Sinossi
Master the art of integrating tricky functions with a systematic approach, using hyperbolic and circular functions together.
This concise pamphlet is designed as a practical supplement for mathematical students studying the integral calculus. It explains a method that aims to make integration more systematic and reliable, especially when hyperbolic functions appear alongside ordinary trigonometric functions. The material emphasizes how these ideas can be applied to real problems, including examples drawn from Cambridge examination papers, to help readers write down results more confidently.
- Learn a general approach to integrating a wide class of algebraic, trigonometric, exponential, and hyperbolic functions.
- See how to rationalize denominators and reduce complex fractions to simpler forms.
- Master partial fractions, substitutions, and reductions that simplify challenging integrals.
- Practice with worked examples and numerical exercises that reinforce the concepts.
Ideal for readers of advanced calculus, engineering math, and students seeking a clearer, more systematic path through the integral calculus.
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A Chapter in the Integral Calculus (Classic Reprint)
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Paperback. Condizione: New. Print on Demand. This book introduces hyperbolic functions to demonstrate how integration can be made more systematic and predictable, enabling the reader to write down the result of integration immediately upon seeing the function to be integrated. It delves into the principal properties of these functions, using examples to illustrate their importance in applied mathematics. The book extends the methods of integration beyond algebraical, circular, exponential, and logarithmic functions, into the realm of hyperbolic functions. The author introduces concepts of elliptic and none-elliptic integrals, and demonstrates how they can be reduced to functions of the second degree, at most, by suitable substitutions. The book concludes by discussing the rectification of curves, and the application of Abel's theorem and the general integral to this problem, providing a comprehensive treatment of integration that will prove invaluable to mathematical students. 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. Codice articolo 9781332748297_0
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A Chapter in the Integral Calculus Classic Reprint
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781332748297
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A Chapter in the Integral Calculus Classic Reprint
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PAP. Condizione: New. New Book. Shipped from UK. Established seller since 2000. Codice articolo LW-9781332748297
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