Binomial Theorem and Logarithms (Classic Reprint): For the Use of the Midshipmen at the Naval School, Philadelphia: For the Use of the Midshipmen at the Naval School, Philadelphia (Classic Reprint) - Tapa blanda

Chauvenet, William

 
9780282996130: Binomial Theorem and Logarithms (Classic Reprint): For the Use of the Midshipmen at the Naval School, Philadelphia: For the Use of the Midshipmen at the Naval School, Philadelphia (Classic Reprint)

Sinopsis

Master the foundations of algebra with a practical naval edge. This classic, secondary‑level treatise leads you through powers, roots, exponents, and the Binomial Theorem, with clear, example‑driven explanations tailored for midshipmen and students alike.

The book frames essential ideas in a compact, accessible style, tracing how powers and roots relate, and how logarithms can simplify multiplication and division. It blends theory with concrete problems, including transformations, fractional exponents, and polynomial work, all built toward practical navigation and mathematical fluency.



Structured to build competence before tackling advanced topics, it covers the Binomial Theorem, its proofs, and varied applications. It also presents the use and construction of logarithms, their properties, and methods for calculating. The text emphasizes step‑by‑step reasoning and hands‑on practice through examples and exercises.




  • Clear explanations of powers, roots, and exponents, with practical examples.

  • Rigorous treatment of the Binomial Theorem and its diverse cases, including fractional exponents.

  • Introduction to logarithms, their properties, and methods for computation.

  • Applications and exercises designed to reinforce theory through real‑world problems.



Ideal for readers who want a solid, time‑tested foundation in algebra and an accessible bridge to navigation‑oriented mathematics.

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Reseña del editor

Excerpt from Binomial Theorem and Logarithms: For the Use of the Midshipmen at the Naval School, Philadelphia

A rigid demonstration of the Binomial Theorem, at once simple and sufliciently 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].

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