The Number Systems: Foundations of Algebra and Analysis (AMS Chelsea Publishing) - Hardcover

Feferman, Solomon

 
9780821829158: The Number Systems: Foundations of Algebra and Analysis (AMS Chelsea Publishing)
Hardcover
ISBN 10: 0821829157 ISBN 13: 9780821829158
Verlag: American Mathematical Society, 2003

Inhaltsangabe

The subject of this book is the successive construction and development of the basic number systems of mathematics: positive integers, integers, rational numbers, real numbers and complex numbers. This second edition expands upon the list of suggestions for further reading in Appendix III. From the Preface: 'The present book basically takes for granted the non-constructive set-theoretical foundation of mathematics, which is tacitly if not explicitly accepted by most working mathematicians but which I have since come to reject. Still, whatever one's foundational views, students must be trained in this approach in order to understand modern mathematics. Moreover, most of the material of the present book can be modified so as to be acceptable under alternative constructive and semi-constructive viewpoints, as has been demonstrated in more advanced texts and research articles'.

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Reseña del editor

The subject of this book is the successive construction and development of the basic number systems of mathematics: positive integers, integers, rational numbers, real numbers, and complex numbers. This second edition expands upon the list of suggestions for further reading in Appendix III.From the Preface: ``The present book basically takes for granted the non-constructive set-theoretical foundation of mathematics, which is tacitly if not explicitly accepted by most working mathematicians but which I have since come to reject. Still, whatever one's foundational views, students must be trained in this approach in order to understand modern mathematics. Moreover, most of the material of the present book can be modified so as to be acceptable under alternative constructive and semi-constructive viewpoints, as has been demonstrated in more advanced texts and research articles.''

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
American Mathematical Society
Erscheinungsdatum
2003
Sprache
Englisch
ISBN 10 
0821829157
ISBN 13 
9780821829158
Einband
Tapa dura
Auflage
2
Anzahl der Seiten
418
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar

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