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140122 ||| eng |
| 020 |
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|a 9781461210214
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| 100 |
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|a Euler, Leonhard
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| 245 |
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|a Introduction to Analysis of the Infinite
|h Elektronische Ressource
|b Book I
|c by Leonhard Euler
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| 250 |
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|a 1st ed. 1988
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| 260 |
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|a New York, NY
|b Springer New York
|c 1988, 1988
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| 300 |
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|a XV, 327 p
|b online resource
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| 505 |
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|a I. On Functions in General -- II. On the Transformation of Functions -- III. On the Transformation of Functions by Substitution -- IV. On the Development of Functions in Infinite Series -- V. Concerning Functions of Two or More Variables -- VI. On Exponentials and Logarithms -- VII. Exponentials and Logarithms Expressed through Series -- VIII. On Transcendental Quantities Which Arise from the Circle -- IX. On Trinomial Factors -- X. On the Use of the Discovered Factors to Sum Infinite Series -- XI. On Other Infinite Expressions for Arcs and Sines -- XII. On the Development of Real Rational Functions -- XIII. On Recurrent Series -- XIV. On the Multiplication and Division of Angles -- XV. On Series Which Arise from Products -- XVI. On the Partition of Numbers -- XVII. Using Recurrent Series to Find Roots of Equations -- XVIII. On Continued Fractions
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| 653 |
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|a Functions of real variables
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| 653 |
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|a Real Functions
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| 041 |
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|a eng
|2 ISO 639-2
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| 989 |
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|b SBA
|a Springer Book Archives -2004
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| 856 |
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|u https://doi.org/10.1007/978-1-4612-1021-4?nosfx=y
|x Verlag
|3 Volltext
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| 082 |
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|a 515.8
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| 520 |
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|a 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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