Author : N. Bourbaki
Publisher : Springer Science & Business Media
Page : 343 pages
File Size : 48,39 MB
Release : 2013-12-01
Category : Mathematics
ISBN : 3642593151
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.
Author : Edgar Jerome Townsend
Publisher :
Page : 430 pages
File Size : 49,22 MB
Release : 1928
Category : Functions
ISBN :
Author : I P (Isidor Pavlovich) Natanson
Publisher : Hassell Street Press
Page : 288 pages
File Size : 23,44 MB
Release : 2021-09-09
Category :
ISBN : 9781013315244
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.
Author : R. L. Jeffery
Publisher : Dover Publications
Page : 260 pages
File Size : 33,4 MB
Release : 1985
Category : Mathematics
ISBN :
Author : Miklós Laczkovich
Publisher : Springer
Page : 486 pages
File Size : 14,55 MB
Release : 2015-10-08
Category : Mathematics
ISBN : 1493927663
Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introductory textbook develops the central concepts of the analysis of functions of one variable — systematically, with many examples and illustrations, and in a manner that builds upon, and sharpens, the student’s mathematical intuition. The book provides a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of the theoretical concepts treated. In the spirit of learning-by-doing, Real Analysis includes more than 500 engaging exercises for the student keen on mastering the basics of analysis. The wealth of material, and modular organization, of the book make it adaptable as a textbook for courses of various levels; the hints and solutions provided for the more challenging exercises make it ideal for independent study.
Author : Shlomo Sternberg
Publisher : Orange Grove Texts Plus
Page : 0 pages
File Size : 43,42 MB
Release : 2009-09-24
Category :
ISBN : 9781616100780
This text is for a beginning graduate course in real variables and functional analysis. It assumes that the student has seen the basics of real variable theory and point set topology. Contents: 1) The topology of metric spaces. 2) Hilbert Spaces and Compact operators. 3) The Fourier Transform. 4) Measure theory. 5) The Lebesgue integral. 6) The Daniell integral. 7) Wiener measure, Brownian motion and white noise. 8) Haar measure. 9) Banach algebras and the spectral theorem. 10) The spectral theorem. 11) Stone's theorem. 12) More about the spectral theorem. 13) Scattering theory.
Author : Martin A. Moskowitz
Publisher : World Scientific
Page : 733 pages
File Size : 24,18 MB
Release : 2011
Category : Mathematics
ISBN : 981429926X
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 are proved in detail and many of them with novel proofs. The authors develop the theory in a logical sequence building one theorem upon the other, enriching the development with numerous explanatory remarks and historical footnotes. A number of well chosen illustrative examples and counter-examples clarify the theory and teach the reader how to apply it to solve problems in mathematics and 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, Brouwer's fixed point theorem, Picard's theorem and the Weierstrass approximation theorem are discussed in stared sections.
Author : Ernest William Hobson
Publisher :
Page : 766 pages
File Size : 10,64 MB
Release : 1927
Category : Calculus
ISBN :
Author : Boris Zakharovich Vulikh
Publisher :
Page : 368 pages
File Size : 14,11 MB
Release : 1976
Category : Mathematics
ISBN :
Author : Ernest William Hobson
Publisher :
Page : 791 pages
File Size : 23,98 MB
Release : 1907
Category : Calculus
ISBN :
