Office of Academic Resources
Chulalongkorn University
Chulalongkorn University

Home / Help

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

SUMMARY

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..."


CONTENT

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


Mathematics Functions of real variables Mathematics Real Functions



Location



Office of Academic Resources, Chulalongkorn University, Phayathai Rd. Pathumwan Bangkok 10330 Thailand

Contact Us

Tel. 0-2218-2929,
0-2218-2927 (Library Service)
0-2218-2903 (Administrative Division)
Fax. 0-2215-3617, 0-2218-2907

Social Network

  line

facebook   instragram