Eprints of Rényi Institute

Nemsztenderd analízis

Csirmaz, László (1999) Nemsztenderd analízis. Typotex, Budapest.

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Postscript (Title page) - in Hungarian
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Postscript (Chapter 5) - in Hungarian
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Postscript (Table of Contents) - in Hungarian
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Postscript (Chapter 6) - in Hungarian
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Postscript (Chapter 1) - in Hungarian
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Postscript (Chapter 7) - in Hungarian
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Postscript (Chapter 2) - in Hungarian
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Postscript (Chapter 8) - in Hungarian
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Postscript (Chapter 3) - in Hungarian
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Postscript (Appendix) - in Hungarian
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Postscript (Chapter 4) - in Hungarian
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Postscript (References) - in Hungarian
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Abstract

An introduction to nonstandard analysis. In the book we give a non-standard proof of the famous Picard theorem and introduce the Julia directions.
Content:
1. Introduction
2. Tools from Logic
3. Enlargement
4. Elementary Calculus
5. Metric spaces
6. Sparse polynomials
7. Complex functions
A. Appendix
References

Item Type:Book
Keywords and phrases:non-standard analysis, complex functions, Picard theorem, metric spaces, uniform convergence
Subjects:30A05 Monogenic properties of complex functions (including polygenic and areolar monogenic functions)
40A05 Convergence and divergence of series and sequences
26E35 Nonstandard analysis
Divisions:Research Groups > Theoretical cryptography
Last Modified:18 Jul 2009 18:20

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