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Introduction to Real Analysis by Liviu I. Nicolaescu

Introduction to Real Analysis by Liviu I. Nicolaescu

Introduction to Real Analysis by Liviu I. Nicolaescu

This note covers the following topics: mathematical reasoning, The Real Number System, Special classes of real numbers, Limits of sequences, Limits of functions, Continuity, Differential calculus, Applications of differential calculus, Integral calculus, Complex numbers and some of their applications, The geometry and topology of Euclidean spaces, Continuity, Multi-variable differential calculus, Applications of multi-variable differential calculus, Multidimensional Riemann integration, Integration over submanifolds.

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s696 Pages
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