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Nuovo Calcolo Senza Limiti E Sette Studi Da Zenone A Cantor
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Book Synopsis NUOVO CALCOLO SENZA LIMITI e SETTE STUDI DA ZENONE A CANTOR by : Giuseppe FURNARI
Download or read book NUOVO CALCOLO SENZA LIMITI e SETTE STUDI DA ZENONE A CANTOR written by Giuseppe FURNARI and published by Lulu.com. This book was released on 2013-04-29 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: I Greci dell'età classica, con Euclide ed Archimede, hanno concepito idee molto prossime a quelle che hanno permesso l'invenzione del Calcolo Infinitesimale ed Integrale. L'autore pensa che proprio Euclide ha sfiorato il concetto di infinitesimo, con il suo teorema relativo all'angolo "a corno". Fu poi nel 1600 che Leibniz e Newton crearono il Calcolo Infinitesimale e quello Integrale. Ma gli infinitesimi hanno sempre suscitato critiche per le loro contraddizioni logiche, fin da subito stigmatizzate dal vescovo Berkeley. Con il metodo del doppio limite di Weierstrass il problema sembra superato. Poi nel 1966 Robinson, utilizzando sofisticate tecniche di teoria dei modelli, sembra superare l'impasse dal punto di vista logico, ricorrendo però all'Analisi Non-Standard, nell'ambito dei campi non archimedei. Con questo lavoro l'autore supera la persistente problematica degli infinitesimi, adottando una metodologia molto classica e, soprattutto, di facile comprensione.
Book Synopsis DA ZENONE A CANTOR: Sette Studi tra Infinito e Iperbolico by : Giuseppe FURNARI
Download or read book DA ZENONE A CANTOR: Sette Studi tra Infinito e Iperbolico written by Giuseppe FURNARI and published by Lulu.com. This book was released on 2013-01-31 with total page 217 pages. Available in PDF, EPUB and Kindle. Book excerpt: Con "Nuovo Calcolo Senza Limiti" ho presentato un nuovo metodo per evitare alla radice il problema degli infinitesimi nel Calcolo Infinitesimale. Alla fine le Funzioni Mostruose di Weierstrass che, con i problemi del Continuo e la nascita delle Geometrie non Euclidee provocarono la nota "Crisi delle Fondamenta" di fine Ottocento. Nei successivi "Tre Articoli per un Mistero" e "L'insostenibile Leggerezza delle Assiomatiche" propongo una dimostrazione del Quinto Postulato di Euclide e la sua equivalenza con il Teorema dell'attraversamento e l'Assioma di Pasch. Occorreva quindi approfondire i legami con le Geometrie non Euclidee. È nata una serie di studi, che qui presento, sugli affascinanti e fondamentali temi del continuo e dell'infinito, che vanno appunto "da Zenone a Cantor". La confutazione dei Paradossi di Zenone, un'analisi critica delle origini delle Geometrie non Euclidee e studi sul metodo diagonale di Cantor, sui paradossi di Vitali e di Banach-Tarski.
Book Synopsis Nuovo calcolo senza limiti-Da Zenone a Cantor by : Giuseppe Furnari
Download or read book Nuovo calcolo senza limiti-Da Zenone a Cantor written by Giuseppe Furnari and published by . This book was released on 2021 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Chemical Heritage Foundation Publisher :Chemical Heritage Foundation ISBN 13 :9780941901383 Total Pages :76 pages Book Rating :4.9/5 (13 download)
Book Synopsis Joseph Priestley, Radical Thinker by : Chemical Heritage Foundation
Download or read book Joseph Priestley, Radical Thinker written by Chemical Heritage Foundation and published by Chemical Heritage Foundation. This book was released on 2005 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: Joseph Priestly, Radical Thinker offers a unique look into the achievements of this scientific giant, whose work helped provide the foundation for chemistry research. The book is the catalog that accompanies an exhibit of historical images and artifacts that commemorated the 200th anniversary of the death of Priestly and includes essays by historian Robert Anderson and Marjorie Gapp, curator of art and images at Chemical Heritage Foundation. Gapp and Mary Ellen Bowden, with Lisa Rosner, also examine the historical significance of the many objects and artifacts found in this fascinating collection.
