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Functions of a Real Variable

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Release : 2013-12-01
Genre : Mathematics
Kind : eBook
Book Rating : 151/5 ( reviews)

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Book Synopsis Functions of a Real Variable by : N. Bourbaki

Download or read book Functions of a Real Variable written by N. Bourbaki. This book was released on 2013-12-01. Available in PDF, EPUB and Kindle. Book excerpt: This is an English translation of Bourbaki’s Fonctions d'une Variable Réelle. Coverage includes: 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.

Theory of Functions of a Real Variable (Teoria Functsiy Veshchestvennoy Peremennoy, Chapters I to IX)

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Release : 2021-09-09
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Kind : eBook
Book Rating : 244/5 ( reviews)

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Book Synopsis Theory of Functions of a Real Variable (Teoria Functsiy Veshchestvennoy Peremennoy, Chapters I to IX) by : I P (Isidor Pavlovich) Natanson

Download or read book Theory of Functions of a Real Variable (Teoria Functsiy Veshchestvennoy Peremennoy, Chapters I to IX) written by I P (Isidor Pavlovich) Natanson. This book was released on 2021-09-09. Available in PDF, EPUB and Kindle. Book excerpt: 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. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. 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

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Author :
Release : 1951
Genre : Mathematics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis The Theory of Functions of a Real Variable by : R. L. Jeffery

Download or read book The Theory of Functions of a Real Variable written by R. L. Jeffery. This book was released on 1951. Available in PDF, EPUB and Kindle. Book excerpt:

Functions of Real Variables

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Release : 1928
Genre : Functions
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Book Synopsis Functions of Real Variables by : Edgar Jerome Townsend

Download or read book Functions of Real Variables written by Edgar Jerome Townsend. This book was released on 1928. Available in PDF, EPUB and Kindle. Book excerpt:

Functions Of Several Real Variables

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Release : 2011-04-29
Genre : Mathematics
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Book Rating : 915/5 ( reviews)

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Book Synopsis Functions Of Several Real Variables by : Martin Moskowitz

Download or read book Functions Of Several Real Variables written by Martin Moskowitz. This book was released on 2011-04-29. Available in PDF, EPUB and Kindle. Book excerpt: This book begins with the basics of the geometry and topology of Euclidean space and continues with the main topics in the theory of functions of several real variables including limits, continuity, differentiation and integration. All topics and in particular, differentiation and integration, are treated in depth and with mathematical rigor. The classical theorems of differentiation and integration such as the Inverse and Implicit Function theorems, Lagrange's multiplier rule, Fubini's theorem, the change of variables formula, Green's, Stokes' and Gauss' theorems are proved in detail and many of them with novel proofs. The authors develop the theory in a logical sequence building one result upon the other, enriching the development with numerous explanatory remarks and historical footnotes. A number of well chosen illustrative examples and counter-examples clarify matters and teach the reader how to apply these results and solve problems in mathematics, the other sciences and economics.Each of the chapters concludes with groups of exercises and problems, many of them with detailed solutions while others with hints or final answers. More advanced topics, such as Morse's lemma, Sard's theorem , the Weierstrass approximation theorem, the Fourier transform, Vector fields on spheres, Brouwer's fixed point theorem, Whitney's embedding theorem, Picard's theorem, and Hermite polynomials are discussed in stared sections.

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