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Titlebook: A First Course in Real Analysis; M. H. Protter,C. B. Morrey Textbook 19771st edition Springer-Verlag, New York Inc. 1977 Analysis.Calc.Dif

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期刊全称A First Course in Real Analysis
影响因子2023M. H. Protter,C. B. Morrey
视频video
学科分类Undergraduate Texts in Mathematics
图书封面Titlebook: A First Course in Real Analysis;  M. H. Protter,C. B. Morrey Textbook 19771st edition Springer-Verlag, New York Inc. 1977 Analysis.Calc.Dif
影响因子The first course in analysis which follows elementary calculus is a critical one for students who are seriously interested in mathematics. Traditional advanced calculus was precisely what its name indicates-a course with topics in calculus emphasizing problem solving rather than theory. As a result students were often given a misleading impression of what mathematics is all about; on the other hand the current approach, with its emphasis on theory, gives the student insight in the fundamentals of analysis. In A First Course in Real Analysis we present a theoretical basis of analysis which is suitable for students who have just completed a course in elementary calculus. Since the sixteen chapters contain more than enough analysis for a one year course, the instructor teaching a one or two quarter or a one semester junior level course should easily find those topics which he or she thinks students should have. The first Chapter, on the real number system, serves two purposes. Because most students entering this course have had no experience in devising proofs of theorems, it provides an opportunity to develop facility in theorem proving. Although the elementary processes of numbers a
Pindex Textbook 19771st edition
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Überrenditen mit aktiven Anlagestrategien?, a portion of any first course in calculus is devoted to the development of routine methods for computing derivatives. However, not all functions possess derivatives everywhere. For example, the functions (1 + ., cot ., and sin(1/.) do not possess derivatives at . = 0 no matter how they are defined at . = 0.
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Spezialprobleme der Unternehmensbewertung,is a straightforward generalization of the theory of area (Jordan content) given in Section 5.4. We shall outline the main steps of the theory and leave the proofs of the theorems to the reader. We recall the definitions of open and closed cells given earlier in Section 6.3.
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https://doi.org/10.1007/978-3-663-13851-8The reader is undoubtedly familiar with the idea of integral and with methods of performing integrations. In this section we define integral precisely and prove the basic theorems which justify the processes of integration employed in a first course in calculus.
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