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Author: Giuseppe FURNARI
Publisher: Lulu.com
ISBN: 1291402578
Category : Science
Languages : it
Pages : 318
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Book Description
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.
Author: Giuseppe FURNARI
Publisher: Lulu.com
ISBN: 1291402578
Category : Science
Languages : it
Pages : 318
Get Book Here
Book Description
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.
Author: Giuseppe FURNARI
Publisher: Lulu.com
ISBN: 1291309632
Category : Science
Languages : it
Pages : 217
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Book Description
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.
Author: Giuseppe Furnari
Publisher:
ISBN: 9788892381414
Category : Mathematics
Languages : it
Pages : 320
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Book Description
Author: Chemical Heritage Foundation
Publisher: Chemical Heritage Foundation
ISBN: 9780941901383
Category : Biography & Autobiography
Languages : en
Pages : 76
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Book Description
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.
Author: Charles Darwin
Publisher: Cambridge University Press
ISBN: 9780521385640
Category : Biography & Autobiography
Languages : en
Pages : 726
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Book Description
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.
Author: Charles Darwin
Publisher: Cambridge University Press
ISBN: 9780521255868
Category : Biography & Autobiography
Languages : en
Pages : 728
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Book Description
"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." --
Author: Cleomedes
Publisher: Univ of California Press
ISBN: 0520928512
Category : History
Languages : en
Pages : 258
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Book Description
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.
Author: Jean Christianidis
Publisher: Springer Science & Business Media
ISBN: 1402026404
Category : Mathematics
Languages : en
Pages : 464
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Book Description
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.
Author:
Publisher: OUP Oxford
ISBN: 0191518352
Category : Literary Criticism
Languages : en
Pages : 536
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Book Description
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.
Author: Ivar Ekeland
Publisher: University of Chicago Press
ISBN: 0226199959
Category : Mathematics
Languages : en
Pages : 214
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Book Description
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.