Book Synopsis The Correspondence of Charles Darwin: Volume 7, 1858-1859 by : Charles Darwin
Download or read book The Correspondence of Charles Darwin: Volume 7, 1858-1859 written by Charles Darwin and published by Cambridge University Press. This book was released on 1985 with total page 726 pages. Available in PDF, EPUB and Kindle. Book excerpt: The letters in this volume cover two of the most momentous years in Darwin's life. Begun in 1856 and the fruit of twenty years of study and reflection, Darwin's manuscript on the species question was a little more than half finished, and at least two years from publication, when in June 1858 Darwin unexpectedly received a letter and a manuscript from Alfred Russel Wallace indicating that he too had independently formulated a theory of natural selection. The letters detail the various stages in the preparation of what was to become one of the world's most famous works: Darwin's On the Origin of Species by Means of Natural Selection, published by John Murray in November 1859. They reveal the first impressions of Darwin's book given by his most trusted confidants, and they relate Darwin's anxious response to the early reception of his theory by friends, family members, and prominent naturalists. This volume provides the capstone to Darwin's remarkable efforts for more than two decades to solve one of nature's greatest riddles - the origin of species.
Book Synopsis The Correspondence of Charles Darwin: Volume 6, 1856-1857 by : Charles Darwin
Download or read book The Correspondence of Charles Darwin: Volume 6, 1856-1857 written by Charles Darwin and published by Cambridge University Press. This book was released on 1985 with total page 728 pages. Available in PDF, EPUB and Kindle. Book excerpt: "For the first time full authoritative texts of Darwin's are made available, edited according to modern textual editorial principles and practice. Letter-writing was of crucial importance to Darwin's work, not only because his poor health isolated him from direct personal communication with his scientific colleagues but also because the nature of his investigations required communication with naturalists in many fields and in all quarters of the globe. Thus the letters are a mine of information about the work in progress of a creative genius who produced an intellectual revolution." --
Book Synopsis Cleomedes' Lectures on Astronomy by : Cleomedes
Download or read book Cleomedes' Lectures on Astronomy written by Cleomedes and published by Univ of California Press. This book was released on 2004-01-19 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: At some time around 200 A.D., the Stoic philosopher and teacher Cleomedes delivered a set of lectures on elementary astronomy as part of a complete introduction to Stoicism for his students. The result was The Heavens (Caelestia), the only work by a professional Stoic teacher to survive intact from the first two centuries A.D., and a rare example of the interaction between science and philosophy in late antiquity. This volume contains a clear and idiomatic English translation—the first ever—of The Heavens, along with an informative introduction, detailed notes, and technical diagrams. This important work will now be accessible to specialists in both ancient philosophy and science and to readers interested in the history of astronomy and cosmology but with no knowledge of ancient Greek.
Book Synopsis Classics in the History of Greek Mathematics by : Jean Christianidis
Download or read book Classics in the History of Greek Mathematics written by Jean Christianidis and published by Springer Science & Business Media. This book was released on 2013-04-18 with total page 464 pages. Available in PDF, EPUB and Kindle. Book excerpt: The twentieth century is the period during which the history of Greek mathematics reached its greatest acme. Indeed, it is by no means exaggerated to say that Greek mathematics represents the unique field from the wider domain of the general history of science which was included in the research agenda of so many and so distinguished scholars, from so varied scientific communities (historians of science, historians of philosophy, mathematicians, philologists, philosophers of science, archeologists etc. ), while new scholarship of the highest quality continues to be produced. This volume includes 19 classic papers on the history of Greek mathematics that were published during the entire 20th century and affected significantly the state of the art of this field. It is divided into six self-contained sections, each one with its own editor, who had the responsibility for the selection of the papers that are republished in the section, and who wrote the introduction of the section. It constitutes a kind of a Reader book which is today, one century after the first publications of Tannery, Zeuthen, Heath and the other outstanding figures of the end of the 19th and the beg- ning of 20th century, rather timely in many respects.
