Excerpt from Differential and Integral Calculus
In the treatment of each topic, the text is intended to contain a precise statement of the fundamental principle involved, and to insure the student's clear understanding of this principle, Without distracting his attention by the discussion of a multitude of details. The accompanying exercises are intended to present the problem in hand in a great variety of forms and guises, and to train the stu dent in adapting the general methods of the text to fit these various forms. The constant aim is to prevent the work from degenerating into mere mechanical routine, as it so often tends to do. Wherever possible, except in the purely formal parts of the course, the summarizing of the theory into rules or formulas which can be applied blindly has been avoided. For instance, in the chapter on geo metric applications of the definite integral, stress is laid on the fact that the basic formulas are those of elemen tary geometry, and special formulas involving a coordinate system are omitted.
Where the passage from theory to practice would be too difficult for the average student, worked examples are inserted.
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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.
"Sinopsis" puede pertenecer a otra edición de este libro.
Excerpt from Differential and Integral Calculus
In the treatment of each topic, the text is intended to contain a precise statement of the fundamental principle involved, and to insure the student's clear understanding of this principle, Without distracting his attention by the discussion of a multitude of details. The accompanying exercises are intended to present the problem in hand in a great variety of forms and guises, and to train the stu dent in adapting the general methods of the text to fit these various forms. The constant aim is to prevent the work from degenerating into mere mechanical routine, as it so often tends to do. Wherever possible, except in the purely formal parts of the course, the summarizing of the theory into rules or formulas which can be applied blindly has been avoided. For instance, in the chapter on geo metric applications of the definite integral, stress is laid on the fact that the basic formulas are those of elemen tary geometry, and special formulas involving a coordinate system are omitted.
Where the passage from theory to practice would be too difficult for the average student, worked examples are inserted.
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.
This book presents a first course in the calculus substantially as the author has taught it at the University of Michigan for a number of years. The following points may be mentioned as more or less prominent features of the book.
In the treatment of each topic, the text is intended to contain a precise statement of the fundamental principle involved, and to insure the student's clear understanding of this principle, without distracting his attention by the discussion of a multitude of details. The accompanying exercises are intended to present the problem in hand in a great variety of forms and guises, and to train the student in adapting the general methods of the text to fit these various forms. The constant aim is to prevent the work from degenerating into mere mechanical routine, as it so often tends to do. Wherever possible, except in the purely formal parts of the course, the summarizing of the theory into rules or formulas which can be applied blindly has been avoided. For instance, in the chapter on geometric applications of the definite integral, stress is laid on the fact that the basic formulas are those of elementary geometry, and special formulas involving a coordinate system are omitted.
Where the passage from theory to practice would be too difficult for the average student, worked examples are inserted.
Tags: curve equation ans function sin cos plane functions line integral axis calculus limit log equations differential hence surface terms tangent
Category: Mathematics - Calculus
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"Sobre este título" puede pertenecer a otra edición de este libro.
Librería: Forgotten Books, London, Reino Unido
Paperback. Condición: New. Print on Demand. This book sparks interest in calculus by refreshing the reader's algebra skills and then applying those skills to solving more complex functions. Starting with a basic discussion of the properties of functions and their graphs, the book progresses to topics like limits, the derivative, and the integral. The author includes an investigation of higher derivatives and uses the idea of maximizing and minimizing a function to help the reader explore curve characteristics. This book would be a valuable addition to any learner's library as they explore the concepts of calculus. It is well recommended to those who have a good grasp of algebra and a desire to develop a solid understanding 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. Nº de ref. del artículo: 9781440086175_0
Cantidad disponible: Más de 20 disponibles
Librería: PBShop.store US, Wood Dale, IL, Estados Unidos de America
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781440086175
Cantidad disponible: 15 disponibles
Librería: PBShop.store UK, Fairford, GLOS, Reino Unido
PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781440086175
Cantidad disponible: 15 disponibles