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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. ![]() Free Download A Field Guide to Fairies and Magical Beings: Understanding, Finding, and Protecting Fae by Kayleigh Efird English | April 15, 2025 | ISBN: 125037281X | 160 pages | MOBI | 40 Mb The vintage fairy-finding manual for modern-day believers ![]() Free Download A Far Better Thing by H. G. Parry English | June 17, 2025 | ISBN: 1250334187 | True EPUB | 416 pages | 3.2 MB Jonathan Strange & Mr Norrell meets A Tale of Two Cities in H. G. 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