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The Elements of the Differential Calculus: Comprehending the General Theory of Curve Surfaces, and of Curves of Double Curvature; Intended for the Use ... in Schools and Universities (Classic Reprint) - Softcover

 
9781330060766: The Elements of the Differential Calculus: Comprehending the General Theory of Curve Surfaces, and of Curves of Double Curvature; Intended for the Use ... in Schools and Universities (Classic Reprint)

Synopsis

Excerpt from The Elements of the Differential Calculus: Comprehending the General Theory of Curve Surfaces, and of Curves of Double Curvature; Intended for the Use of Mathematical Students in Schools and Universities

The Fourth Chapter is on Taylor's theorem, which makes known the actual development of the function f (a: it) according to the form established in the second chapter. From this theorem are de rived commodious expressions for the total differential coefficient when the function is complicated, and whether its form be explicit or implicit; the whole being illustrated by a variety of examples.

The Fifth Chapter contains the complete theory of vanishing frac tions.

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ISBN 10: 1330060768 ISBN 13: 9781330060766
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Paperback. Condition: New. Print on Demand. This book introduces the principles of differential calculus, guiding readers through a range of compelling applications in areas such as geometry and physics. The author provides a strong theoretical background before delving into the numerous ways in which the subject can be applied, examining concepts such as the radius of curvature and osculation, along with many other intriguing ideas. By presenting the subject in a clear and engaging way, the author helps readers not only to fully understand the theoretical principles of differential calculus but to appreciate its beauty and widespread applicability. While many books on the subject focus on formulas and summations, this book emphasizes the underlying concepts and principles that allow these formulas to be derived, offering a deeper understanding of the subject than many introductory texts. 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 # 9781330060766_0

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