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Author : Elias Loomis
Publisher : Unknown
Page : 274 pages
File Size : 52,9 Mb
Release : 1878
Category : Calculus, Integral
ISBN : UCAL:$B528147
Author : Elias Loomis
Publisher : Unknown
Page : 296 pages
File Size : 46,6 Mb
Release : 1851
Category : Calculus
ISBN : HARVARD:32044091865592
Author : Elias Loomis
Publisher : Unknown
Page : 570 pages
File Size : 46,8 Mb
Release : 1872
Category : Calculus, Integral
ISBN : OCLC:816318668
Author : Gerardus Beekman Docharty
Publisher : Unknown
Page : 324 pages
File Size : 41,5 Mb
Release : 1865
Category : Calculus
ISBN : BL:A0018199952
Author : Gerardus Beekman Docharty
Publisher : Unknown
Page : 322 pages
File Size : 41,5 Mb
Release : 2000
Category : Electronic
ISBN : OCLC:958534682
Author : Horatio Nelson Robinson
Publisher : Unknown
Page : 348 pages
File Size : 47,7 Mb
Release : 1856
Category : Calculus
ISBN : LCCN:03020295
Author : Elias 1811-1889 Loomis
Publisher : Unknown
Page : 270 pages
File Size : 42,7 Mb
Release : 2016-08-25
Category : History
ISBN : 1362027782
Author : Horatio Nelson Robinson
Publisher : Forgotten Books
Page : 356 pages
File Size : 45,8 Mb
Release : 2017-10-22
Category : Electronic
ISBN : 0266607381
Excerpt from Elements of Analytical Geometry, and the Differential and Integral Calculus The integral calculus is the converse of the differential, somewhat as the cube root is the converse operation of cubing the root. It is more difficult to find the cube root of a number than it is to cube the root, but still the ene operation is the converse of the other, and the one is not directly obvious from the other. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : Elias Loomis
Publisher : Unknown
Page : 298 pages
File Size : 46,6 Mb
Release : 1868
Category : Calculus
ISBN : OCLC:427504224
Author : Elias Loomis
Publisher : Forgotten Books
Page : 298 pages
File Size : 43,6 Mb
Release : 2018-04-23
Category : History
ISBN : 0331929570
Excerpt from Elements of Analytical Geometry and of the Differential and Integral Calculus The following treatise on Analytical Geometry and the Cal culus constitutes the fourth volume of a course of Mathematics designed for Colleges and High Schools, and is prepared upon substantially the same model as the preceding volumes. It was written, not for mathematicians, nor for those who have a pe culiar talent or fondness for the mathematics, but rather for the mass of college students of average abilities. I have, there fore, labored to smooth down the asperities of the road so as not to discourage travelers of moderate strength and courage; but have purposely left some difficulties, to arouse the energies and strengthen the faculties of the beginner. In a course of liberal education, the primary object in studying the mathe maties should be the discipline of the mental powers. This discipline is alike important to the physician and the divine, the jurist and the statesman, and it is more effectually secured by mathematical studies than by any other method hitherto proposed. Hence the mathematics should occupy a prominent place in an education preparatory to either of the learned pro fessions. But, in order to secure the desired advantage, it is indispensable that the student should comprehend the reasons of the processes through which he is conducted. How can he be expected to learn the art of reasoning well, unless he see clearly the foundations of the principles which are taught? This remark applies to every branch of mathematical study, but perhaps to none with the same force as to the Differential and Integral Calculus. The principles of the Calculus are fur ther removed from the elementary conceptions of the mass of mankind than either Algebra, Geometry, or Trigonometry, and they require to be developed with corresponding care. It is quite possible for a student to learn the rules of the Calculus. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : Elias Loomis
Publisher : Forgotten Books
Page : 298 pages
File Size : 46,7 Mb
Release : 2015-06-14
Category : Mathematics
ISBN : 1330062884
Excerpt from Elements of Analytical Geometry and of the Differential and Integral Calculus The following treatise on Analytical Geometry and the Calculus constitutes the fourth volume of a course of Mathematics designed for Colleges and High Schools, and is prepared upon substantially the same model as the preceding volumes. It was written, not for mathematicians, nor for those who have a peculiar talent or fondness for the mathematics, but rather for the mass of college students of average abilities. I have, therefore, labored to smooth down the asperities of the road so as not to discourage travelers of moderate strength and courage; but have purposely left some difficulties, to arouse the energies and strengthen the faculties of the beginner. In a course of liberal education, the primary object in studying the mathematics should be the discipline of the mental powers. This discipline is alike important to the physician and the divine, the jurist and the statesman, and it is more effectually secured by mathematical studies than by any other method hitherto proposed. Hence the mathematics should occupy a prominent place in an education preparatory to either of the learned professions. But, in order to secure the desired advantage, it is indispensable that the student should comprehend the reasons of the processes through which he is conducted. How can he be expected to learn the art of reasoning well, unless he see clearly the foundations of the principles which are taught? This remark applies to every branch of mathematical study, but perhaps to none with the same force as to the Differential and Integral Calculus. The principles of the Calculus are further removed from the elementary conceptions of the mass of mankind than either Algebra, Geometry, or Trigonometry, and they require to be developed with corresponding care. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.
