Diophantine Equations and Power Integral Bases: New Computational Methods

Author:   Istvan Gaal
Publisher:   Birkhauser Boston Inc
ISBN:  

9780817642716


Pages:   208
Publication Date:   26 April 2002
Replaced By:   9783030238643
Format:   Paperback
Availability:   Out of print, replaced by POD   Availability explained
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Diophantine Equations and Power Integral Bases: New Computational Methods


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Overview

Work examines the latest algorithms and tools to solve classical types of diophantine equations.; Unique book---closest competitor, Smart, Cambridge, does not treat index form equations.; Author is a leading researcher in the field of computational algebraic number theory.; The text is illustrated with several tables of various number fields, including their data on power integral bases.; Several interesting properties of number fields are examined.; Some infinite parametric families of fields are also considered as well as the resolution of the corresponding infinite parametric families of diophantine equations.

Full Product Details

Author:   Istvan Gaal
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Dimensions:   Width: 15.50cm , Height: 1.10cm , Length: 23.50cm
Weight:   0.660kg
ISBN:  

9780817642716


ISBN 10:   0817642714
Pages:   208
Publication Date:   26 April 2002
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Replaced By:   9783030238643
Format:   Paperback
Publisher's Status:   Out of Print
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

Table of Contents

Preface * Acknowledgements * Introduction * Auxiliary Results, Tools * Auxiliary Equations * Index Form Equations in General * Cubic Fields * Quartic Fields * Quintic Fields * Sextic Fields * Relative Power Integral Bases * Some Higher Degree Fields * Tables * References * Author Index * Subject Index

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