|
|
|
|
LEADER |
02321nmm a2200253 u 4500 |
001 |
EB000618417 |
003 |
EBX01000000000000000471499 |
005 |
00000000000000.0 |
007 |
cr||||||||||||||||||||| |
008 |
140122 ||| eng |
020 |
|
|
|a 9781461210214
|
100 |
1 |
|
|a Euler, Leonhard
|
245 |
0 |
0 |
|a Introduction to Analysis of the Infinite
|h Elektronische Ressource
|b Book I
|c by Leonhard Euler
|
250 |
|
|
|a 1st ed. 1988
|
260 |
|
|
|a New York, NY
|b Springer New York
|c 1988, 1988
|
300 |
|
|
|a XV, 327 p
|b online resource
|
505 |
0 |
|
|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
|
653 |
|
|
|a Functions of real variables
|
653 |
|
|
|a Real Functions
|
041 |
0 |
7 |
|a eng
|2 ISO 639-2
|
989 |
|
|
|b SBA
|a Springer Book Archives -2004
|
856 |
4 |
0 |
|u https://doi.org/10.1007/978-1-4612-1021-4?nosfx=y
|x Verlag
|3 Volltext
|
082 |
0 |
|
|a 515.8
|
520 |
|
|
|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..."
|