The Directional Calculus: Based Upon the Methods of Hermann Grassmann (Classic Reprint) - Hardcover

E. W. Hyde

Hardcover

ISBN 10: 0266860575 ISBN 13: 9780266860570

Publisher: Forgotten Books, 2018

Synopsis

Unlock a bold approach to geometry with directional calculus, a framework built on Grassmann’s methods to illuminate plane problems.

This edition foregrounds a practical path for using vectors, conjugates, and linear forms to model and solve geometric questions. You’ll encounter inversion techniques, self-conjugate functions, and the way these ideas simplify operations in plane space.

Through clear development of concepts like conjugate functions, inversion formulas, and self-conjugate forms, readers learn to express and manipulate second-degree terms and to find centers, tangents, and loci in plane geometry. The text shows how to reframe classical problems into a vector language that highlights invariants and structural properties, with concrete steps and worked examples.

• Understand how to write and invert linear and quadratic forms using conjugate functions.
• See how centers, tangents, and loci arise from changing the origin and using invariant quantities.
• Explore applications to plane geometry with practical formulas and worked cases.
• Gain a foundation for broader uses in geometry, mechanics, and related fields.

Ideal for readers of advanced geometry and vector calculus who want a rigorous, hands-on approach to plane problems.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0266860575
• ISBN 13: 9780266860570
• Binding: Hardcover
• Number of pages: 271