Book Synopsis The Elder Pliny on the Human Animal by :
Download or read book The Elder Pliny on the Human Animal written by and published by OUP Oxford. This book was released on 2005-03-17 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: As a detailed study of the human animal, described by its author as the raison d'etre of nature, Book Seven of the elder Pliny's Natural History is crucial to the understanding of the work as a whole. In addition, however, it provides a valuable insight into the extraordinary complex of ideas and beliefs current in Pliny's era, many of which have resonances for other eras and cultures. The present study includes a substantial introduction examining the background to Pliny's life, thought, and writing, together with a modern English translation, and a detailed commentary which emphasizes the importance of Book Seven as possibly the most fascinating cultural record surviving from early imperial Rome.
Book Synopsis The Best of All Possible Worlds by : Ivar Ekeland
Download or read book The Best of All Possible Worlds written by Ivar Ekeland and published by University of Chicago Press. This book was released on 2007-10-31 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: Optimists believe this is the best of all possible worlds, and pessimists fear that might really be the case. There was a time, during the 17th and 18th centuries, when scientists and mathematicians felt they could provide the answer. This book is their story.
Book Synopsis The Contest for Knowledge by : Maria Gaetana Agnesi
Download or read book The Contest for Knowledge written by Maria Gaetana Agnesi and published by University of Chicago Press. This book was released on 2007-11-01 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt: At a time when women were generally excluded from scholarly discourse in the intellectual centers of Europe, four extraordinary female letterate proved their parity as they lectured in prominent scientific and literary academies and published in respected journals. During the Italian Enlightenment, Maria Gaetana Agnesi, Giuseppa Eleonora Barbapiccola, Diamante Medaglia Faini, and Aretafila Savini de' Rossi were afforded unprecedented deference in academic debates and epitomized the increasing ability of women to influence public discourse. The Contest for Knowledge reveals how these four women used the methods and themes of their male counterparts to add their voices to the vigorous and prolific debate over the education of women during the eighteenth century. In the texts gathered here, the women discuss the issues they themselves thought most urgent for the equality of women in Italian society specifically and in European culture more broadly. Their thoughts on this important subject reveal how crucial the eighteenth century was in the long history of debates about women in the academy.
Book Synopsis Greek Science of the Hellenistic Era by : Georgia L. Irby-Massie
Download or read book Greek Science of the Hellenistic Era written by Georgia L. Irby-Massie and published by Routledge. This book was released on 2013-02-01 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: We all want to understand the world around us, and the ancient Greeks were the first to try and do so in a way we can properly call scientific. Their thought and writings laid the essential foundations for the revivals of science in medieval Baghdad and renaissance Europe. Now their work is accessible to all, with this invaluable introduction to c.100 scientific authors active from 320 BCE to 230 CE. The book begins with an outline of a new socio-political model for the development and decline of Greek science, followed by eleven chapters that cover the main disciplines: * the science which the Greeks saw as fundamental - mathematics * astronomy * astrology and geography * mechanics * optics and pneumatics * the non-mathematical sciences of alchemy, biology, medicine and 'psychology'. Each chapter contains an accessible introduction on the origins and development of the topic in question, and all the authors are set in context with brief biographies.
Book Synopsis The Wild Girl, Natural Man, and the Monster by : Julia V. Douthwaite
Download or read book The Wild Girl, Natural Man, and the Monster written by Julia V. Douthwaite and published by University of Chicago Press. This book was released on 2010-11-15 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study looks at the lives of the most famous "wild children" of eighteenth-century Europe, showing how they open a window onto European ideas about the potential and perfectibility of mankind. Julia V. Douthwaite recounts reports of feral children such as the wild girl of Champagne (captured in 1731 and baptized as Marie-Angélique Leblanc), offering a fascinating glimpse into beliefs about the difference between man and beast and the means once used to civilize the uncivilized. A variety of educational experiments failed to tame these feral children by the standards of the day. After telling their stories, Douthwaite turns to literature that reflects on similar experiments to perfect human subjects. Her examples range from utopian schemes for progressive childrearing to philosophical tales of animated statues, from revolutionary theories of regenerated men to Gothic tales of scientists run amok. Encompassing thinkers such as Rousseau, Sade, Defoe, and Mary Shelley, Douthwaite shows how the Enlightenment conceived of mankind as an infinitely malleable entity, first with optimism, then with apprehension. Exposing the darker side of eighteenth-century thought, she demonstrates how advances in science gave rise to troubling ethical concerns, as parents, scientists, and politicians tried to perfect mankind with disastrous results.
