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Author : Oswald Veblen
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.:/5 (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 : N J Lennes
Publisher :
ISBN 13 : 9781659154320
Total Pages : 236 pages
Book Rating : 4.1/5 (543 download)
Download or read book Introduction to Infinitesimal Analysis written by N J Lennes and published by . This book was released on 2020-01-11 with total page 236 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. The definition of a limit by means of the notion "value approached" has simplified the proofs of theorems, such as those giving necessary and sufficient conditions for the existence of limits...
Author : Oswald Veblen & N. J. Lennes
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (76 download)
Download or read book Introduction to Infinitesimal Analysis. Functions of One Real Variable written by Oswald Veblen & N. J. Lennes and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Oswald Veblen
Publisher : Forgotten Books
ISBN 13 : 9780265281956
Total Pages : 258 pages
Book Rating : 4.2/5 (819 download)
Download or read book Introduction to Infinitesimal Analysis written by Oswald Veblen and published by Forgotten Books. This book was released on 2017-10-13 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Introduction to Infinitesimal Analysis: Functions of One Real Variable When this work was undertaken there was no convenient source in English containing a rigorous and systematic treat ment of the body of theorems usually included in even an ele mentary course on real functions, and it was necessary to refer to the French and German treatises. Since then one treatise, at least, has appeared in English on the Theory of Functions of Real Variables. Nevertheless it is hoped that the present volume, on account of its conciseness, will supply a real want. The authors are much indebted to Professor E. H. Moore of the University of Chicago for many helpful criticisms and suggestions; to Mr. E. B. Morrow of Princeton University for reading the manuscript and helping prepare the cuts; and to Professor G. A. Bliss of Princeton, who has suggested several desirable changes while reading the proof-sheets. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : Oswald Veblen
Publisher :
ISBN 13 : 9781701475946
Total Pages : 190 pages
Book Rating : 4.4/5 (759 download)
Download or read book Introduction to Infinitesimal Analysis Functions of One Real Variable written by Oswald Veblen and published by . This book was released on 2019-10-21 with total page 190 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. The definition of a limit by means of the notion "value approached" has simplified the proofs of theorems, such as those giving necessary and sufficient conditions for the existence of limits, and in general has largely decreased the number of "'s and _'s. The theory of limits is developed for multiple-valued functions, which gives certain advantages in the treatment of the definite integral.
Author : Lennes Lennes et al.
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781544892818
Total Pages : 226 pages
Book Rating : 4.8/5 (928 download)
Download or read book Introduction to Infinitesimal Analysis; Functions of One Real Variable written by Lennes Lennes et al. and published by Createspace Independent Publishing Platform. This book was released on 2017-03-24 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Infinitesimal Analysis; Functions of One Real Variable Lennes et al.
Author : Oswald Veblen
Publisher :
ISBN 13 :
Total Pages : 227 pages
Book Rating : 4.:/5 (154 download)
Download or read book Introduction to Infinitesimal Analysis Function of One Real Variable written by Oswald Veblen and published by . This book was released on 1907 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Oswald Veblen
Publisher : Sagwan Press
ISBN 13 : 9781340216610
Total Pages : 264 pages
Book Rating : 4.2/5 (166 download)
Download or read book Introduction to Infinitesimal Analysis; Functions of One Real Variable written by Oswald Veblen and published by Sagwan Press. This book was released on 2015-08-24 with total page 264 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 was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.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.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. 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.
Author : Oswald Veblen
Publisher :
ISBN 13 :
Total Pages : 227 pages
Book Rating : 4.:/5 (639 download)
Download or read book Introduction to Infinitesimal Analysis; Functions of One Real Variable, by Oswald Veblen and N.J. Lennes written by Oswald Veblen and published by . This book was released on 1935 with total page 227 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Oswald Veblen
Publisher :
ISBN 13 : 9781537085425
Total Pages : 212 pages
Book Rating : 4.0/5 (854 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.
