Introduction to Analysis of the Infinite : Book I / by Leonhard Euler
| データ種別 | 電子書籍 |
|---|---|
| 版 | 1st ed. 1988. |
| 出版者 | New York, NY : Springer New York : Imprint: Springer |
| 出版年 | 1988 |
書誌詳細を非表示
| 書誌ID | OB01019346 |
|---|---|
| 本文言語 | 英語 |
| 一般注記 | 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. License restrictions may limit access 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..." |
| 著者標目 | *Euler, Leonhard SpringerLink (Online service) |
| 件 名 | LCSH:Functions of real variables FREE:Real Functions |
| 分 類 | LCC:QA331.5 DC23:515.8 |
| 巻冊次 | ISBN:9781461210214 RefWorks出力（各巻） print ; ISBN:9781461269885 RefWorks出力（各巻） print ; ISBN:9780387968247 RefWorks出力（各巻） print ; ISBN:9781461210221 RefWorks出力（各巻） |
| 資料種別 | 機械可読データファイル |
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※2020年8月16日以降