Book Synopsis Science, Culture, and Politics in Britain, 1750-1870 by : Jack Morrell
Download or read book Science, Culture, and Politics in Britain, 1750-1870 written by Jack Morrell and published by Routledge. This book was released on 1997 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: From the late 1960s, Jack Morrell's articles have stimulated a reorientation of the historiography of science. He showed by example, in the studies now gathered here, how the social, political, economic, and institutional aspects of science could be integrated with its content. In his writings he assumed that science was a socially organised attempt to set and solve problems concerning the natural world, and that historians should take cognisance of everything which affected that activity - without down-grading published knowledge, its end-product. Specific topics in this volume include the institutions of British science, especially universities, laboratories, and research schools, the careers of the scientists, and the impact of science in the north of England and, especially, in Scotland.
Book Synopsis Medicine and Magic in Elizabethan London by : Lauren Kassell
Download or read book Medicine and Magic in Elizabethan London written by Lauren Kassell and published by OUP Oxford. This book was released on 2007-02-01 with total page 300 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simon Forman (1552-1611) is one of London's most infamous astrologers. He stood apart from the medical elite because he was not formally educated and because he represented, and boldly asserted, medical ideas that were antithetical to those held by most learned physicians. He survived the plague, was consulted thousands of times a year for medical and other questions, distilled strong waters made from beer, herbs, and sometimes chemical ingredients, pursued the philosopher's stone in experiments and ancient texts, and when he was fortunate spoke with angels. He wrote compulsively, documenting his life and protesting his expertise in thousands of pages of notes and treatises. This highly readable book provides the first full account of Forman's papers, makes sense of his notorious reputation, and vividly recovers the world of medicine and magic in Elizabethan London.
Book Synopsis Probability, Dynamics and Causality by : D. Costantini
Download or read book Probability, Dynamics and Causality written by D. Costantini and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is a collection of essays on various issues in philosophy of science, with special emphasis on the foundations of probability and statistics, and quantum mechanics. The main topics, addressed by some of the most outstanding researchers in the field, are subjective probability, Bayesian statistics, probability kinematics, causal decision making, probability and realism in quantum mechanics.
Book Synopsis The Emergence of a Scientific Culture by : Stephen Gaukroger
Download or read book The Emergence of a Scientific Culture written by Stephen Gaukroger and published by Clarendon Press. This book was released on 2008-10-23 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Why did science emerge in the West and how did scientific values come to be regarded as the yardstick for all other forms of knowledge? Stephen Gaukroger shows just how bitterly the cognitive and cultural standing of science was contested in its early development. Rejecting the traditional picture of secularization, he argues that science in the seventeenth century emerged not in opposition to religion but rather was in many respects driven by it. Moreover, science did not present a unified picture of nature but was an unstable field of different, often locally successful but just as often incompatible, programmes. To complicate matters, much depended on attempts to reshape the persona of the natural philosopher, and distinctive new notions of objectivity and impartiality were imported into natural philosophy, changing its character radically by redefining the qualities of its practitioners. The West's sense of itself, its relation to its past, and its sense of its future, have been profoundly altered since the seventeenth century, as cognitive values generally have gradually come to be shaped around scientific ones. Science has not merely brought a new set of such values to the task of understanding the world and our place in it, but rather has completely transformed the task, redefining the goals of enquiry. This distinctive feature of the development of a scientific culture in the West marks it out from other scientifically productive cultures. In The Emergence of a Scientific Culture, Stephen Gaukroger offers a detailed and comprehensive account of the formative stages of this development—-and one which challenges the received wisdom that science was seen to be self-evidently the correct path to knowledge and that the benefits of science were immediately obvious to the disinterested observer.
