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Introduction to Analysis of the Infinite: Book I (Books 1) Books
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Binding: Hardcover
Dewey Decimal Number: 515.243
EAN: 9780387968247
Edition: 1
ISBN: 0387968245
Label: Springer
Manufacturer: Springer
Number Of Items: 1
Number Of Pages: 348
Publication Date: September 21, 1988
Publisher: Springer
Studio: Springer






Editorial Review:

Product Description:
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..."



Customer Reviews
Average Rating:  out of 5 stars

Rating: 4 out of 5 stars - Extraordinary and accessible work
This is a seminal text by one of history's greatest mathematicians. Unique to his great mathematical peers, Euler was also an extraordinary teacher and expositor. His enthusiasm and genius pour through the pages of this book, with Euler making his characteristically bold and ingenious symbolic arguments to come up with many of the well known formulas that were probably mentioned in your math class. For example, Euler brilliantly uses basic algebra (plus infinitesimals) to come up with some very ... Read More



Rating: 5 out of 5 stars - Title of the Translation
The title of the translation is wrong. Anyone who wrote (or writes) in Latin is well aware that the ending -orum is genitive plural, not singular. Clearly, therefore, Euler did mean his book title to read 'Introduction to the Analysis of Infinities.' In effect, the translator says that he changed this, because it doesn't accord with modern mathematics. That is, the plural term 'infinities' is archaic. All current mathematicians (who have looked into the matter) accept that not all infinities ... Read More



Rating: 5 out of 5 stars - Review
John D. Blanton did a good job in translating Euler's work on analysis of the infinite. Although I did not read the original copy the book, I could still receive the charm of Euler from the translation. Euler wrote this book because he realized that many mathematics students were lacking of the knowledge of analysis of the infinite. He, as a great master of mathematics and educator and with all his passion, presented this timeless masterpiece to all of us. I recommend this book to every ... Read More





 

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