Binomial Theorem and Logarithms (Classic Reprint)

William Chauvenet

ISBN 10: 0282996133 / ISBN 13: 9780282996130

Editore: Forgotten Books, 2018

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Print on Demand. This book delves into the fascinating realm of algebra, specifically focusing on the binomial theorem and logarithms. The author takes readers on a journey through the fundamental principles of powers, roots, and exponents, building a solid foundation for understanding these complex concepts. Set against the backdrop of 19th-century mathematical advancements, the book introduces readers to the historical quest for a simple yet comprehensive demonstration of the binomial theorem. The author presents a clear and concise explanation of this theorem, drawing upon the principles of differential calculus and adapting them to the language of algebra. Exploring the intricacies of logarithms, the book delves into their derivation and practical applications. Readers will discover various formulas for transforming logarithmic expressions, enhancing their ability to manipulate and solve mathematical problems. Ultimately, this book provides valuable insights into the power and versatility of the binomial theorem and logarithms, revealing their profound impact on various fields of study, including navigation and mathematics as a whole. 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.

Codice articolo 9780282996130_0

Dati bibliografici

• Titolo: Binomial Theorem and Logarithms (Classic Reprint)
• Editore: Forgotten Books
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 0282996133
• ISBN 13: 9780282996130
• Rilegatura: Paperback
• Condizione: New
• Tipo di libro: print-on-demand item
• Cataloghi dei venditori:
  • Algebra

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Riassunto

Excerpt from Binomial Theorem and Logarithms

A rigid demonstration of the Binomial Theorem, at once simple and su?iciently elementary, has been much sought for by mathe maticians. The one here given depends upon a principle which is the foundation of the Differential Calculus, and is in fact little else than a translation of the very simple demonstration afforded by that science into the elementary language of Algebra. It is essen tially the same as that given by bourdon, (algébre, cd. 1837, Paris,) and by Professor peirce of Harvard University, in his excellent treatise upon Algebra. The latter, however, has not extended the demonstration to the cases in which the exponent is negative or fractions].