An Elementary Treatise on the Calculus (Classic Reprint): With Illustrations From Geometry, Mechanics and Physics - Couverture souple

Gibson, George A.

Couverture souple

ISBN 10 : 144006623X ISBN 13 : 9781440066238

Editeur : Forgotten Books, 2018

Synopsis

Explore how derivatives shape surfaces, motion, and geometry with clear, step‑by‑step explanations.

This classic text builds a bridge between calculus and geometry. It presents methods for linking first derivatives to turning values, tracing tangent planes, and analyzing how a function changes in space. With concrete examples and guided exercises, it helps readers see how calc ideas apply to real problems in multiple variables and surfaces.

• Learn the method of undetermined multipliers to locate turning values on complex functions.
• See how tangent planes and normals describe a surface at any point.
• Understand rates of variation in given directions and along different paths.
• Work through exercises that reinforce concepts with practical, visual interpretation.

Ideal for students seeking a solid, geometry‑driven understanding of calculus concepts and their applications.

A propos du livre

Présentation de l'éditeur

To meet this demand several works have been published, addressed to particular classes of students and designed to supply them with the special kind and quantity of mathematics they are supposed to need. With many of the arguments urged in favour of the change I am in hearty sympathy, but it is as true now as it was of old that there is no royal road to mathematics, and that no really useful knowledge can be gained except by strenuous effort. It is sometimes alleged that a thorough knowledge of the derivatives and integrals of the simpler powers, of the exponential and the logarithmic functions, and perhaps of the sine and the cosine, is quite sufficient preparation in the Calculus for the engineer. This contention has a solid substratum of truth; but a knowledge that goes beyond the mere ability to quote results is not to be obtained by the few lessons that are too often considered sufficient to expound these elementary rules.
(Typographical errors above are due to OCR software and don't occur in the book.)

About the Publisher

Forgotten Books is a publisher of historical writings, such as: Philosophy, Classics, Science, Religion, History, Folklore and Mythology.

Forgotten Books' Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the aged text. Read books online for free at www.forgottenbooks.org

Présentation de l'éditeur

Excerpt from An Elementary Treatise on the Calculus: With Illustrations From Geometry, Mechanics and Physics

The rapid growth in recent years of all branches of applied science and the consequent increasing claims on the time of students have given rise in various quarters to the demand for a change in the character of mathematical text-books. To meet this demand several works have been published, addressed to particular classes of students and designed to supply them with the special kind and quantity of mathematics they are supposed to need.

With many of the arguments urged in favour of the change I am in hearty sympathy, but it is as true now as it was of old that there is no royal road to mathematics, and that no really useful knowledge can be gained except by strenuous effort.

It is sometimes alleged that a thorough knowledge of the derivatives and integrals of the simpler powers, of I the exponential and the logarithmic functions, and perhaps of the sine and the cosine, is quite sufficient preparation in the Calculus for the engineer. This contention has a solid substratum of truth; but a knowledge that goes beyond the mere ability to quote results is not to be obtained by the few lessons that are too often considered sufficient to expound these elementary rules.

About the Publisher

Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 144006623X
• ISBN 13: 9781440066238
• Reliure: Broché
• Nombre de pages: 481
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