Download or read book The Implicit Function Theorem written by Steven G. Krantz and published by Springer Science & Business Media. This book was released on 2012-11-26 with total page 168 pages. Available in PDF, EPUB and Kindle. Book excerpt: The implicit function theorem is part of the bedrock of mathematical analysis and geometry. Finding its genesis in eighteenth century studies of real analytic functions and mechanics, the implicit and inverse function theorems have now blossomed into powerful tools in the theories of partial differential equations, differential geometry, and geometric analysis. There are many different forms of the implicit function theorem, including (i) the classical formulation for C^k functions, (ii) formulations in other function spaces, (iii) formulations for non- smooth functions, (iv) formulations for functions with degenerate Jacobian. Particularly powerful implicit function theorems, such as the Nash--Moser theorem, have been developed for specific applications (e.g., the imbedding of Riemannian manifolds). All of these topics, and many more, are treated in the present volume. The history of the implicit function theorem is a lively and complex story, and is intimately bound up with the development of fundamental ideas in analysis and geometry. This entire development, together with mathematical examples and proofs, is recounted for the first time here. It is an exciting tale, and it continues to evolve. "The Implicit Function Theorem" is an accessible and thorough treatment of implicit and inverse function theorems and their applications. It will be of interest to mathematicians, graduate/advanced undergraduate students, and to those who apply mathematics. The book unifies disparate ideas that have played an important role in modern mathematics. It serves to document and place in context a substantial body of mathematical ideas.
Download or read book Uncle Petros and Goldbach s Conjecture written by Apostolos Doxiadis and published by Faber & Faber. This book was released on 2012-11-15 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uncle Petros is a family joke. An ageing recluse, he lives alone in a suburb of Athens, playing chess and tending to his garden. If you didn't know better, you'd surely think he was one of life's failures. But his young nephew suspects otherwise. For Uncle Petros, he discovers, was once a celebrated mathematician, brilliant and foolhardy enough to stake everything on solving a problem that had defied all attempts at proof for nearly three centuries - Goldbach's Conjecture. His quest brings him into contact with some of the century's greatest mathematicians, including the Indian prodigy Ramanujan and the young Alan Turing. But his struggle is lonely and single-minded, and by the end it has apparently destroyed his life. Until that is a final encounter with his nephew opens up to Petros, once more, the deep mysterious beauty of mathematics. Uncle Petros and Goldbach's Conjecture is an inspiring novel of intellectual adventure, proud genius, the exhilaration of pure mathematics - and the rivalry and antagonism which torment those who pursue impossible goals.
Download or read book The Distribution of Prime Numbers written by Albert Edward Ingham and published by Cambridge University Press. This book was released on 1990-09-28 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published in 1934, this volume presents the theory of the distribution of the prime numbers in the series of natural numbers. Despite being long out of print, it remains unsurpassed as an introduction to the field.
Download or read book The Renewal of Pagan Antiquity written by Aby Warburg and published by Getty Publications. This book was released on 1999 with total page 872 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of essays by the art historian Aby Warburg, these essays look beyond iconography to more psychological aspects of artistic creation: the conditions under which art was practised; its social and cultural contexts; and its conceivable historical meaning.
Download or read book De Sphaera of Johannes de Sacrobosco in the Early Modern Period written by Matteo Valleriani and published by Springer Nature. This book was released on 2020-01-01 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: This open access book explores commentaries on an influential text of pre-Copernican astronomy in Europe. It features essays that take a close look at key intellectuals and how they engaged with the main ideas of this qualitative introduction to geocentric cosmology. Johannes de Sacrobosco compiled his Tractatus de sphaera during the thirteenth century in the frame of his teaching activities at the then recently founded University of Paris. It soon became a mandatory text all over Europe. As a result, a tradition of commentaries to the text was soon established and flourished until the second half of the 17th century. Here, readers will find an informative overview of these commentaries complete with a rich context. The essays explore the educational and social backgrounds of the writers. They also detail how their careers developed after the publication of their commentaries, the institutions and patrons they were affiliated with, what their agenda was, and whether and how they actually accomplished it. The editor of this collection considers these scientific commentaries as genuine scientific works. The contributors investigate them here not only in reference to the work on which it comments but also, and especially, as independent scientific contributions that are socially, institutionally, and intellectually contextualized around their authors.
Download or read book Racial Theories in Fascist Italy written by Aaron Gillette and published by Routledge. This book was released on 2003-08-29 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: Racial Theories in Fascist Italy examines the role played by race and racism in the development of Italian identity during the fascist period. The book examines the struggle between Mussolini, the fascist hierarchy, scientists and others in formulating a racial persona that would gain wide acceptance in Italy. This book will be of interest to historians, political scientists concerned with the development of fascism and scholars of race and racism.
Download or read book The Fabrication of Leonardo da Vinci s Trattato della pittura 2 vols written by Claire Farago and published by BRILL. This book was released on 2018-01-29 with total page 1371 pages. Available in PDF, EPUB and Kindle. Book excerpt: The basis for our understanding of Leonardo’s theory of art was, for over 150 years, his Treatise on Painting, which was issued in 1651 in Italian and French. This present volume offers both the first scholarly edition of the Italian editio princeps as well as the first complete English translation of this seminal work. In addition, It provides a comprehensive study of the Italian first edition, documenting how each editorial campaign that lead to it produced a different understanding of the artist’s theory. What emerges is a rich cultural and textual history that foregrounds the transmission of artisanal knowledge from Leonardo’s workshop in the Duchy of Milan to Carlo Borromeo’s Milan, Cosimo I de’ Medici’s Florence, Urban VIII’s Rome, and Louis XIV’s Paris.
