Author | Euler. author |
---|---|
Title | Introduction to Analysis of the Infinite [electronic resource] : Book I / by Euler |
Imprint | New York, NY : Springer New York : Imprint: Springer, 1988 |
Connect to | http://dx.doi.org/10.1007/978-1-4612-1021-4 |
Descript | XV, 327 p. online resource |
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