A practical, visual path from intuition to calculus
This guide helps technical students build a solid understanding of calculus through plotting, graphic checks, and stepwise reasoning before formal proofs.
The book emphasizes an intuitional start—using graphs and simple calculations—to establish functions, rates of increase, and integration. It then introduces analytical methods, showing how ideas connect to mechanics, electricity, and real-world problems. A flexible design lets learners focus on topics that interest them, with chapters on logarithms, trigonometry, differentiation, and definite and indefinite integrals presented in a patient, accessible way."Sinopsis" puede pertenecer a otra edición de este libro.
Excerpt from A Course in Practical Mathematics
Objection is sometimes raised to the methods of practical mathematics, on the ground that mathematics is not an experimental science. This is true; but mathematics is built up from a system of conventions which are not arbitrary, but chosen with reference to experience. Thus it is both logically and educationally necessary that the beginner in any branch of mathematics should have the corresponding part of his experience clearly realized and defined.
This has been recognized in the now generally accepted view that the study of geometry should begin with a course of experimental measurement. It is the object of the treatment followed in this book to extend the same method to some other branches of mathematics with special reference to the needs of the technical student.
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Paperback. Condición: New. Print on Demand. This book is an extensive guide to the use of practical mathematics, including the topics of logarithms and trigonometry. The author's approach is to cover the topic of trigonometry using many graphic and arithmetic methods, allowing the reader a more intuitive approach to the subject. The author also takes into account that most students are more familiar with the study of geometry than algebra upon beginning trigonometry. This practical methodology is applied to each chapter, including: logarithmic functions, rates of increase, differentiation, equations and identities, integration, vector algebra, solid geometry, centers of gravity, moments of inertia, and partial differentiation. The author also includes miscellaneous methods of integration and differential equations of applied physics, ensuring that students are able to apply their knowledge to other areas of study. By the end of the book, readers will have a deeper understanding of practical mathematics, as well as its applications in science, engineering, and other fields. 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. Nº de ref. del artículo: 9781330084274_0
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