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Real Analysis: Foundations and Functions of One Variable

Real Analysis: Foundations and Functions of One Variable

Paperback

Series: Undergraduate Texts in Mathematics

CalculusGeneral Mathematics

ISBN10: 1493942220
ISBN13: 9781493942220
Publisher: Springer Nature
Published: Aug 23 2016
Pages: 483
Weight: 1.53
Height: 1.01 Width: 6.14 Depth: 9.21
Language: English

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.

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