Principles of Geometry, Vol. 5 (Classic Reprint): Analytical Principles of the Theory of Curves (Classic Reprint) - Softcover

Inhaltsangabe

Delve into the analytical geometry of curves with Baker’s Principles of Geometry, Vol. 5. This volume explores how curves behave in space and how algebraic methods describe their shapes, using clear, rigorous reasoning to connect geometry with functions and surfaces.

This edition surveys key ideas in the theory of curves, including manifolds, Riemann surfaces, and the interplay between algebraic functions and geometry. It highlights tools like loops for periods, adjoint curves, and canonical forms, showing how complex structures arise from fundamental principles.

• Periods of algebraic integrals and their geometric meaning


• Riemann-surface representations for multi-valued functions


• Canonical forms, adjoint curves, and sections of linear series


• Methods such as loops and modular theory in algebraic geometry

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