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This volume contains seven articles of Leonhard Euler
(1707-1783) and four articles of his son, Albrecht Euler. The
articles on heat, electricity and magnetism are in Latin (5
articles) and in French (6 articles). The extensive introduction is
written in English.
With volume 10, series tertia is now completely available.
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..."
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..."
The 18th century was a wealth of knowledge, exploration and rapidly
growing technology and expanding record-keeping made possible by
advances in the printing press. In its determination to preserve
the century of revolution, Gale initiated a revolution of its own:
digitization of epic proportions to preserve these invaluable works
in the largest archive of its kind. Now for the first time these
high-quality digital copies of original 18th century manuscripts
are available in print, making them highly accessible to libraries,
undergraduate students, and independent scholars.Medical theory and
practice of the 1700s developed rapidly, as is evidenced by the
extensive collection, which includes descriptions of diseases,
their conditions, and treatments. Books on science and technology,
agriculture, military technology, natural philosophy, even
cookbooks, are all contained here.++++The below data was compiled
from various identification fields in the bibliographic record of
this title. This data is provided as an additional tool in helping
to insure edition identification: ++++British LibraryT100446First
published in 1768 as 'Lettres une princesse d'Allemagne'.London:
printed for the translator, and for H. Murray, 1795. 2v., plates; 8
Der Band enthalt 14 Korrespondenzen Eulers mit Gelehrten aus dem
Umfeld der Universitat Halle, der damals groessten und
bedeutendsten Universitat in Preussen. Er umfasst mehr als
zweihundert Briefe aus der Zeit, als Euler in Berlin Direktor der
Mathematischen Klasse der preussischen Akademie der Wissenschaften
war und engen Kontakt zur Petersburger Akademie der Wissenschaften
pflegte. Abgesehen von drei lateinischen Briefen, die von den
Herausgebern ubersetzt wurden, sind alle Briefe in deutscher
Sprache abgefasst. Die Briefpartner waren in der Zeit ihrer
Korrespondenz mit Euler zwischen 20 und 60 Jahre alt. Viele der
jungeren beschreiben ihre berufliche Situation und bitten Euler um
Empfehlungen und Protektion, wahrend altere auch technische und
mathematische Probleme eroertern und sich dabei als durchaus
ebenburtige Partner erweisen. Dazu kommen Verhandlungen im
Zusammenhang mit der Besetzung von Professorenstellen, die Euler im
Auftrag Friedrichs II. fuhrte. Neben dem unmittelbaren und
anschaulichen Einblick in das akademische Leben des 18.
Jahrhunderts und speziell in die Zustande an der halleschen
Universitat bezeugen viele Briefe die Sorgen und Belastungen,
welche die Zeitumstande, insbesondere der Siebenjahrige Krieg, fur
die Bewohner der Stadt Halle mit sich brachten. This volume of the
Opera omnia contains Euler's correspondence with scientists
connected to the University of Halle, the most prestigious Prussian
university in the 18th century. It includes more than 200 letters
dating from the period when Euler served as director of the class
of mathematics of the Prussian Academy of Sciences in Berlin, yet
still remained in close contact with the Russian Academy of
Sciences in St. Petersburg. Except for three letters written in
Latin and translated into German by the editors, all the letters
were originally written in German. At the time when the
correspondents were in touch with Euler, their ages varied between
twenty and sixty years old. Many of the younger ones were
dissatisfied with their professional situation and asked Euler for
support or for letters of recommendation, whereas some of the older
correspondents discussed high-level technical and mathematical
problems as equal partners of the Berlin mathematician. Additional
letters reveal negotiations with scientists who were being
considered for university professorships by the Prussian King
Frederick II. The letters provide an immediate and vivid insight
into academic life, and in particular, into working conditions, at
the University of Halle at the time of Euler. They shed light on
the worries and hardships endured by the population of that city
during the Seven Years' War and other contemporary events.
in die Analysis des Une n d I i chen. Von Leonhard Euler. Erster
Teil. Ins Deutsche ubertragen \'Oll H. Maser. Springer-Verlag
Berlin Heidelberg GmbH 1885. Vorwort des U ebersetzers.
Meisterwerke uben ihren Einfluss auf die Fortbildung der Wissen-
schaft nicht allein durch die in ihnen niedergelegten Resultate des
forschenden Geil'ites, es lebt in ihnen eine schoepferische Kraft,
die, nie er- sterbend, immer neue Keime weckt und fort und fort bis
in die spate Ferne hinaus edle Fruchte zeitigt. Derartige
Geistesproducte, wenn sie selten werden, in ihrer ganzen Fulle ohne
Unterlass von Neuern weiteren Kreisen zuganglich zu machen, halte
ich fiir kein nutzloses Beginnen. Eben dem Zwecke soll auch die
Herausgabe der vorliegenden, ganzlich nenen Uebersetzung des ersten
Teils von Eu I er' s ", lntt-oductio in Analysin infinitoJ-um"
dienen. Diese: durch den Reichtum seine: Inhalts, durch die
Feinheit der Methoden und durch die ausserordentliche Klarheit und
Pracision der Darstellung ausgezeichnete, in arithmetischer Weise
aufgebaute -werk, welches weite Perspectiven eroeffnet, ist h!ltlt-
zutage, trotzdem oder vielleicht gerade weil fast alle neueren
Lehr- biicher aus ihm als aus einer nie versiegenden Quelle
schoepfen, schon halb in Vergcst;enheit geraten, und dies ist um so
mehr zu bedauern, als sich dem Anscheine nach die Erkenntnis
geltend macht, dass eine scharfere Bestimmung der Begriffe auch
eine weitere Entwicklung der Analysi: mit E uler' sehen
Reminiscenzen auf rein arithmetischer Grundlage ermoeglichen
durfte.
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