000			02385nmm a2200229Ia 4500
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020			_a9781461599906
082			_a515.8 _bP946F
100			_aProtter, M. H., _eAuthor _lEnglish _9915
245		2	_aA First Course in Real Analysis _c/ edited by M. H. Protter and others. _h[Electronic Resource]
260			_aNew York _b: Springer, _c1987
300			_a519p.
440			_aUndergraduate Texts in Mathematics Series _915503
520			_aThe 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 are familiar to most students, greater understanding of these processes is acquired by those who work the problems in Chapter 1. As a second purpose, we provide, for those instructors who wish to give a comprehen sive course in analysis, a fairly complete treatment of the real number system including a section on mathematical induction.
650			_aMathematical Analysis _915504
650			_aMathematics _913
700			_aGehring, F. W. _i[Author] _915505
700			_aHalmos, P. R. _i[Editor] _915506
700			_aMorrey, C. B. _i[Author] _9920
856			_uhttps://ebookcentral.proquest.com/lib/iitjin/detail.action?docID=3083340 _qPDF _yClick to Access the Online Book
942			_cEBK _nYes
999			_c11981 _d11981