Graphical Calculus (Classic Reprint) - Couverture souple

Gottschalk, Alfred L. M.

 
9781330047279: Graphical Calculus (Classic Reprint)

Synopsis

See how visual, step-by-step ideas turn calculus into practical tools for engineers and students.

Graphical Calculus explains differentiation and integration through concrete, visual methods. It emphasizes understanding the meaning of the calculus from the start, using diagrams and simple quantities to connect rates, areas, and curves. The book aims to build an intelligent working knowledge of the subject, not just symbol practice, so readers can think about problems in a concrete way and apply calculus to real engineering questions. What you’ll experience:

  • Clear explanations of how areas under curves relate to derivatives and how slopes connect to rates of change.
  • Graphical methods that illuminate concepts before diving into algebraic manipulation.
  • Discussions of practical examples and foundational ideas that link calculus to other areas of math and engineering.
  • Guidance on interpreting and applying the ideas to solve real-world problems.
Ideal for readers seeking a practical, picture-based introduction to the calculus that builds intuition and transferable understanding.

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Présentation de l'éditeur

Excerpt from Graphical Calculus

All "up-to-date" teachers of engineering and applied sciences generally now recognize the vast superiority of graphical over purely mathematical methods of imparting instruction of almost every description. The former are much more convincing to the student, because they appeal to the eye, the training of which is one of the chief objects to be aimed at in the education of an engineer. There is no doubt that this method is capable of great extension with advantage. In this little book, for instance, we see graphical constructions of a very simple character employed to teach what, to the beginner, are somewhat abstruse mathematical principles.

The attempt to employ purely mathematical, in preference to graphical methods, seems to me quite as absurd as attempting to teach geography by giving the position of towns in terms of their latitude and longitude, and explaining the shape of a country by giving the equation to the coast-line instead of by employing the graphical method, i.e. exhibiting a map.

About the Publisher

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This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

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