Real Analysis

Foundations and Functions of One Variable

Autor: Miklós Laczkovich, Vera T. Sós

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Editura: Springer-Verlag New York Inc.

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Based on courses given at Eötvös Loránd University (Hungary) over the past 30 years, this introducto...

Informații despre carte

Autor

Miklós Laczkovich, Vera T. Sós

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2016

Pagini

483

EAN

9781493942220

ISBN

1493942220

Enbook ID

18049930

Editura

Springer-Verlag New York Inc.

Greutate

7489

Dimensiuni

155 x 235 x 26

Descriere completă

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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Real Analysis

Foundations and Functions of One Variable

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