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Author : K. D. Stroyan
Publisher :
ISBN 13 : 9780126741506
Total Pages : 326 pages
Book Rating : 4.06/5 ( download)
Download or read book Introduction to the Theory of Infinitesimals written by K. D. Stroyan and published by . This book was released on 1976-01-01 with total page 326 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John L. Bell
Publisher : Cambridge University Press
ISBN 13 : 0521887186
Total Pages : 7 pages
Book Rating : 4.82/5 ( download)
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.
Author : Nader Vakil
Publisher : Cambridge University Press
ISBN 13 : 1107002028
Total Pages : 587 pages
Book Rating : 4.29/5 ( download)
Download or read book Real Analysis Through Modern Infinitesimals written by Nader Vakil and published by Cambridge University Press. This book was released on 2011-02-17 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: A coherent, self-contained treatment of the central topics of real analysis employing modern infinitesimals.
Author : Amir Alexander
Publisher : Simon and Schuster
ISBN 13 : 1780745338
Total Pages : 368 pages
Book Rating : 4.36/5 ( download)
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.
Author :
Publisher : Academic Press
ISBN 13 : 9780080873886
Total Pages : 323 pages
Book Rating : 4.8X/5 ( download)
Download or read book Introduction to the Theory of Infiniteseimals written by and published by Academic Press. This book was released on 1977-01-13 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Theory of Infiniteseimals
Author : Oswald Veblen
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.38/5 ( download)
Download or read book Introduction to Infinitesimal Analysis written by Oswald Veblen and published by . This book was released on 1907 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : James M. Henle
Publisher : Courier Corporation
ISBN 13 : 0486151018
Total Pages : 144 pages
Book Rating : 4.14/5 ( download)
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.
Author : Detlef Laugwitz
Publisher :
ISBN 13 : 9788821803413
Total Pages : 110 pages
Book Rating : 4.14/5 ( download)
Download or read book The theory of infinitesimals. An introduction to nonstandard analysis written by Detlef Laugwitz and published by . This book was released on 1980 with total page 110 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Abraham Robinson
Publisher : Princeton University Press
ISBN 13 : 1400884225
Total Pages : 308 pages
Book Rating : 4.23/5 ( download)
Download or read book Non-standard Analysis written by Abraham Robinson and published by Princeton University Press. This book was released on 2016-08-11 with total page 308 pages. Available in PDF, EPUB and Kindle. Book excerpt: Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and applications of non-standard analysis by the mathematician who founded the subject. Non-standard analysis grew out of Robinson's attempt to resolve the contradictions posed by infinitesimals within calculus. He introduced this new subject in a seminar at Princeton in 1960, and it remains as controversial today as it was then. This paperback reprint of the 1974 revised edition is indispensable reading for anyone interested in non-standard analysis. It treats in rich detail many areas of application, including topology, functions of a real variable, functions of a complex variable, and normed linear spaces, together with problems of boundary layer flow of viscous fluids and rederivations of Saint-Venant's hypothesis concerning the distribution of stresses in an elastic body.
Author : Oswald Veblen
Publisher :
ISBN 13 : 9781537085425
Total Pages : 212 pages
Book Rating : 4.25/5 ( download)
Download or read book Introduction to Infinitesimal Analysis written by Oswald Veblen and published by . This book was released on 2016-08-13 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: A course dealing with the fundamental theorems of infinitesimal calculus in a rigorous manner is now recognized as an essential part of the training of a mathematician. It appears in the curriculum of nearly every university, and is taken by students as "Advanced Calculus" in their last collegiate year, or as part of "Theory of Functions" in the first year of graduate work. This little volume is designed as a convenient reference book for such courses; the examples which may be considered necessary being supplied from other sources. The book may also be used as a basis for a rather short theoretical course on real functions, such as is now given from time to time in some of our universities.The general aim has been to obtain rigor of logic with a minimum of elaborate machinery. It is hoped that the systematic use of the Heine-Borel theorem has helped materially toward this end, since by means of this theorem it is possible to avoid almost entirely the sequential division or "pinching" process so common in discussions of this kind.
