Uniplanar Algebra, Vol. 1 (Classic Reprint): Being of a Propædeutic to the Higher Mathematical Analysis: Being of a Propædeutic to the Higher Mathematical Analysis (Classic Reprint) - Softcover

Inhaltsangabe

Unlock the foundations of complex quantities through a geometric lens. This edition presents a clear, geometrically flavored path to the algebra of complex numbers, built on a fixed real axis and vectors in the plane. It explains how addition, multiplication, and the handling of real, imaginary, and complex magnitudes come together to form a complete, usable algebra.

This work targets readers who already know elementary algebra and trigonometry, offering a rapid review and a broad survey of topics from basic operations to advanced ideas like logarithms, exponentials, and graphical transformations. It emphasizes the connection between algebraic rules and their geometric meanings, helping you see why formulas work as you apply them to complex quantities.

• How vectors, tensors, and versors represent complex magnitudes and how their amplitude and direction determine their behavior.


• Geometric addition and multiplication and the theorems that support them, including the role of the imaginary unit and conjugates.


• Foundations of polynomial theory, Argand’s theorem, and the algebraic structure behind roots and equations.


• Introductory tools for later topics in cyclometry, orthomorphosis, and planar transformations.

Ideal for readers of advanced algebra or early complex-variable topics who want a solid, geometry-backed framework for complex quantities and their operations, with clear proofs and practical implications.

Ideal for readers of related fields who seek a rigorous, geometric approach to complex algebra and its applications in higher mathematics.

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