The Theory Of Functions Of Real Variables

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The Theory Of Functions Of A Real Variable

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Author : Ralph Lent Jeffery
language : en
Publisher:
Release Date : 1953

The Theory Of Functions Of A Real Variable written by Ralph Lent Jeffery and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1953 with Functions of real variables categories.

Functions Of A Real Variable

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Author : N. Bourbaki
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01

Functions Of A Real Variable written by N. Bourbaki 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 2013-12-01 with Mathematics categories.

This book is an English translation of the last French edition of Bourbaki’s Fonctions d'une Variable Réelle. The first chapter is devoted to derivatives, Taylor expansions, the finite increments theorem, convex functions. In the second chapter, primitives and integrals (on arbitrary intervals) are studied, as well as their dependence with respect to parameters. Classical functions (exponential, logarithmic, circular and inverse circular) are investigated in the third chapter. The fourth chapter gives a thorough treatment of differential equations (existence and unicity properties of solutions, approximate solutions, dependence on parameters) and of systems of linear differential equations. The local study of functions (comparison relations, asymptotic expansions) is treated in chapter V, with an appendix on Hardy fields. The theory of generalized Taylor expansions and the Euler-MacLaurin formula are presented in the sixth chapter, and applied in the last one to thestudy of the Gamma function on the real line as well as on the complex plane. Although the topics of the book are mainly of an advanced undergraduate level, they are presented in the generality needed for more advanced purposes: functions allowed to take values in topological vector spaces, asymptotic expansions are treated on a filtered set equipped with a comparison scale, theorems on the dependence on parameters of differential equations are directly applicable to the study of flows of vector fields on differential manifolds, etc.

The Theory Of Functions Of Real Variables

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Author : Lawrence M. Graves
language : en
Publisher:
Release Date : 2003

The Theory Of Functions Of Real Variables written by Lawrence M. Graves and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.

The Theory Of Functions Of Real Variables

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Author : Lawrence Murray Graves
language : en
Publisher:
Release Date : 1942

The Theory Of Functions Of Real Variables written by Lawrence Murray Graves and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1942 with Functions of real variables categories.

Lectures On The Theory Of Functions Of Real Variables V 1 2

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Author : James Pierpont
language : en
Publisher: Legare Street Press
Release Date : 2023-07-18

Lectures On The Theory Of Functions Of Real Variables V 1 2 written by James Pierpont and has been published by Legare Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-07-18 with categories.

These lectures explore the theory of functions of real variables, offering a deep dive into the mathematical concepts and techniques underlying modern analysis. Pierpont's approach balances mathematical rigor and accessibility, making this work an essential resource for anyone interested in the foundations of modern calculus and analysis. 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 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. 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.

A Brief Course In The Theory Of Functions Of A Real Variable

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Author : Boris Zakharovich Vulikh
language : en
Publisher:
Release Date : 1976

A Brief Course In The Theory Of Functions Of A Real Variable written by Boris Zakharovich Vulikh and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.

The Theory Of Functions Of Real Variables Second Edition

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Author : Lawrence Murray GRAVES
language : en
Publisher:
Release Date : 1956

The Theory Of Functions Of Real Variables Second Edition written by Lawrence Murray GRAVES and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with categories.

The Theory Of Functions Of Real Variables

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Author : Lawrence Murray Graves
language : en
Publisher:
Release Date : 1931

The Theory Of Functions Of Real Variables written by Lawrence Murray Graves and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1931 with Functions categories.

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.

The Theory Of Functions Of A Real Variable And The Theory Of

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Author : Ernest William Hobson
language : en
Publisher:
Release Date : 1926

The Theory Of Functions Of A Real Variable And The Theory Of written by Ernest William Hobson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1926 with categories.