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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
The Continuum: A Constructive Approach to Basic Concepts of Real Analysis

The Continuum: A Constructive Approach to Basic Concepts of Real Analysis

Taschner, Rudolf

Paperback

CalculusGeneral Mathematics

ISBN10: 3322820386
ISBN13: 9783322820389
Publisher: Vieweg+teubner Verlag
Published: Feb 5 2012
Pages: 136
Weight: 0.56
Height: 0.33 Width: 6.69 Depth: 9.61
Language: English
Das Buch ist gut geeignet als Textgrundlage für Seminare aus reeller Analysis (vorzugsweise für Seminare, nachdem die Studierenden den üblichen formal-axiomatischen Zugang zu den reellen Zahlen erfahren haben).

In this small text the basic theory of the continuum, including the elements of metric space theory and continuity is developed within the system of intuitionistic mathematics in the sense of L.E.J. Brouwer and H. Weyl. The main features are proofs of the famous theorems of Brouwer concerning the continuity of all functions that are defined on whole intervals, the uniform continuity of all functions that are defined on compact intervals, and the uniform convergence of all pointwise converging sequences of functions defined on compact intervals. The constructive approach is interesting both in itself and as a contrast to, for example, the formal axiomatic one.

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