## Counterexamples in AnalysisThese 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. |

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#### Review: Counterexamples in Analysis

Recensione dell'utente - GoodreadsAlthough it does give some rather arcane examples where a detailed abstract description would have sufficed, it does give a concise collection of concrete counterexamples, some of which may have slipped under your radar. Leggi recensione completa

#### Review: Counterexamples in Analysis

Recensione dell'utente - GoodreadsThe book contains some important examples, but most of them are too arcane and inelegant. Leggi recensione completa

### Altre edizioni - Visualizza tutto

Counterexamples in analysis Bernard R. Gelbaum,John Meigs Hubbell Olmsted Visualizzazione frammento - 1964 |