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.
Mathematical Thought From Ancient To Modern Times Volume 3
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Author : Morris Kline
language : en
Publisher: Oxford University Press
Release Date : 1990-03-01
Mathematical Thought From Ancient To Modern Times Volume 3 written by Morris Kline and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-03-01 with Mathematics categories.
This comprehensive history traces the development of mathematical ideas and the careers of the men responsible for them. Volume 1 looks at the disciplines origins in Babylon and Egypt, the creation of geometry and trigonometry by the Greeks, and the role of mathematics in the medieval and early modern periods. Volume 2 focuses on calculus, the rise of analysis in the 19th century, and the number theories of Dedekind and Dirichlet. The concluding volume covers the revival of projective geometry, the emergence of abstract algebra, the beginnings of topology, and the influence of Godel on recent mathematical study.
Mathematical Thought From Ancient To Modern Times
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Author : Morris Kline
language : en
Publisher: OUP USA
Release Date : 1990-03
Mathematical Thought From Ancient To Modern Times written by Morris Kline and has been published by OUP USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-03 with Mathematics categories.
Traces the development of mathematics from its beginnings in Babylonia and ancient Egypt to the work of Riemann and Godel in modern times.
Books In Print
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Author :
language : en
Publisher:
Release Date : 1991
Books In Print written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with American literature categories.
Menahem Max Schiffer Selected Papers Volume 1
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Author : Peter Duren
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-10-17
Menahem Max Schiffer Selected Papers Volume 1 written by Peter Duren and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-10-17 with Mathematics categories.
This two volume set presents over 50 of the most groundbreaking contributions of Menahem M Schiffer. All of the reprints of Schiffer’s works herein have extensive annotation and invited commentaries, giving new clarity and insight into the impact and legacy of Schiffer's work. A complete bibliography and brief biography make this a rounded and invaluable reference.
Scientific American
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Author :
language : en
Publisher:
Release Date : 1960
Scientific American written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1960 with Science categories.
Monthly magazine devoted to topics of general scientific interest.
The Publishers Trade List Annual
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Author :
language : en
Publisher:
Release Date : 1985
The Publishers Trade List Annual written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985 with American literature categories.
The New Encyclop Dia Britannica Macrop Dia
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Author :
language : en
Publisher:
Release Date : 1991
The New Encyclop Dia Britannica Macrop Dia written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Encyclopedias and dictionaries categories.
The New Encyclopaedia Britannica Macropaedia Knowledge In Depth
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Author :
language : en
Publisher:
Release Date : 1998
The New Encyclopaedia Britannica Macropaedia Knowledge In Depth written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Encyclopedias and dictionaries categories.
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.