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Hyunseok Kim et al.: Advanced Calculus Second Edition

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Description

The book begins with a preliminary chapter on sets, functions, and real numbers. After briefly providing basic set theory, we introduce the completeness property of real numbers and its several consequences. The main body consists of two parts. Part I is devoted to developing the theory of functions of one variable. Functions of several variables which are more difficult and technical are studied in Part II. Part I is self-contained. All the theorems in Part I are deduced from the completeness property of real numbers. But some results in Part II are proved by using standard results from linear algebra such as elementary matrices and determinants. Therefore, readers of Part II should have some knowledge about elementary Linear Algebra.

Korean title: Advanced Calculus Second Edition

Korean author: Hyunseok Kim 외

Korean publisher: 경문사

ISBN-13: 9791160736939

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MK********
March 28, 2025

It's a shame to be toxic, but it's understandable to follow the definition theorem of c.697.

Hyunseok Kim 외: Advanced Calculus Second Edition
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