Infinitesimal

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Infinitesimal

Author : Amir Alexander
Publisher : Simon and Schuster
ISBN 13 : 1780745338
Total Pages : 368 pages
Book Rating : 4.7/5 (87 download)

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Book Synopsis Infinitesimal by : Amir Alexander

Download or read book Infinitesimal written by Amir Alexander and published by Simon and Schuster. This book was released on 2014-07-03 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: On August 10, 1632, five leading Jesuits convened in a sombre Roman palazzo to pass judgment on a simple idea: that a continuous line is composed of distinct and limitlessly tiny parts. The doctrine would become the foundation of calculus, but on that fateful day the judges ruled that it was forbidden. With the stroke of a pen they set off a war for the soul of the modern world. Amir Alexander takes us from the bloody religious strife of the sixteenth century to the battlefields of the English civil war and the fierce confrontations between leading thinkers like Galileo and Hobbes. The legitimacy of popes and kings, as well as our modern beliefs in human liberty and progressive science, hung in the balance; the answer hinged on the infinitesimal. Pulsing with drama and excitement, Infinitesimal will forever change the way you look at a simple line.

Infinitesimal Calculus

Author : James M. Henle
Publisher : Courier Corporation
ISBN 13 : 0486151018
Total Pages : 144 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Infinitesimal Calculus by : James M. Henle

Download or read book Infinitesimal Calculus written by James M. Henle and published by Courier Corporation. This book was released on 2014-01-15 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introducing calculus at the basic level, this text covers hyperreal numbers and hyperreal line, continuous functions, integral and differential calculus, fundamental theorem, infinite sequences and series, infinite polynomials, more. 1979 edition.

A Primer of Infinitesimal Analysis

Author : John L. Bell
Publisher : Cambridge University Press
ISBN 13 : 0521887186
Total Pages : 7 pages
Book Rating : 4.5/5 (218 download)

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Book Synopsis A Primer of Infinitesimal Analysis by : John L. Bell

Download or read book A Primer of Infinitesimal Analysis written by John L. Bell and published by Cambridge University Press. This book was released on 2008-04-07 with total page 7 pages. Available in PDF, EPUB and Kindle. Book excerpt: A rigorous, axiomatically formulated presentation of the 'zero-square', or 'nilpotent' infinitesimal.

The Origins of Infinitesimal Calculus

Author : Margaret E. Baron
Publisher : Elsevier
ISBN 13 : 1483280926
Total Pages : 312 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis The Origins of Infinitesimal Calculus by : Margaret E. Baron

Download or read book The Origins of Infinitesimal Calculus written by Margaret E. Baron and published by Elsevier. This book was released on 2014-05-09 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Origins of Infinitesimal Calculus focuses on the evolution, development, and applications of infinitesimal calculus. The publication first ponders on Greek mathematics, transition to Western Europe, and some center of gravity determinations in the later 16th century. Discussions focus on the growth of kinematics in the West, latitude of forms, influence of Aristotle, axiomatization of Greek mathematics, theory of proportion and means, method of exhaustion, discovery method of Archimedes, and curves, normals, tangents, and curvature. The manuscript then examines infinitesimals and indivisibles in the early 17th century and further advances in France and Italy. Topics include the link between differential and integral processes, concept of tangent, first investigations of the cycloid, and arithmetization of integration methods. The book reviews the infinitesimal methods in England and Low Countries and rectification of arcs. The publication is a vital source of information for historians, mathematicians, and researchers interested in infinitesimal calculus.

A Treatise on Infinitesimal Calculus

Author : Bartholomew Price
Publisher :
ISBN 13 :
Total Pages : 582 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis A Treatise on Infinitesimal Calculus by : Bartholomew Price

Download or read book A Treatise on Infinitesimal Calculus written by Bartholomew Price and published by . This book was released on 1852 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Models for Smooth Infinitesimal Analysis

Author : Ieke Moerdijk
Publisher : Springer Science & Business Media
ISBN 13 : 147574143X
Total Pages : 401 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Models for Smooth Infinitesimal Analysis by : Ieke Moerdijk

Download or read book Models for Smooth Infinitesimal Analysis written by Ieke Moerdijk and published by Springer Science & Business Media. This book was released on 2013-03-14 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to construct categories of spaces which contain all the C?-manifolds, but in addition infinitesimal spaces and arbitrary function spaces. To this end, the techniques of Grothendieck toposes (and the logic inherent to them) are explained at a leisurely pace and applied. By discussing topics such as integration, cohomology and vector bundles in the new context, the adequacy of these new spaces for analysis and geometry will be illustrated and the connection to the classical approach to C?-manifolds will be explained.

