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  • Irrational Numbers

    Irrational Numbers by Niven, Ivan;

    Series: Carus Mathematical Monographs; 11;

      • GET 10% OFF

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      • Publisher's listprice GBP 51.00
      • The price is estimated because at the time of ordering we do not know what conversion rates will apply to HUF / product currency when the book arrives. In case HUF is weaker, the price increases slightly, in case HUF is stronger, the price goes lower slightly.

        24 365 Ft (23 205 Ft + 5% VAT)
      • Discount 10% (cc. 2 437 Ft off)
      • Discounted price 21 929 Ft (20 885 Ft + 5% VAT)

    24 365 Ft

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    Availability

    Estimated delivery time: In stock at the publisher, but not at Prospero's office. Delivery time approx. 3-5 weeks.
    Not in stock at Prospero.

    Why don't you give exact delivery time?

    Delivery time is estimated on our previous experiences. We give estimations only, because we order from outside Hungary, and the delivery time mainly depends on how quickly the publisher supplies the book. Faster or slower deliveries both happen, but we do our best to supply as quickly as possible.

    Product details:

    • Publisher The Mathematical Association of America
    • Date of Publication 18 August 2005

    • ISBN 9780883850381
    • Binding Paperback
    • No. of pages174 pages
    • Size 188x127x17 mm
    • Weight 170 g
    • Language English
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    Short description:

    Ivan Niven provides a masterful exposition of some central results on irrational, transcendental, and normal numbers.

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    Long description:

    In this monograph, Ivan Niven provides a masterful exposition of some central results on irrational, transcendental, and normal numbers. He gives a complete treatment by elementary methods of the irrationality of the exponential, logarithmic, and trigonometric functions with rational arguments. The approximation of irrational numbers by rationals, up to such results as the best possible approximation of Hurwitz, is also given with elementary technique. The last third of the monograph treats normal and transcendental numbers, including the Lindemann theorem, and the Gelfond-Schneider theorem. The book is wholly self-contained. The results needed from analysis and algebra are central. Well-known theorems, and complete references to standard works are given to help the beginner. The chapters are for the most part independent. There are notes at the end of each chapter citing the main sources used by the author and suggesting further reading.

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    Table of Contents:

    1. Rationals and irrationals; 2. Simple irrationalities; 3. Certain algebraic numbers; 4. The approximation of irrationals by rationals; 5. Continued fractions; 6. Further diophantine approximations; 7. Algebraic and transcendental numbers; 8. Normal numbers; 9. The generalized Lindemann theorem; 10. The Gelfond-Schneider theorem; List of notation; Glossary; Reference books; Index of topics; Index of names.

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