The Integration of Functions of a Single Variable, Vol. 2 (Classic Reprint) - Softcover

G. H. Hardy

 
9781330308271: The Integration of Functions of a Single Variable, Vol. 2 (Classic Reprint)

Synopsis

This book is a comprehensive guide to integrating functions of a single variable. It is written with the student in mind and aims to provide a systematic and straightforward approach to this fundamental area of the Calculus. The author begins by introducing the basic concepts of the Integral Calculus and then proceeds to discuss the integration of rational functions, showing how to express them as sums of partial fractions. The book explores various methods of integration, including integration by substitution and by parts, and explains how to integrate transcendental functions such as trigonometric and exponential functions. The author also examines the integration of functions that cannot be expressed in elementary terms and introduces the concept of elliptic integrals, which are used to solve problems in areas such as astronomy and physics. Throughout the book, the author provides numerous solved examples and exercises to help the reader master the techniques of integration. This book is essential reading for students of mathematics, engineering, and physics who wish to deepen their understanding of the Integral Calculus. It is also a valuable resource for professionals who use integration in their work.

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