

2.

Record Nr.

UNINA9910495941903321

Autore

Bonnefis Philippe

Titolo

Comme Maupassant / / Philippe Bonnefis

Pubbl/distr/stampa

Villeneuve d'Ascq, : Presses universitaires du Septentrion, 2020

ISBN

2-7574-2622-2

Descrizione fisica

1 online resource (154 p.)

Collana

Objet

Disciplina

843/.8

Soggetti

Literature (General)

littérature

Lingua di pubblicazione

Francese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Sommario/riassunto

On part ici d’une hypothèse : le nom et la personne de Maupassant ne coïncident pas, séparés l’un de l’autre par la distance incommensurable d’un comme. La coupe du comme discontinue le sujet, l’écarte de sa marque, mais sans quelle cesse d’être la sienne... Hypothèse que l’on vérifie ensuite par l’examen des répercussions de cette imperceptible déchirure dont les effets se font sentir partout dans l’œuvre. Des effets qui intéressent l’histoire d’une écriture, la marche d’un texte, l’organisation singulière de ses figures et de ses thèmes (le miroir, la ressemblance, la transparence), - mais qui, par-delà les limites



concrètes de ce texte, affectent jusqu’aux réponses à des questions aussi apparemment étrangères au projet romanesque, et touchant d’aussi près le discours de la philosophie, que celles de l’origine, de la représentation et de l’identité.