Inhaltsangabe
Excerpt from Differential and Integral Calculus
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.
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Differential and Integral Calculus (Classic Reprint)
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Paperback. Zustand: 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. Bestandsnummer des Verkäufers 9781440086175_0
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Differential and Integral Calculus Classic Reprint
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Zustand: New. KlappentextrnrnExcerpt from Differential and Integral CalculusIn 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 t. Bestandsnummer des Verkäufers 2148538185
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