Author : Horatio N. (Horatio Nelson) 1. Robinson
Publisher : Unknown
Page : 364 pages
File Size : 49,7 Mb
Release : 2016-08-25
Category : History
ISBN : 1362029394
Author : Gerardus Beekman Docharty
Publisher : Createspace Independent Publishing Platform
Page : 306 pages
File Size : 54,5 Mb
Release : 2016-11-19
Category : Electronic
ISBN : 1540527999
From the PREFACE . THE following treatise on the Elements of Analytical Geometry and the Differential and Integral Calculus is the result of long experience in educating young men. It is, in fact, the substance of that which the Author has taught in the Free Academy for several years; and one great object in bringing it before the scientific instructors of our country is an endeavor, on his part, to render the student's path, particularly through the Calculus, as smooth, and plain, and easy as the nature of that science will admit. The Author well knows that a correct system of ' education requires constant mental effort on the part of the student who aspires to be a thorough scholar, and that a subject which is simplified too much in a text-book becomes unfitted for the object for which it was intended-namely, to enlarge and strengthen the powers of the mind. But he thinks that this fault can scarcely occur in any treatise on the "Theory of the Variation of Variables and their Functions," a science which, under the most favorable light that can be thrown upon it, is sufficiently obscure for the mind, at the early age in which the young men of this country begin the study of it. It will be seen that the Author has used the old symbols exclusively, and that he has confined his system to the Method of Limits. He has done this, not on account of any partiality he feels for that system, for the Infinitesimal Method generally reaches the conclusions in a far less time and a much shorter space, but solely from his belief that the former is better adapted to the great purpose-of teaching, and that it has a greater tendency to draw out the energies of the stu dent, expand his genius, invigorate his thoughts, and impart a keener perception to his intellectual powers. In discussing the Ellipse and Hyperbola together, the Author has followed the example of several eminent writers on Analytics. In this, as also in the method he has adopted in the discussion of the circle and the transformation of co-ordinates, and elsewhere, he has been enabled to reduce the Treatise to its minimum size without the omission of a single essential proposition. In the recitation-room, perhaps it would be better for one student to take the proposition in reference to the ellipse, while another student takes the same for the hyperbola; in this way the number of examples becomes doubled. With these prefatory remarks, the volume is respectfully submitted to the learned and scientific gentlemen who are engaged in teaching those useful and important branches of pure Mathematics. They will find it precisely what it purports to be-nothing more and nothing less - a Treatise on the Elements of Analytics and the Differential and Integral Calculus, prepared at the request, and for the use of the students in the New York Free Academy, but equally adapted to the instruction given in our colleges and other seminaries of learning.
Author : Simon Newcomb
Publisher : Unknown
Page : 330 pages
File Size : 55,6 Mb
Release : 1887
Category : Calculus
ISBN : HARVARD:32044000186171
Author : George Brinton Thomas (Jr.),Ross L. Finney
Publisher : Unknown
Page : 708 pages
File Size : 48,9 Mb
Release : 1981
Category : Calculus
ISBN : 0201076640