Download or read book Natural Operations in Differential Geometry written by Ivan Kolar and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this work is threefold: First it should be a monographical work on natural bundles and natural op erators in differential geometry. This is a field which every differential geometer has met several times, but which is not treated in detail in one place. Let us explain a little, what we mean by naturality. Exterior derivative commutes with the pullback of differential forms. In the background of this statement are the following general concepts. The vector bundle A kT* M is in fact the value of a functor, which associates a bundle over M to each manifold M and a vector bundle homomorphism over f to each local diffeomorphism f between manifolds of the same dimension. This is a simple example of the concept of a natural bundle. The fact that exterior derivative d transforms sections of A kT* M into sections of A k+1T* M for every manifold M can be expressed by saying that d is an operator from A kT* M into A k+1T* M.
Download or read book Die Ausdchnungslehre Von 1844 Oder Die Lineale Ausdehnungslehre Ein Neuer Zweig Der Mathematik Da written by Hermann Grassmann and published by Legare Street Press. This book was released on 2022-10-27 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Download or read book Observations on the Letter of Monsieur Mariette written by Giovanni Battista Piranesi and published by Getty Publications. This book was released on 2002 with total page 192 pages. Available in PDF, EPUB and Kindle. Book excerpt: An impassioned plea for a Roman-Style eclecticism that draws freely on all artistic forms and traditions, Piranesi's Observations anticipates the contemporary debate between devotees of a rational, minimal architecture and advocates of an architecture rich in ornament and historical references."--BOOK JACKET.
Download or read book In Defiance of Painting written by Christine Poggi and published by Yale University Press. This book was released on 1992-01-01 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The invention of collage by Picasso and Braque in 1912 proved to be a dramatic turning point in the development of Cubism and Futurism and ultimately one of the most significant innovations in twentieth-century art. Collage has traditionally been viewed as a new expression of modernism, one allied with modernism's search for purity of means, anti-illusionism, unity, and autonomy of form. This book - the first comprehensive study of collage and its relation to modernism - challenges this view. Christine Poggi argues that collage did not become a new language of modernism but a new language with which to critique modernism. She focuses on the ways Cubist collage - and the Futurist multimedia work that was inspired by it - undermined prevailing notions of material and stylistic unity, subverted the role of the frame and pictorial ground, and brought the languages of high and low culture into a new relationship of exchange.
Download or read book Plato and the Stoics written by Alex Long and published by Cambridge University Press. This book was released on 2013-09-26 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seven essays provide new and detailed explorations of the complex relationship between Plato and the Greek and Roman Stoic traditions.
Download or read book Empire of Eloquence written by Stuart M. McManus and published by Cambridge University Press. This book was released on 2021-04-08 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: An exploration of the culture of public speaking in the Iberian world, which places the classical rhetorical tradition within the context of Iberian global expansion in Europe, the Americas, Asia and Africa between the sixteenth and eighteenth centuries.
Download or read book Seneca the Elder and His Rediscovered Historiae ab initio bellorum civilium written by Maria Chiara Scappaticcio and published by Walter de Gruyter GmbH & Co KG. This book was released on 2020-06-08 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: The refreshed insights into early-imperial Roman historiography this book offers are linked to a recent discovery. In the spring of 2014, the binders of the archive of Robert Marichal were dusted off by the ERC funded project PLATINUM (ERC-StG 2014 n°636983) in response to Tiziano Dorandi’s recollections of a series of unpublished notes on Latin texts on papyrus. Among these was an in-progress edition of the Latin rolls from Herculaneum, together with Marichal’s intuition that one of them had to be ascribed to a certain ‘Annaeus Seneca’. PLATINUM followed the unpublished intuition by Robert Marichal as one path of investigation in its own research and work. Working on the Latin P.Herc. 1067 led to confirm Marichal’s intuitions and to go beyond it: P.Herc. 1067 is the only extant direct witness to Seneca the Elder’s Historiae. Bringing a new and important chapter of Latin literature arise out of a charred papyrus is significant. The present volume is made up of two complementary sections, each of which contains seven contributions. They are in close dialogue with each other, as looking at the same literary matter from several points of view yields undeniable advantages and represents an innovative and fruitful step in Latin literary criticism. These two sections express the two different but interlinked axes along which the contributions were developed. On one side, the focus is on the starting point of the debate, namely the discovery of the papyrus roll transmitting the Historiae of Seneca the Elder and how such a discovery can be integrated with prior knowledge about this historiographical work. On the other side, there is a broader view on early-imperial Roman historiography, to which the new perspectives opened by the rediscovery of Seneca the Elder’s Historiae greatly contribute.
Download or read book International Catalogue of Scientific Literature 1901 14 written by and published by . This book was released on 1902 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Geometric Asymptotics written by Victor Guillemin and published by American Mathematical Soc.. This book was released on 1990 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symplectic geometry and the theory of Fourier integral operators are modern manifestations of themes that have occupied a central position in mathematical thought for the past three hundred years--the relations between the wave and the corpuscular theories of light. The purpose of this book is to develop these themes, and present some of the recent advances, using the language of differential geometry as a unifying influence.
Download or read book Giuseppe Peano between Mathematics and Logic written by Fulvia Skof and published by Springer Science & Business Media. This book was released on 2011-04-30 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains the papers developing out the presentations given at the International Conference organized by the Torino Academy of Sciences and the Department of Mathematics Giuseppe Peano of the Torino University to celebrate the 150th anniversary of G. Peano's birth - one of the greatest figures in modern mathematics and logic and the most important mathematical logician in Italy - a century after the publication of Formulario Mathematico, a great attempt to systematise Mathematics in symbolic form.
