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A Text-Book of Differential Calculus: With Numerous Worked Out Examples (Classic Reprint) - Softcover
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In this work it has been my aim to lay before students a strictly rigorous and, at the same time, simple exposition of the Differential Calculus and its chief applications. The present volume is intended for beginners and is so designed as to meet the requirements of Part I. of the Cambridge Mathematical Tripos Examination, and of the Examinations for the B.A. and B.Sc. degrees of Indian Universities.
The chief characteristics of the present work may be indicated as follows: - (1) The fundamental principles of the Differential Calculus have been based on a purely arithmetical foundation. Thus, the various theorems have been carefully enunciated and their proofs have been made quite independent of geometrical intuition. In this connection, I may specially mention the chapters on Rolle's Theorem and Taylor's Theorem, Maxima and Minima, and Indeterminate Forms. (2) Almost every article is followed by worked out examples, specially suited for illustrating the article. There are also numerous exercises in every chapter. (3) A special chapter deals with curve-tracing and the important properties of the best-known curves. (4) The order in which the chapters are arranged is intended to enable the beginner to study the simple geometrical applications of the Differential Calculus immediately after he has learnt differentiation.
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- PublisherForgotten Books
- Publication date2018
- ISBN 10 1330269330
- ISBN 13 9781330269336
- BindingPaperback
- LanguageEnglish
- Number of pages180
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A Text-Book of Differential Calculus: With Numerous Worked Out Examples
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Paperback. Condition: New. Print on Demand. This book expounds on the fundamental principles of differential calculus and its chief applications, equipping beginners with a solid foundation in the subject. Written by the esteemed Professor Ganes B.A. (Cantab.), this volume traces the history of differential calculus, building upon the works of earlier mathematicians such as Newton and Leibnitz, who laid the groundwork for this branch of mathematics. The author presents a comprehensive exploration of the main ideas of differential calculus, beginning with conceptual explanations enhanced by worked-out examples to aid understanding. Key concepts such as limits, continuity, the derivative, and their applications to curve sketching, maxima, minima, and indeterminate forms are thoroughly examined. This book distinguishes itself by its rigorous and accessible approach, providing a clear and structured introduction to differential calculus. Whether you are a student seeking to master the basics of calculus or an enthusiast looking to expand your mathematical knowledge, this volume offers a gateway into understanding the intricacies of differential calculus and its profound impact on mathematics and beyond. 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 # 9781330269336_0
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A TextBook of Differential Calculus With Numerous Worked Out Examples Classic Reprint
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A Text-Book of Differential Calculus : With Numerous Worked Out Examples (Classic Reprint)
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Condition: Sehr gut. Zustand: Sehr gut - Gepflegter, sauberer Zustand. | Seiten: 182 | Sprache: Englisch | Produktart: Bücher. Seller Inventory # 25711354/2
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