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Introduction to Analysis of the Infinite: Book I - Hardcover

Euler, Leonhard

 
9780387968247: Introduction to Analysis of the Infinite: Book I

Inhaltsangabe

From the preface of the author: "...I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those thing which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. In the first book, since all of analysis is concerned with variable quantities and functions of such variables, I have given full treatment to functions. I have also treated the transformation of functions and functions as the sum of infinite series. In addition I have developed functions in infinite series..."

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Über die Autorin bzw. den Autor

Der Schweizer Mathematiker, Natur- und Technikwissenschaftler Leonhard Euler (1707-83) prägte mit seinen wegweisenden Resultaten zur Zahlentheorie, Geometrie, Reihenlehre und zur Theorie der Differentialgleichungen die Mathematik seiner Zeit. Euler gilt als bedeutender Vertreter einer mathematisch orientierten Naturwissenschaft, er lieferte u.a. fundamentale Ergebnisse zur Hydrodynamik und zur Mechanik. Zahlreiche Symbole und Bezeichnungen, die nach wie vor in verschiedenen Disziplinen Geltung haben, wurden von Euler eingeführt.

Von der hinteren Coverseite

From the preface of the author: "...I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those thing which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. In the first book, since all of analysis is concerned with variable quantities and functions of such variables, I have given full treatment to functions. I have also treated the transformation of functions and functions as the sum of infinite series. In addition I have developed functions in infinite series..."

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