The Continuous and the Infinitesimal in Mathematics and Philosophy

Author : John Lane Bell
Publisher : Polimetrica s.a.s.
ISBN 13 : 8876990151
Total Pages : 354 pages
Book Rating : 4.8/5 (769 download)

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Book Synopsis The Continuous and the Infinitesimal in Mathematics and Philosophy by : John Lane Bell

Download or read book The Continuous and the Infinitesimal in Mathematics and Philosophy written by John Lane Bell and published by Polimetrica s.a.s.. This book was released on 2005 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Continuous, the Discrete and the Infinitesimal in Philosophy and Mathematics

Author : John L. Bell
Publisher : Springer Nature
ISBN 13 : 3030187071
Total Pages : 313 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis The Continuous, the Discrete and the Infinitesimal in Philosophy and Mathematics by : John L. Bell

Download or read book The Continuous, the Discrete and the Infinitesimal in Philosophy and Mathematics written by John L. Bell and published by Springer Nature. This book was released on 2019-09-09 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores and articulates the concepts of the continuous and the infinitesimal from two points of view: the philosophical and the mathematical. The first section covers the history of these ideas in philosophy. Chapter one, entitled ‘The continuous and the discrete in Ancient Greece, the Orient and the European Middle Ages,’ reviews the work of Plato, Aristotle, Epicurus, and other Ancient Greeks; the elements of early Chinese, Indian and Islamic thought; and early Europeans including Henry of Harclay, Nicholas of Autrecourt, Duns Scotus, William of Ockham, Thomas Bradwardine and Nicolas Oreme. The second chapter of the book covers European thinkers of the sixteenth and seventeenth centuries: Galileo, Newton, Leibniz, Descartes, Arnauld, Fermat, and more. Chapter three, 'The age of continuity,’ discusses eighteenth century mathematicians including Euler and Carnot, and philosophers, among them Hume, Kant and Hegel. Examining the nineteenth and early twentieth centuries, the fourth chapter describes the reduction of the continuous to the discrete, citing the contributions of Bolzano, Cauchy and Reimann. Part one of the book concludes with a chapter on divergent conceptions of the continuum, with the work of nineteenth and early twentieth century philosophers and mathematicians, including Veronese, Poincaré, Brouwer, and Weyl. Part two of this book covers contemporary mathematics, discussing topology and manifolds, categories, and functors, Grothendieck topologies, sheaves, and elementary topoi. Among the theories presented in detail are non-standard analysis, constructive and intuitionist analysis, and smooth infinitesimal analysis/synthetic differential geometry. No other book so thoroughly covers the history and development of the concepts of the continuous and the infinitesimal.

An Elementary Course of Infinitesimal Calculus

Author : Sir Horace Lamb
Publisher :
ISBN 13 :
Total Pages : 556 pages
Book Rating : 4.:/5 (319 download)

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Book Synopsis An Elementary Course of Infinitesimal Calculus by : Sir Horace Lamb

Download or read book An Elementary Course of Infinitesimal Calculus written by Sir Horace Lamb and published by . This book was released on 1924 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Infinitesimal Differences

Author : Ursula Goldenbaum
Publisher : Walter de Gruyter
ISBN 13 : 3110211866
Total Pages : 337 pages
Book Rating : 4.1/5 (12 download)

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Book Synopsis Infinitesimal Differences by : Ursula Goldenbaum

Download or read book Infinitesimal Differences written by Ursula Goldenbaum and published by Walter de Gruyter. This book was released on 2008-11-03 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essays offer a unified and comprehensive view of 17th century mathematical and metaphysical disputes over status of infinitesimals, particularly the question whether they were real or mere fictions. Leibniz's development of the calculus and his understanding of its metaphysical foundation are taken as both a point of departure and a frame of reference for the 17th century discussions of infinitesimals, that involved Hobbes, Wallis, Newton, Bernoulli, Hermann, and Nieuwentijt. Although the calculus was undoubtedly successful in mathematical practice, it remained controversial because its procedures seemed to lack an adequate metaphysical or methodological justification. The topic is also of philosophical interest, because Leibniz freely employed the language of infinitesimal quantities in the foundations of his dynamics and theory of forces. Thus, philosophical disputes over the Leibnizian science of bodies naturally involve questions about the nature of infinitesimals. The volume also includes newly discovered Leibnizian marginalia in the mathematical writings of Hobbes.

