The Theory of Practice of Interpolation
Including Mechanical Quadrature and Other Important Problems Concerned With the Tabular Values of Functions the Requisite Tables
by Herbert L. Rice
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In preparing the following treatise the author has attempted no marked originality, either of subject matter or method. Indeed, sufficient has hitherto been written of Interpolation, Quadratures, etc., to firmly dissuade one from such an endeavor. Yet of the numerous contributions to these allied subjects, there has appeared thus far no distinct treatise covering the entire ground. As a consequence the author has repeatedly felt the need of a work which would give exclusive of other matter a simple, practical, yet comprehensive discussion of all that is useful concerning Differences, Interpolation, Tabular Differentiation and Mechanical Quadrature; a work, moreover, which would include all tables appertaining to the text which are required by a practical computer. To supply the want thus conceived, the author offers the present volume. But while viewing the matter in this practical sense, the writer regards his work as no mere compilation. Many of the processes and developments are original, so far as he is concerned, and possibly altogether new; while the same remark applies to a few of the minor results. In fact, if adverse criticism be forthcoming, it will probably result largely from the somewhat unusual or individual methods which in many instances have been employed in preference to the customary forms of analysis. On the other hand the author realizes fully the extent of his indebtedness to previous writers for valuable ideas and suggestions; and he desires especially to mention the works of Boole, Chatjvenet, Encke, Loomis, Newcomb, and Sawitsch as most valuable sources of information, to which frequent reference has been made. Concerning the bibliographical list at the close of this volume (which includes the foregoing names), it is but proper to state that references to several of the earliest writers such as Briggs, Wallis, Motjton, Cotes, Stirling, Mayer, Walmesley, Lalande have purposely been omitted because of the general inaccessibility of their works. As regards the writings of the present century, however, the author believes that all contributions of importance have been included, and trusts that any omissions of consequence hereafter detected will be regarded merely as oversights.
APA: Rice, Herbert L. (2013). The Theory of Practice of Interpolation. London: Forgotten Books. (Original work published 1899)
MLA: Rice, Herbert L. The Theory of Practice of Interpolation. 1899. Reprint. London: Forgotten Books, 2013. Print.
|1. values||2. differences||3. interpolation||4. value||5. find|
|6. table||7. series||8. formula||9. function||10. practice|
|11. obtain||12. hence||13. theory||14. example||15. functions|
|16. therefore||17. formulae||18. required||19. following||20. follows|
|21. since||22. coefficients||23. above||24. terms||25. tabular|