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 ...
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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 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.
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First edition, first printing, 519 pp., Hardcover, very good. -If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country.
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Good. Ships in a BOX from Central Missouri! May not include working access code. Will not include dust jacket. Has used sticker(s) and some writing or highlighting. UPS shipping for most packages, (Priority Mail for AK/HI/APO/PO Boxes).
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Very Good- 0387974377. Light shelf wear to the edges of the covers. A clean and tight copy.; Undergraduate Texts in Mathematics; 1.4 x 9.2 x 6.1 Inches; 560 pages.
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Very Good. No Jacket. Very good, clean, tight condition with light wear from use. Texts free of marks. Professional book dealer since 1999. All orders are processed promptly and carefully packaged.
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UsedGood. Hardcover; surplus library copy with the usual stampings; reference number affixed to spine; fading and shelf wear to exterior; bumps to the corners; otherwise in good condition with clean text and tight binding.
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Hardcover 2nd edition/3rd printing (1993) in Good condition. There are deep indentations on the top and bottom edges of the covers, possibly resulting from propping something up as well as indented spine ends; otherwise, the covers are in good shape. The binding is rolled forward. Small abrasion to the front flyleaf. The interior pages are clean, bright and unmarked. The book will be carefully packaged for shipment for protection from the elements. USPS electronic tracking number issued free of charge. Many changes have been made in this second edition of A First Course in Real Analysis. The most noticeable is the addition of many problems and the inclusion of answers to most of the odd-numbered exercises. The book's readability has also been improved by the further clarification of many of the proofs, additional explanatory remarks, and clearer notation. 534 pages. Undergraduate Texts in Mathematics.