[PDF] Real Analysis: Foundations and Functions of One Variable By Miklos Laczkovich & Vera T. Sos Free Download


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Real Analysis By Miklos Laczkovich

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Description of a Book

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.

About Author

Miklos Laczkovich is Professor of Mathematics at Eotvos Lorand University and the University College London, and was awarded the Ostrowski Prize in 1993 and the Szechenyi Prize in 1998. Vera T. Sós is a Research Fellow at the Alfred Renyi Institute of Mathematics, and was awarded the Szechenyi Prize in 1997.

Book Details

Real Analysis: Foundations and Functions of One Variable written by Miklos Laczkovich & Vera T. Sos detailed in the below table…

Name of the Book Real Analysis: Foundations and Functions of One Variable
Name of the Author(s) Miklos Laczkovich & Vera T. Sos
Department Mathematics
Publication Springer
Language English
Book Format PDF

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