Title: The Directional Calculus : Based Upon the Methods of Hermann Grassmann (Classic Reprint)
Publisher: Forgotten Books Jan 2019
Publication Date: 2019
Language: English
ISBN 10: 1330367308
ISBN 13: 9781330367308
Binding: Taschenbuch
Condition: Neu
Dimensions: 371 millimeters width by 152 millimeters height by 15 millimeters depth
Weight: 274 grams

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This book delves into the fascinating world of directional calculus, a mathematical system with profound implications for geometry and mechanics. It offers a comprehensive exploration of the methods pioneered by Hermann Grassmann, a visionary mathematician whose work remained largely unrecognized during his time. The author presents a compelling case for the superiority of Grassmann's approach over traditional Cartesian coordinate systems and even Hamilton's quaternions. By emphasizing the inherent geometric dimensions of mathematical quantities, this system provides a more intuitive and elegant framework for understanding complex concepts. Readers will encounter a rich landscape of geometric entities, including points, lines, planes, and vectors, each playing a distinct role in the calculus. The book delves into fundamental operations like addition, subtraction, and multiplication, revealing how these actions interact with geometric objects. As the book progresses, it ventures into applications of directional calculus within plane and solid geometry. Explorations of conics, quadrics, and other geometric figures showcase the power and versatility of this mathematical system. The final chapters extend these principles into the realm of statics, demonstrating how directional calculus can be applied to analyze forces and equilibrium in physical systems. Through its clear explanations and practical examples, this book illuminates the profound elegance and utility of directional calculus, offering readers a deeper appreciation for the underlying structure of geometric space and its applications in various scientific disciplines.

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