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Thursday, May 7, 2020 | History

8 edition of Functions of real variables found in the catalog.

Functions of real variables

a course of advanced calculus.

by R. Cooper

  • 238 Want to read
  • 28 Currently reading

Published by Van Nostrand in London, New York [etc.] .
Written in English

    Subjects:
  • Functions of real variables

  • Edition Notes

    SeriesNew university mathematics series
    Classifications
    LC ClassificationsQA331.5 .C64 1966
    The Physical Object
    FormatHardcover
    Paginationxii, 228 p. 23 1/2 cm.
    Number of Pages228
    ID Numbers
    Open LibraryOL5989384M
    ISBN 100442016948
    ISBN 109780442016944
    LC Control Number66019955
    OCLC/WorldCa909125097

    In mathematical analysis, and applications in geometry, applied mathematics, engineering, and natural sciences, a function of a real variable is a function whose domain is the real numbers ℝ, or a subset of ℝ that contains an interval of positive length. The theory of functions of real variables. (New York, McGraw-Hill, ), by Lawrence M. Graves (page images at HathiTrust) Intermediate analysis; an introduction to the theory of functions of one real variable. (New York Appleton-Century-Crofts,), .

    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.5/5(5).   The goals of Functions of Several Variables go well beyond the usual prosaic objective of presenting beginning graduate students with a certain standard set of tools in the theory of functions of several variables. The book is well conceived and well written. It is also richer than many of the current crop of real analysis texts.

    an elementary course on real functions, and it was necessary to refer to the French and German treatises. Since then one treatise, at least, has appeared in English on the Theory of Functions of Real Variables. Nevertheless it is hoped that the present volume, on account of its conciseness, will supply a real Size: 1MB. Lectures on the Theory of Functions of Real Variables, Volume 1 | This is a reproduction of a book published before This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process.


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Functions of real variables by R. Cooper Download PDF EPUB FB2

Originally published in two volumes, this long out-of-print work by a prominent Soviet mathematician presents a thorough examination of the theory of functions of a real variable.

Functions of real variables book for advanced undergraduates and graduate students of mathematics, the treatment offers a clear account of integration theory Cited by: 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.5/5(3). This wonderful textbook, written by one of the preeminent teachers and researchers of analysis of the midth century, gives a deep and comprehensive presentation of undergraduate real analysis of one and several variables that is accessible to any student with a good working knowledge of calculus and some experience with proofs, such as can be provided by a non Pages: 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. Originally published in two volumes, this long out-of-print work by a prominent Soviet mathematician presents a thorough examination of the theory of functions of a real variable.

The Theory of Functions of a Real Variable and the Theory of Fourier's Series, Volume 1 (Dover Publications) Dover Books on Science Dover books on mathematics Dover books: Author: E.

Hobson: Publisher: CUP Archive, Length: pages:. Introduction to Real Analysis by Theodore Kilgore. This note explains the following topics: Integers and Rational Numbers, Building the real numbers, Series, Topological concepts, Functions, limits, and continuity, Cardinality, Representations of the real numbers, The Derivative and the Riemann Integral, Vector and Function Spaces, Finite Taylor-Maclaurin.

This undergraduate textbook is based on lectures given by the author on the differential and integral calculus of functions of several real variables. The book has a modern approach and includes topics such as: •The p-norms on vector space and their equivalence •The Weierstrass and Stone-Weierstrass approximation theorems.

Theory of functions of a real variable. Shlomo Sternberg 2 Introduction. I have taught the beginning graduate course in real variables and functional analysis three times in the last five years, and this book is the result. The course assumes that the student has seen the basics of real variable theory and point set topology.

The File Size: 1MB. Chapter 5 Real-Valued Functions of Several Variables Structure of RRRn Continuous Real-Valued Function of n Variables Partial Derivatives and the Differential The Chain Rule and Taylor’s Theorem Chapter 6 Vector-Valued Functions of Several Variables Linear Transformations and Matrices From the Back Cover.

Originally published in two volumes, this long out-of-print work by a prominent Soviet mathematician presents a thorough examination of the theory of functions of a real variable. Intended for advanced undergraduates and graduate students of mathematics, the treatment 5/5(4). Functions of Several Real Variables.

[Martin A Moskowitz; Fotios Paliogiannis] -- This Book begins with the basics of geometry and topology of Euclidean space and continues with the main topics in the theory of functions of several real variables including limits, continuity.

The Theory of Functions of Real Variables is an ambitious and important book which clearly influenced today’s authors. For evidence we need look no further than the bibliography of Walter Rudin’s highly regarded Principles of Mathematical Analysis. 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.

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, 4/5(2). The theory of functions of a real variable and the theory of Fourier's series, by E.

Hobson. Item PreviewPages: Elementary calculations on real-valued functions of two or three variables such as partial di erentiation, integration, and basic graphing. Of course, a number of these subjects are reviewed extensively, and I am mindful of the fact that one of the most important goals of any course is File Size: 1MB.

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 Range: $ - $ Additional Physical Format: Online version: Osgood, William F.

(William Fogg), Functions of real variables. [S.l.]: [Peiping] University press, The. From this point on, we will deal with functions whose domain and range are both subsets of the real numbers.

We call such functions real-valued function of a real variable (or simply real functions for short). We can also define addition, subtraction, multiplication, and division among real functions.

Let f and g be real-valuedAuthor: Miklós Laczkovich, Vera T. Sós. Chapter 1 Functions of Several Variables Introduction A real valued function of n–variables is a function f: D!R, where the domain Dis a subset of Rn. So: for each (x.Book Description. Basic Analysis I: Functions of a Real Variable is designed for students who have completed the usual calculus and ordinary differential equation sequence and a basic course in linear algebra.

This is a critical course in the use of abstraction, but is just first volume in a sequence of courses which prepare students to become practicing scientists.This book is first of all designed as a text for the course usually called "theory of functions of a real variable".

This course is at present cus­ tomarily offered as a first or second year graduate course in United States universities, although there are signs that this sort of analysis will soon penetrate upper division undergraduate : Springer-Verlag New York.