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Real Analysis: Foundations and Functions of One Variable

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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.

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Detail Information

Series Title

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Call Number

001.4

Publisher

: ., 2015

Collation

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Language

English

ISBN/ISSN

978-1-4939-2766-1

Classification

001.4

Content Type

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Media Type

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Carrier Type

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Edition

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Subject(s)

Real Analysis

Specific Detail Info

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Statement of Responsibility

Miklós Laczkovich

Other Information

Cataloger

Firli

Source

https://link.springer.com/book/10.1007/978-1-4939-2766-1

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