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Author: Wesley Stoker Barker Woolhouse
Publisher:
ISBN:
Category :
Languages : en
Pages : 208
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Book Description
Author: Wesley Stoker Barker Woolhouse
Publisher:
ISBN:
Category :
Languages : en
Pages : 208
Get Book Here
Book Description
Author: Wesley Stokes Baker Woolhouse
Publisher:
ISBN:
Category : Differential calculus
Languages : en
Pages : 184
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Book Description
Author: Wesley Stokes Baker Woolhouse
Publisher: Forgotten Books
ISBN: 9781528142953
Category : Mathematics
Languages : en
Pages : 184
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Book Description
Excerpt from Elements of the Differential Calculus: With Index ON first commencing to read the Differential Calculus, a subject which opens a wide field of analytical research, the student enters upon an entirely new system of thought. In his previous investigations he has always been accustomed to consider quantities, whether known or unknown, as having some fixed or determinate value; he has now to conceive the values of certain quantities to undergo continuous changes, and to operate upon these changes with new symbols and new processes, which in themselves have but a remote analogy to ordinary Algebra. 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: Wesley Stokes Baker Woolhouse
Publisher: Forgotten Books
ISBN: 9781330011270
Category : Mathematics
Languages : en
Pages : 184
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Book Description
Excerpt from Elements of the Differential Calculus: With Index On first commencing to read the Differential Calculus, a subject which open a wide field of analytical research, the student enters upon an entirely new system of thought. In his previous investigations he has always been accustomed to consider quantities, whether known or unknown, as having some fixed or determinate value; he has now to conceive the values of certain quantities to undergo continuous changes, and to operate upon these changes with new symbols and new processes, which in themselves have but a remote analogy to ordinary Algebra. When two quantities, thus continuously variable, are connected by an analytical equation, and their values are therefore mutually dependent on each other, and they are supposed to be affected by simultaneous changes, it is evident that the increments will also be connected by some corresponding analytical relation. The primary object of the Calculus is to establish general methods of investigating the nature and properties of such relations when the changes or increments are supposed to be small. To effect this, it is first requisite to trace the successive values of the ratio subsisting between two increments, when the increments themselves are supposed to continuously decrease in magnitude, and to determine the limiting value of this ratio when they ultimately become infinitesimals. This ultimate or limiting valae is, in fact, that which represents the ratio when the increments are supposed absolutely to vanish, and it is completely defined and accurately determined by referring the successive values to the recognized law of continuity. The operation here described is the true foundation of the Calculus, and the condition of continuity, especially insisted upon in the present treatise, entirely removes from the limiting value that obscure and indeterminate character which otherwise forms an insuperable obstacle to a proper comprehension of the first principles. We recommend the student to make himself familiar with the methods of limiting ratios and infinitesimals. The theory of Infinitesimals is literally that of the Differential Calculus, and the principal law which regulates this theory is directly inferred from the method of limiting ratios. The two methods are indeed virtually but modifications of the same idea. 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: Wesley Stoker Barker Woolhouse
Publisher:
ISBN:
Category : Differential calculus
Languages : en
Pages : 176
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Book Description
Author: Wesley Stoker Barker Woolhouse
Publisher:
ISBN:
Category :
Languages : en
Pages : 198
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Book Description
Author: Wesley Stoker Barker Woolhouse
Publisher:
ISBN:
Category :
Languages : en
Pages : 176
Get Book Here
Book Description
Author: Wesley Stoker Barker Woolhouse
Publisher:
ISBN:
Category : Differential calculus
Languages : en
Pages : 164
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Book Description
Author: Lynn Harold Loomis
Publisher: World Scientific Publishing Company
ISBN: 9814583952
Category : Mathematics
Languages : en
Pages : 595
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Book Description
An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.
Author: Wesley Stokes Baker Woolhouse
Publisher: Sagwan Press
ISBN: 9781296934897
Category :
Languages : en
Pages : 170
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Book Description
This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
