Items related to Elements of the Differential Calculus: With Index (Classic...
Synopsis
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 t...
"synopsis" may belong to another edition of this title.
- PublisherForgotten Books
- Publication date2017
- ISBN 10 1330011279
- ISBN 13 9781330011270
- BindingPaperback
- LanguageEnglish
- Number of pages186
Buy New
View this item
US$ 17.72
FREE shipping from United Kingdom to U.S.A.
Destination, rates & speedsOther Popular Editions of the Same Title
Search results for Elements of the Differential Calculus: With Index (Classic...
Seller Image
Elements of the Differential Calculus: With Index (Classic Reprint)
Print on DemandSeller: Forgotten Books, London, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: New. Print on Demand. This book takes a step-by-step approach to introducing the fundamental principles of differential calculus. It covers topics such as algebraic and transcendental functions, logarithmic and exponential equations, trigonometry, inverse functions, and more. By adopting a practical orientation toward the topic, the author elucidates concepts through the use of clear and concise definitions and examples. The text is designed to provide readers with a solid understanding of differential calculus and its applications to a variety of mathematical and physical problems. The author's careful explanations and the inclusion of exercises throughout help readers grasp otherwise abstract concepts. This book is a valuable resource for students, practitioners, and anyone looking to expand their knowledge of calculus. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Seller Inventory # 9781330011270_0
Quantity: Over 20 available
Stock Image
Elements of the Differential Calculus With Index Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330011270
Quantity: 15 available
Stock Image
Elements of the Differential Calculus With Index Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 4 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330011270
Quantity: 15 available