The Principles of Mathematics (1903)

Chapter XLIV. Dimensions and Complex Numbers

Table of Contents

  1. § 351. Retrospect
  2. § 352. Geometry is the science of series of two or more dimensions
  3. § 353. Non-Euclidean geometry
  4. § 354. Definition of dimensions
  5. § 355. Remarks on the definition
  6. § 356. The definition of dimensions is purely logical
  7. § 357. Complex numbers and universal algebra
  8. § 358. Algebraical generalization of number
  9. § 359. Definition of complex numbers
  10. § 360. Remarks on the definition