Lectures On The Theory Of Functions Of Real Variables Vol 1 Classic Reprint
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Lectures On The Theory Of Functions Of Real Variables Vol 1 Classic Reprint
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Author : James Pierpont
language : en
Publisher: Forgotten Books
Release Date : 2017-12-19
Lectures On The Theory Of Functions Of Real Variables Vol 1 Classic Reprint written by James Pierpont and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Mathematics categories.
Excerpt from Lectures on the Theory of Functions of Real Variables, Vol. 1 The present work is based on lectures which the author is accustomed to give at Yale University on advanced calculus and the theory of functions of real variables. It falls in two volumes, and the following remarks apply only to the first. The student of mathematics, on entering the graduate school of American universities, often has no inconsiderable knowledge of the methods and processes of the calculus. He knows how to differentiate and integrate complicated expressions, to evaluate indeterminate forms, to find maxima and minima, to differentiate a definite integral with respect to a parameter, etc. But no em phasis has been placed on the conditions under which these pro cesses are valid. Great is his surprise to learn that they do not always lead to correct results. Numerous simple examples, how ever, readily convince him that such is nevertheless the case. The problem therefore arises to examine more carefully the conditions under which the theorems and processes of the calculus are correct, and to extend as far as possible or useful the limits of their applicability. In doing this it soon becomes manifest that the style of reason ing which the student has heretofore employed must be abandoned. Examples of curves without tangents, of curves completely filling areas, and other strange configurations so familiar to the analyst of to-day, make it clear that the rough and ready reasoning which rests on geometric intuition must give way to a finer and more delicate analysis. It is necessary for him to learn to think in the e, 8 forms of Cauchy and Weierstrass. 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.
Lectures On The Theory Of Functions Of Real Variables Vol 2 Classic Reprint
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Author : James Pierpont
language : en
Publisher: Forgotten Books
Release Date : 2015-08-05
Lectures On The Theory Of Functions Of Real Variables Vol 2 Classic Reprint written by James Pierpont and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-05 with Mathematics categories.
Excerpt from Lectures on the Theory of Functions of Real Variables, Vol. 2 The present volume has been written in the same spirit that animated tlie first. The author has not intended to write a treatise or a manual; he has aimed rather to reproduce his university lectures with necessary modifications, hoping that the freedom in the choice of subjects and in the manner of presentation allowable in a lecture room may prove helpful and stimulating to a larger audience. A distinctive feature of these Lectures is an attempt to develop the theory of functions with reference to a general domain of definition. The first functions to be considered were simple combinations of the elementary functions. Riemann in his great paper of 1854, "Ueber die Darstellbarkeit einer Function durch eine trigonometrische Reihe," was the first to consider seriously functions whose singularities ceased to be intuitional. The researches of later mathematicians have brought to light a collection of such functions, whose existence so long unsuspected has revolutionized the older notion of a function and made imperative the creation of finer tools of research. But while minute attention was paid to the singular character of these functions, practically none was accorded to the domain over which a function may be defined. After the epoch-making discoveries inaugurated in 1874 by G. Cantor in the theory of point sets, it was no longer necessary to consider a function of one variable as defined in an interval, a function of two variables as defined over a field bounded by one or more simple curves, etc. The first to make use of this new freedom was C. Jordan in his classic paper of 1892. He has had, however, but few imitators. In the present Lectures the author has endeavored to develop this broader view of Jordan, persuaded that in so doing he is merely carrying a step farther the ideas of Dirichlet and Riemann. Often such an endeavor leads to nothing new, a mere statement for any n of what is true for n = 1, or 2. 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.
Lectures On The Theory Of Functions Of Real Variables
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Author : James Pierpont
language : en
Publisher:
Release Date : 1905
Lectures On The Theory Of Functions Of Real Variables written by James Pierpont and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1905 with Calculus categories.
Lectures On The Theory Of Functions Of Real Variables
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Author : James Pierpont
language : en
Publisher: Andesite Press
Release Date : 2015-08-11
Lectures On The Theory Of Functions Of Real Variables written by James Pierpont and has been published by Andesite Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-11 with categories.
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.
Lectures On The Theory Of Functions Of Real Variables
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Author : James Pierpont
language : en
Publisher: Palala Press
Release Date : 2018-03-03
Lectures On The Theory Of Functions Of Real Variables written by James Pierpont and has been published by Palala Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-03-03 with History categories.
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.
The Theory Of Functions Of A Real Variable And The Theory Of Fourier S Series Vol 1 Classic Reprint
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Author : Ernest William Hobson
language : en
Publisher: Forgotten Books
Release Date : 2017-09-12
The Theory Of Functions Of A Real Variable And The Theory Of Fourier S Series Vol 1 Classic Reprint written by Ernest William Hobson and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-12 with Mathematics categories.
Excerpt from The Theory of Functions of a Real Variable and the Theory of Fourier's Series, Vol. 1 On controversial matters connected with the fundamentals of the Theory of Aggregates, the considerable diversity of Opinion which has arisen amongst Mathematicians has been taken into account, but in general no attempt has been made to give dogmatic decisions between opposed opinions. In view of the delicate questions which arise as to the legitimacy and meaning of the axiom known as the Multiplicative Axiom, or as the Principle of Zermelo, the policy has been adopted of so framing the proofs of theorems as to avoid an appeal to the axiom, whenever that course appeared to be possible; in other cases, the necessity for the employment of the axiom has been pointed out. 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.
Lectures Introductory To The Theory Of Functions Of Two Complex Variables
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Author : A. R. Forsyth
language : en
Publisher: Forgotten Books
Release Date : 2017-10-13
Lectures Introductory To The Theory Of Functions Of Two Complex Variables written by A. R. Forsyth and has been published by Forgotten Books this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-10-13 with Mathematics categories.
Excerpt from Lectures Introductory to the Theory of Functions of Two Complex Variables: Delivered to the University of Calcutta, During January and February 1913 HE present volume consists substantially of a course of lectures which, by special invitation of the authorities. 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.
Lectures On The Theory Of Functions Of Real Variables V 1 2 Primary Source Edition
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Author : James Pierpont
language : en
Publisher:
Release Date : 2013-12
Lectures On The Theory Of Functions Of Real Variables V 1 2 Primary Source Edition written by James Pierpont and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12 with categories.
This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.
Lectures On The Theory Of Functions Of Real Variables
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Author : James Pierpont
language : en
Publisher:
Release Date : 2015-08-24
Lectures On The Theory Of Functions Of Real Variables written by James Pierpont and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-08-24 with categories.
Lectures On The Theory Of Functions Of Real Variables
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Author : James Pierpont
language : en
Publisher:
Release Date : 1912
Lectures On The Theory Of Functions Of Real Variables written by James Pierpont and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1912 with Calculus categories.