Inhaltsangabe
Excerpt from Differential and Integral Calculus
The present volume is the outgrowth of the requirements for students in engineering and science in Cornell University, for whom a somewhat brief but adequate introduction to the Calculus is prescribed.
The guiding principle in the selection and presentation of the topics in the following pages has been the ever increasing pressure on the present-day curriculum, especially in applied science, to limit the study of mathematics to a minimum of time and to the topics that are deemed of most immediate use to the professional course for which it is preparatory.
To what extent it is wise and justifiable to yield to this pressure it is not our purpose to discuss. But the constantly accumulating details in every pure and applied science makes this attitude a very natural one towards mathematics, as well as towards several other subjects which are subsidiary to the main object of the given course.
This desire to curtail mathematical training is strikingly evidenced by the numerous recent books treating of Calculus for engineers, for chemists, or for various other professional students. Such books have no doubt served a useful purpose in various ways. But we are of the opinion that, in spite of the unquestioned advantages of learning a new method by means of its application to a specific field, a student would ordinarily acquire too vague and inaccurate a command of the fundamental ideas of the Calculus by this one-sided presentation.
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Differential and Integral Calculus (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. This book provides a comprehensive guide to the fundamental principles of differential and integral calculus. The author delves into the key concepts, such as limits, derivatives, and integrals, presenting them in a rigorous and accessible manner. The text is grounded in the historical development of calculus, exploring the evolution of these ideas from their origins in the 17th century. The author goes beyond mere definitions and formulas, offering insightful explanations of the underlying logic and applications of each concept. The book explores the interconnected nature of differential and integral calculus, showcasing how these powerful tools can be used to solve problems in various fields, including geometry, physics, and engineering. Through clear examples and detailed explanations, the author illuminates the essential role of calculus in understanding and modeling the world around us. 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 9781440084911_0
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