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Understanding analysis

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This elementary presentation exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Each chapter begins with the discussion of some motivating examples and concludes with a series of questions.

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Understanding analysis, Stephen Abbott

Sprache
Erscheinungsdatum
2001
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(Hardcover)
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Sprache
Englisch
Autor*innen
Stephen Abbott
Verlag
Springer
Erscheinungsdatum
2001
Einband
Hardcover
Seitenzahl
272
ISBN10
0387950605
ISBN13
9780387950600
Reihe
Bewertung
4,45 von 5 Sternen
Beschreibung
This elementary presentation exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Each chapter begins with the discussion of some motivating examples and concludes with a series of questions.