Cauchy's Calcul Infinitésimal

Author : Dennis M. Cates
Publisher : Springer
ISBN 13 : 3030110362
Total Pages : 267 pages
Book Rating : 4.0/5 (31 download)

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Book Synopsis Cauchy's Calcul Infinitésimal by : Dennis M. Cates

Download or read book Cauchy's Calcul Infinitésimal written by Dennis M. Cates and published by Springer. This book was released on 2019-04-03 with total page 267 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a complete English translation of Augustin-Louis Cauchy's historic 1823 text (his first devoted to calculus), Résumé des leçons sur le calcul infinitésimal, "Summary of Lectures on the Infinitesimal Calculus," originally written to benefit his École Polytechnique students in Paris. Within this single text, Cauchy succinctly lays out and rigorously develops all of the topics one encounters in an introductory study of the calculus, from his classic definition of the limit to his detailed analysis of the convergence properties of infinite series. In between, the reader will find a full treatment of differential and integral calculus, including the main theorems of calculus and detailed methods of differentiating and integrating a wide variety of functions. Real, single variable calculus is the main focus of the text, but Cauchy spends ample time exploring the extension of his rigorous development to include functions of multiple variables as well as complex functions. This translation maintains the same notation and terminology of Cauchy's original work in the hope of delivering as honest and true a Cauchy experience as possible so that the modern reader can experience his work as it may have been like 200 years ago. This book can be used with advantage today by anyone interested in the history of the calculus and analysis. In addition, it will serve as a particularly valuable supplement to a traditional calculus text for those readers who desire a way to create more texture in a conventional calculus class through the introduction of original historical sources.

Elementary Calculus

Author : H. Jerome Keisler
Publisher :
ISBN 13 :
Total Pages : 968 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Elementary Calculus by : H. Jerome Keisler

Download or read book Elementary Calculus written by H. Jerome Keisler and published by . This book was released on 1976 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spectrums

Author : David Blatner
Publisher : A&C Black
ISBN 13 : 1408838591
Total Pages : 194 pages
Book Rating : 4.4/5 (88 download)

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Book Synopsis Spectrums by : David Blatner

Download or read book Spectrums written by David Blatner and published by A&C Black. This book was released on 2013-01-01 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: The universe is a mind-boggling place, full of things seemingly too big and too small to understand. How can we visualise the minuscule world of the atom and the vastness of our galaxy? How can we grasp a billionth of a second and a billion years? Or the freezing point of Helium and the heat generated by the blast of an atomic bomb?David Blatner's solution is to put these and many other 'inconceivable' items on six spectrums - numbers, size, light, sound, heat and time - that put them into a human perspective. Full of facts, illustrations and anecdotes, Spectrums proves that we really can make sense of our extraordinary universe.Visit spectrums.com for amazing interactive charts, videos and more

Foundations of Infinitesimal Calculus

Author : H. Jerome Keisler
Publisher : Prindle Weber & Schmidt
ISBN 13 : 9780871502155
Total Pages : 214 pages
Book Rating : 4.5/5 (21 download)

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Book Synopsis Foundations of Infinitesimal Calculus by : H. Jerome Keisler

Download or read book Foundations of Infinitesimal Calculus written by H. Jerome Keisler and published by Prindle Weber & Schmidt. This book was released on 1976-01-01 with total page 214 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Treatise on Infinitesimal Calculus: Differential calculus. 1857

Author : Bartholomew Price
Publisher :
ISBN 13 :
Total Pages : 658 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis A Treatise on Infinitesimal Calculus: Differential calculus. 1857 by : Bartholomew Price

Download or read book A Treatise on Infinitesimal Calculus: Differential calculus. 1857 written by Bartholomew Price and published by . This book was released on 1857 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt:

A Primer of Infinitesimal Analysis

Author : John Lane Bell
Publisher : Cambridge University Press
ISBN 13 : 9780521624015
Total Pages : 140 pages
Book Rating : 4.6/5 (24 download)

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Book Synopsis A Primer of Infinitesimal Analysis by : John Lane Bell

Download or read book A Primer of Infinitesimal Analysis written by John Lane Bell and published by Cambridge University Press. This book was released on 1998-07-28 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first elementary book to employ the concept of infinitesimals.

Analysis of an Axial Compressor Stage with Infinitesimal and Finite Blade Spacing

Author : Hans Jacob Reissner
Publisher :
ISBN 13 :
Total Pages : 40 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Analysis of an Axial Compressor Stage with Infinitesimal and Finite Blade Spacing by : Hans Jacob Reissner

Download or read book Analysis of an Axial Compressor Stage with Infinitesimal and Finite Blade Spacing written by Hans Jacob Reissner and published by . This book was released on 1951 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt: A method of designing circular blade systems of finite spacing is developed. First, the theory of flow and through a system of infinitesimally spaced surfaces is formulated by means of a continuous axially symmetric force field which is uniform in the cricumferential direction. This force field replaces the effect of the blade system, with its hub and shroud boundary surfaces. Second, the force field is the space between the blades, hub, and shroud is replaced in the equations of finite spacing by inertia and pressure terms, which were omitted in equations of infinitesimal spacing. These terms will change values of flow variables of infinitesimal spacing.