Counterexamples in Analysis (Dover Books on Mathematics) - Softcover
Book 111 of 302: Dover Books on Mathematics
Synopsis
These counterexamples deal mostly with the part of analysis known as "real variables." The 1st half of the book discusses the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, more. The 2nd half examines functions of 2 variables, plane sets, area, metric and topological spaces, and function spaces. 1962 edition. Includes 12 figures.
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Synopsis
While most mathematical textbooks are devoted to the proof of true statements, this text focuses on counterexamples for proving statements are false. The 13 chapters cover differentiation, Riemann integration, sequences, infinite series, sets of real numbers, functions of two variables, and metric and topological spaces. Originally published by Hol
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Counterexamples in Analysis
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Dover Publications Inc., US, 2003
ISBN 10: 0486428753
ISBN 13: 9780486428758
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Paperback. Condition: New. These counterexamples, arranged according to difficulty or sophistication, deal mostly with the part of analysis known as "real variables," starting at the level of calculus. The first half of the book concerns functions of a real variable; topics include the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, uniform convergence, and sets and measure on the real axis. The second half, encompassing higher dimensions, examines functions of two variables, plane sets, area, metric and topological spaces, and function spaces.This volume contains much that will prove suitable for students who have not yet completed a first course in calculus, and ample material of interest to more advanced students of analysis as well as graduate students.12 figures. Bibliography. Index. Errata.Reprint of the Holden-Day, Inc., San Francisco, 1962 edition. Seller Inventory # LU-9780486428758
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