Graphical Methods: A Course of Lectures Delivered in Columbia University, New York, October, 1909, to January, 1910 (Classic Reprint) - Hardcover

Carl Runge

9780331994605: Graphical Methods: A Course of Lectures Delivered in Columbia University, New York, October, 1909, to January, 1910 (Classic Reprint)

Hardcover

ISBN 10: 0331994607 ISBN 13: 9780331994605

Publisher: Forgotten Books, 2017

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Master graphical thinking that makes complex math visual and practical.

This classic text introduces graphical methods as a powerful way to understand and solve mathematical problems. It shows how quantities can be represented with lines, areas, and other figures, and why these visuals can be easier to manipulate than algebra alone. The book blends theory with hands‑on practice, encouraging repeated, concrete exercises to build true proficiency.

Framed as a course of lectures from Columbia University in 1909–1910, the material emphasizes general methods you can apply to a wide range of problems. It explains how to add, subtract, and compare quantities graphically, how to handle functions of several variables, and how to translate differential and integral calculations into visual procedures. The text also discusses how to adapt methods when numbers grow large or when straightforward algebra becomes unwieldy, always with an eye toward practical application.

Clear explanations of representing quantities by lines, areas, and other shapes
Step‑by‑step approaches to graphical calculation, including handling sums and differences
Techniques for graphically representing functions of one or more variables
Guidance on applying these methods to differential and integral calculus

Ideal for readers new to graphical methods and for those seeking a historical, practical approach to visual problem solving in mathematics.

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