عنوان

Real analysis :

شابک

1493927663

شابک

9781493927661

شابک اشتباه

1493927655

شابک اشتباه

9781493927654

کد کشور

bnb

شماره

b623748

عنوان اصلي

Real analysis :

نام عام مواد

[Book]

ساير اطلاعات عنواني

foundations and functions of one variable /

نام نخستين پديدآور

Miklós Laczkovich, Vera T. Sós.

وضعيت ويراست

Fifth edition.

نام خاص و کميت اثر

1 online resource

عنوان فروست

Undergraduate texts in mathematics,

شاپا ي ISSN فروست

0172-6056

متن يادداشت

Translation from the Hungarian language 3rd edition.

متن يادداشت

Includes bibliographical references and index.

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

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.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix. 9781493927661

عنوان

Real analysis.

شماره استاندارد بين المللي کتاب و موسيقي

1493927655

عنوان قراردادي

Valós analízis.

زبان(وقتي جزئي از عنوان قراردادي باشد)

English

موضوع مستند نشده

Mathematical analysis, Textbooks.

موضوع مستند نشده

Calculus & mathematical analysis.

موضوع مستند نشده

Mathematical analysis.

موضوع مستند نشده

Mathematics-- Mathematical Analysis.

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Laczkovich, Miklós

مستند نام اشخاص تاييد نشده

Sós, Vera T.

تاريخ عمليات

20201221082850.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

کد کاربرگه

270410

تكميل شده

Y