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Theory Of Functions Of A Real Variable

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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 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.

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 A Real Variable

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Author : Ralph L. Jeffery
language : en
Publisher:
Release Date : 1968

The Theory Of Functions Of A Real Variable written by Ralph L. Jeffery and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with categories.

The Theory Of Functions Of A Real Variable And The Theory Of Fourier S Series

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Author : Ernest William Hobson
language : en
Publisher:
Release Date : 1921

The Theory Of Functions Of A Real Variable And The Theory Of Fourier S Series 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 1921 with Calculus categories.