The Theory Of Functions Of A Real Variable
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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 A Real Variable And The Theory Of Fourier S Series
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Author : Ernest William Hobson
language : en
Publisher: CUP Archive
Release Date : 1927
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 CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1927 with Calculus 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.
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 Second Edition
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Author : Ralph Jeffery
language : en
Publisher:
Release Date : 2019
The Theory Of Functions Of A Real Variable Second Edition written by Ralph Jeffery and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019 with Functions of real variables categories.
This textbook leads the reader by easy stages through the essential parts of the theory of sets and theory of measure to the properties of the Lebesgue integral. The first part of the book gives a general introduction to functions of a real variable, measure, and integration, while the second part treats the problem of inverting the derivative of continuous functions, leading to the Denjoy integrals, and studies the derivates and approximate derivates of functions of a real variable on arbitrary linear sets. The author considers the presentation of this second part as the main purpose of his book.
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.
Intermediate Analysis
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Author : John Meigs Hubbell Olmsted
language : en
Publisher:
Release Date : 1956
Intermediate Analysis written by John Meigs Hubbell Olmsted and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1956 with Mathematics 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 : 1926
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 1926 with categories.
A Handbook Of Real Variables
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Author : Steven G. Krantz
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-06-28
A Handbook Of Real Variables written by Steven G. Krantz 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 2011-06-28 with Mathematics categories.
The subject of real analysis dates to the mid-nineteenth century - the days of Riemann and Cauchy and Weierstrass. Real analysis grew up as a way to make the calculus rigorous. Today the two subjects are intertwined in most people's minds. Yet calculus is only the first step of a long journey, and real analysis is one of the first great triumphs along that road. In real analysis we learn the rigorous theories of sequences and series, and the profound new insights that these tools make possible. We learn of the completeness of the real number system, and how this property makes the real numbers the natural set of limit points for the rational numbers. We learn of compact sets and uniform convergence. The great classical examples, such as the Weierstrass nowhere-differentiable function and the Cantor set, are part of the bedrock of the subject. Of course complete and rigorous treatments of the derivative and the integral are essential parts of this process. The Weierstrass approximation theorem, the Riemann integral, the Cauchy property for sequences, and many other deep ideas round out the picture of a powerful set of tools.