Adventures in the world of matrices /

The purpose of the book is to give the reader an appreciation for the beauty and mathematical research by building up step by step a theory of cycle matrices.

Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gerdes, Paulus
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Nova Science Publishers, ©2007.
Colección:Contemporary mathematical studies.
Temas:
Matrices.
MATHEMATICS > Matrices.
Matrices
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Table of Contents:
  • Preface
  • Presentation
  • Chapter 1. The Concept of Matrix
  • Chapter 2. Cycles of Numbers
  • Chapter 3. Some Matrices of Alternating Cycles
  • Chapter 4. Alternating Cycle Matrices of Dimensions 4 by 4. First Part
  • Chapter 5. Alternating Cycle Matrices of Dimensions 4 by 4. Second Part
  • Chapter 6. Alternating Cycle Matrices of Dimensions 4 by 4. Third Part: Multiplication Tables
  • Chapter 7. Some more Properties of Alternating Cycle Matrices of Dimensions 4 by 4
  • Chapter 8. Negative Alternating Cycle Matrices of Dimensions 6 by 6
  • Chapter 9. Multiplication of Negative Alternating Cycle Matrices of Dimensions 6 by 6
  • Chapter 10. Multiplication of Positive and Negative Alternating Cycle Matrices of Dimensions 6 by 6
  • Chapter 11. Alternating Cycle Matrices of Even Dimensions
  • Chapter 12. General Hypotheses Concerning Alternating Cycle Matrices of Even Dimensions
  • Chapter 13. Alternating Cycle Matrices of Dimensions 5 by 5
  • Chapter 14. Multiplication of Positive and Negative Alternating Cycle Matrices of Dimensions 3 by 3
  • Chapter 15. Alternating Cycle Matrices of Dimensions 7 by 7
  • Chapter 16. Multiplication Tables of basic Positive and Negative Alternating Cycle Matrices of Dimensions 7 by 7
  • Chapter 17. Cyclic Structure of the Multiplication Tables
  • Chapter 18. Multiplication Tables of basic Positive and Negative Alternating Cycle Matrices of Dimensions 6 by 6
  • Chapter 19. Outline of a Proof
  • Chapter 20. Multiplication of basic Positive Alternating Cycle Matrices of Even Dimensions: Formulation of Hypotheses
  • Chapter 21. Multiplication of basic Positive Alternating Cycle Matrices of Even Dimensions: Some Proofs
  • Chapter 22. Proof Activities
  • Chapter 23. Cycle Matrices of Dimensions 6 by 6 and of Period 3
  • Chapter 24. Other Periodic Cycle Matrices of Dimensions 6 by 6
  • Chapter 25. Periodic Cycle Matrices of Odd Dimensions
  • Chapter 26. The World of Periodic Cycle Matrices
  • Chapter 27. Discovering the World of Cycle Matrices
  • Chapter 28. Cycle Matrices, Genetic Matrices and the Golden Section
  • Chapter 29. Bibliography
  • Chapter 30. Note about the use of a Computer
  • Appendices
  • Chapter 31. Inverse Matrices
  • Chapter 32. Determinants
  • Chapter 33. Transformations of Alternating Cycle Matrices. Permutations
  • Chapter 34. Polygonal and Circular Representations
  • Index.

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