عنوان

Real analysis :

(Number (ISBN

1493927663

(Number (ISBN

9781493927661

Erroneous ISBN

1493927655

Erroneous ISBN

9781493927654

Country Code

bnb

Number

b623748

Title Proper

Real analysis :

General Material Designation

[Book]

Other Title Information

foundations and functions of one variable /

First Statement of Responsibility

Miklós Laczkovich, Vera T. Sós.

Edition Statement

Fifth edition.

Specific Material Designation and Extent of Item

1 online resource

Series Title

Undergraduate texts in mathematics,

ISSN of Series

0172-6056

Text of Note

Translation from the Hungarian language 3rd edition.

Text of Note

Includes bibliographical references and index.

Text of Note

A Short Historical Introduction -- Basic Concepts -- Real Numbers -- Infinite Sequences I -- Infinite Sequences II -- Infinite Sequences III -- Rudiments of Infinite Series -- Countable Sets -- Real Valued Functions of One Variable -- Continuity and Limits of Functions -- Various Important Classes of Functions (Elementary Functions) -- Differentiation -- Applications of Differentiation -- The Definite Integral -- Integration -- Applications of Integration -- Functions of Bounded Variation -- The Stieltjes Integral -- The Improper Integral.

0

Text of Note

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 students' mathematical intuition. The modular organization of the book makes it adaptable for either semester or year-long introductory courses, while the wealth of material allows for it to be used at various levels of student sophistication in all programs where analysis is a part of the curriculum, including teachers' education. 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. There are frequent hints and occasional complete solutions provided for the more challenging exercises making it an ideal choice for independent study. The book includes a solid grounding in the basics of logic and proofs, sets, and real numbers, in preparation for a rigorous study of the main topics: limits, continuity, rational functions and transcendental functions, differentiation, and integration. Numerous historical notes and applications to other areas of mathematics, and to physics, are given, thereby demonstrating the practical scope and power of mathematical analysis.

Source for Acquisition/Subscription Address

Springer Nature

Stock Number

com.springer.onix. 9781493927661

Title

Real analysis.

International Standard Book Number

1493927655

General Material Designation

Valós analízis.

Language (when part of a heading)

English

Mathematical analysis, Textbooks.

Calculus & mathematical analysis.

Mathematical analysis.

Mathematics-- Mathematical Analysis.

Number

Edition

Class number

Laczkovich, Miklós

Sós, Vera T.

Date of Transaction

20201221082850.0

Cataloguing Rules (Descriptive Conventions))

pn

Electronic name

[Book]

270410

Y