Author : Nels Johann
Publisher :
ISBN 13 : 9781724279408
Total Pages : 222 pages
Book Rating : 4.2/5 (794 download)
Download or read book Introduction to Infinitesimal Analysis written by Nels Johann and published by . This book was released on 2018-07-26 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to Infinitesimal Analysis: Large Print By Nels Johann, Veblen Oswald (Authored by) Introduction to Infinitesimal Analysis; Functions of One Real Variable Lennes et al. We are delighted to publish this classic book as part of our extensive Classic Library collection. Many of the books in our collection have been out of print for decades, and therefore have not been accessible to the general public. The aim of our publishing program is to facilitate rapid access to this vast reservoir of literature, and our view is that this is a significant literary work, which deserves to be brought back into print after many decades. The contents of the vast majority of titles in the Classic Library have been scanned from the original works. To ensure a high quality product, each title has been meticulously hand curated by our staff. Our philosophy has been guided by a desire to provide the reader with a book that is as close as possible to ownership of the original work. We hope that you will enjoy this wonderful classic work, and that for you it becomes an enriching experience.
Author : HardPress
Publisher : Hardpress Publishing
ISBN 13 : 9781314604535
Total Pages : 270 pages
Book Rating : 4.6/5 (45 download)
Download or read book Introduction to Infinitesimal Analysis; Functions of One Real Variable written by HardPress and published by Hardpress Publishing. This book was released on 2013-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.
Author : William Benjamin Smith
Publisher :
ISBN 13 :
Total Pages : 378 pages
Book Rating : 4.3/5 (91 download)
Download or read book Infinitesimal Analysis written by William Benjamin Smith and published by . This book was released on 1898 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Oswald Veblen
Publisher :
ISBN 13 :
Total Pages : 268 pages
Book Rating : 4.A/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 : Charles H. C. Little
Publisher : Springer Nature
ISBN 13 : 3030906469
Total Pages : 258 pages
Book Rating : 4.0/5 (39 download)
Download or read book An Introduction to Infinite Products written by Charles H. C. Little and published by Springer Nature. This book was released on 2022-01-10 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a detailed presentation of the main results for infinite products, as well as several applications. The target readership is a student familiar with the basics of real analysis of a single variable and a first course in complex analysis up to and including the calculus of residues. The book provides a detailed treatment of the main theoretical results and applications with a goal of providing the reader with a short introduction and motivation for present and future study. While the coverage does not include an exhaustive compilation of results, the reader will be armed with an understanding of infinite products within the course of more advanced studies, and, inspired by the sheer beauty of the mathematics. The book will serve as a reference for students of mathematics, physics and engineering, at the level of senior undergraduate or beginning graduate level, who want to know more about infinite products. It will also be of interest to instructors who teach courses that involve infinite products as well as mathematicians who wish to dive deeper into the subject. One could certainly design a special-topics class based on this book for undergraduates. The exercises give the reader a good opportunity to test their understanding of each section.
Author : Robert Goldblatt
Publisher : Springer Science & Business Media
ISBN 13 : 1461206154
Total Pages : 292 pages
Book Rating : 4.4/5 (612 download)
Download or read book Lectures on the Hyperreals written by Robert Goldblatt and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to nonstandard analysis based on a course given by the author. It is suitable for beginning graduates or upper undergraduates, or for self-study by anyone familiar with elementary real analysis. It presents nonstandard analysis not just as a theory about infinitely small and large numbers, but as a radically different way of viewing many standard mathematical concepts and constructions. It is a source of new ideas, objects and proofs, and a wealth of powerful new principles of reasoning. The book begins with the ultrapower construction of hyperreal number systems, and proceeds to develop one-variable calculus, analysis and topology from the nonstandard perspective. It then sets out the theory of enlargements of fragments of the mathematical universe, providing a foundation for the full-scale development of the nonstandard methodology. The final chapters apply this to a number of topics, including Loeb measure theory and its relation to Lebesgue measure on the real line. Highlights include an early introduction of the ideas of internal, external and hyperfinite sets, and a more axiomatic set-theoretic approach to enlargements than is usual.
Author : John Lane Bell
Publisher : Cambridge University Press
ISBN 13 : 9780521624015
Total Pages : 140 pages
Book Rating : 4.6/5 (24 download)
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.
