From Fermat to Minkowski: Lectures on the Theory of Numbers and Its Historical Development (Undergraduate Texts in Mathematics) - Softcover

Scharlau, Winfried

 
9781441928214: From Fermat to Minkowski: Lectures on the Theory of Numbers and Its Historical Development (Undergraduate Texts in Mathematics)
Softcover
ISBN 10: 1441928219 ISBN 13: 9781441928214
Verlag: Springer New York, 2010

Inhaltsangabe

This book arose from a course of lectures given by the first author during the winter term 1977/1978 at the University of Münster (West Germany). The course was primarily addressed to future high school teachers of mathematics; it was not meant as a systematic introduction to number theory but rather as a historically motivated invitation to the subject, designed to interest the audience in number-theoretical questions and developments. This is also the objective of this book, which is certainly not meant to replace any of the existing excellent texts in number theory. Our selection of topics and examples tries to show how, in the historical development, the investigation of obvious or natural questions has led to more and more comprehensive and profound theories, how again and again, surprising connections between seemingly unrelated problems were discovered, and how the introduction of new methods and concepts led to the solution of hitherto unassailable questions. All this means that we do not present the student with polished proofs (which in turn are the fruit of a long historical development); rather, we try to show how these theorems are the necessary consequences of natural questions. Two examples might illustrate our objectives.

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Reseña del editor

This book arose from a course of lectures given by the first author during the winter term 1977/1978 at the University of Münster (West Germany). The course was primarily addressed to future high school teachers of mathematics; it was not meant as a systematic introduction to number theory but rather as a historically motivated invitation to the subject, designed to interest the audience in number-theoretical questions and developments. This is also the objective of this book, which is certainly not meant to replace any of the existing excellent texts in number theory. Our selection of topics and examples tries to show how, in the historical development, the investigation of obvious or natural questions has led to more and more comprehensive and profound theories, how again and again, surprising connections between seemingly unrelated problems were discovered, and how the introduction of new methods and concepts led to the solution of hitherto unassailable questions. All this means that we do not present the student with polished proofs (which in turn are the fruit of a long historical development); rather, we try to show how these theorems are the necessary consequences of natural questions. Two examples might illustrate our objectives.

Reseña del editor

Tracing the story from its earliest sources, this book celebrates the lives and work of pioneers of modern mathematics: Fermat, Euler, Lagrange, Legendre, Gauss, Fourier, Dirichlet and more. Includes an English translation of Gauss's 1838 letter to Dirichlet.

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Verlag
Springer New York
Erscheinungsdatum
2010
Sprache
Englisch
ISBN 10 
1441928219
ISBN 13 
9781441928214
Einband
Tapa blanda
Anzahl der Seiten
200
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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9780387909424: From Fermat to Minkowski: Lectures on the Theory of Numbers and Its Historical Development (Undergraduate Texts in Mathematics)

Vorgestellte Ausgabe

ISBN 10:  0387909427 ISBN 13:  9780387909424
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Hardcover