Based on courses given at E�tv�s Lor�nd 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 the Author

Mikl�s Laczkovich is Professor of Mathematics at E�tv�s Lor�nd University and the University College London, and was awarded the Ostrowski Prize in 1993 and the Sz�chenyi Prize in 1998. Vera T. S�s is a Research Fellow at the Alfr�d R�nyi Institute of Mathematics, and was awarded the Sz�chenyi Prize in 1997.

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